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Coandă effect

The Coandă effect is the aerodynamic and hydrodynamic phenomenon in which a jet of fluid, such as air or water, tends to attach itself to and follow the contour of a nearby curved or convex surface, rather than continuing in its initial straight path. Named after Romanian aeronautical engineer Henri Coandă (1886–1972), the effect was first systematically described and patented by him in France on October 8, 1934, under patent number FR 792754, titled "Procédure et dispositif pour la déviation d'un fluide dans un autre fluide" (Method and device for deflecting a fluid into another fluid), with a corresponding U.S. patent (US2052869A) granted in 1936. Coandă's observation stemmed from experiments with his early jet-propelled aircraft design, the Coandă-1910, exhibited in 1910, though the effect itself had been noted sporadically in fluid dynamics literature as early as 1800 by Thomas Young. The phenomenon occurs due to viscous entrainment: the high-velocity jet draws in surrounding ambient fluid toward the surface, generating a low-pressure region between the jet and the surface that attracts and anchors the jet, while higher pressure on the opposite side reinforces the deflection. This behavior is influenced by factors including jet velocity, surface curvature, fluid viscosity, and the gap between the jet and surface, with the effect diminishing if the gap is too large or the surface too flat. In , the Coandă effect enables circulation control on airfoils, where tangential blowing along a curved trailing edge delays and can produce lift coefficients exceeding 10 in some configurations, as explored in studies on upper-surface blowing for short takeoff and landing () aircraft. It also facilitates thrust vectoring in jet engines by directing exhaust flows along contoured nozzles for improved maneuverability without mechanical actuators. Beyond , applications include fluidic amplifiers and sensors in systems, ventilation designs that distribute air more evenly using curved diffusers, and medical devices exploiting the effect for blood flow simulation in models. Recent research, such as analyses as of 2025, continues to refine predictions of the effect under compressible and viscous conditions, revealing its role in phenomena like base heating during rocket launches and emerging uses in ocean resource harvesting.

History

Discovery

Henri Coandă, a inventor and aeronautical pioneer born on June 7, 1886, in , first observed the phenomenon now known as the Coandă effect during his early experiments in . In 1910, Coandă designed and constructed the , an unconventional featuring a powered by a modified 50-horsepower Gnome rotary engine that drew in air, heated it, and expelled it as a for propulsion. During its initial ground test on December 10, 1910, at Issy-les-Moulineaux airfield near , Coandă lost control amid flames, and the aircraft crashed and burned without achieving sustained flight. Coandă later reflected that this incident highlighted a novel fluid dynamic interaction in the context of early 20th-century efforts to develop jet-like propulsion systems. The phenomenon had been noted earlier in literature, as early as 1800 by Thomas Young, who described the tendency of to follow curved paths near surfaces. Coandă formally claimed discovery of the effect in a 1934 (FR 792754, filed October 8, 1934) for a "method and apparatus for deviation of a into another ," where he described how a of could be deflected by adhering to a nearby surface, building on his 1910 observations for practical applications in , with a corresponding U.S. (US2052869A) granted in 1936. The effect was named after him by expert following their discussions on Coandă's work, recognizing its significance in .

Early Developments

Following Henri Coandă's initial observation during his 1910 experiments with a jet-powered , the effect began to receive scientific validation in the 1930s through discussions involving , who named the phenomenon the Coandă effect in recognition of Coandă's prior work and emphasized its implications for , establishing it as a distinct fluid dynamic principle. Post-World War II, the Coandă effect attracted significant interest from and American researchers due to its potential in and systems, leading to its for applications. In the , this recognition spurred a wave of patents for fluidic devices exploiting the effect, marking the birth of as a no-moving-parts for logic and , with early applications in and industrial automation. Theoretical advancements in the further solidified understanding of the effect, with seminal papers exploring jet attachment mechanisms. These works, building on theory, highlighted the role of and surface proximity in sustaining the jet's adherence. As part of its on jet-deflection devices, the (NACA) conducted an exploratory study in 1958 on the use of the Coandă effect. The investigation evaluated lift and thrust using Coanda nozzles in tests, reporting maximum lift-to-undeflected thrust ratios up to 0.48 at pressure ratios of 2.1. This research underscored the effect's viability for applications in vertical/short takeoff and landing (VTOL/STOL) aircraft.

Mechanism

Basic Principles

The Coandă effect describes the tendency of a , whether gaseous or , to attach itself to and follow the of a nearby curved or surface, rather than continuing in a straight . This attachment occurs primarily due to differences arising from the between the jet and the adjacent surface, which deflect the jet's path along the surface's . A key mechanism driving this phenomenon is the of ambient into the . As the flows, it draws in surrounding , particularly on the side facing , generating a of lower in that vicinity compared to the opposite side. This imbalance creates a radial that pulls the toward , enabling it to overcome its inertial tendency to travel straight and instead adhere to the curved path. Viscosity contributes significantly to the attachment by promoting the formation of a near the surface, where frictional forces transfer between the jet and the ambient , enhancing mixing and sustaining the low-pressure zone. For liquid jets, plays an additional role by increasing the fluid's and to the surface, further stabilizing the attachment along the . Conceptually, this can be visualized in a simple diagram contrasting a free jet, which propagates linearly without deflection, against a Coandă-affected jet near a curved wall, where the flow bends smoothly along the wall's shape due to the induced pressure differential and entrainment.

Advanced Models

The Coandă effect can be mathematically described through the pressure gradient that induces jet curvature toward a nearby surface, primarily via the application of Bernoulli's principle along streamlines. The pressure difference ΔP across the jet arises from the velocity disparity between the high-speed jet core (velocity v) and the slower wall-parallel flow (velocity u), given by \Delta P = \frac{1}{2} \rho (v^2 - u^2), where \rho is the fluid density; this gradient provides the centripetal force necessary for the jet to follow the surface contour. The influence of the Reynolds number, defined as \mathrm{Re} = \frac{\rho v d}{\mu} with d as the jet width and \mu as dynamic viscosity, plays a critical role in attachment strength, particularly in turbulent regimes where higher Re (typically >10^3) enhances mixing and, through turbulent effects, promotes sustained adhesion to the surface despite boundary layer thickening. Recent 2025 research has advanced understanding by elucidating the interplay of viscosity, compressibility, fluid properties, geometry, and surface asperities in driving the effect. Numerical simulations using (CFD), such as (LES) with high-resolution grids, effectively predict the attachment radius by resolving turbulent structures and separation angles, offering superior accuracy over Reynolds-averaged Navier-Stokes (RANS) approaches for quantifying deflection extent.

Conditions for Existence

Wall Jet

In the wall jet configuration, the Coandă effect arises when a issues parallel or nearly parallel to a nearby flat or curved surface, leading to attachment through interactions within the . The low pressure developed in the between the and the wall pulls the jet toward the surface, causing it to follow the contour rather than deflecting away. This setup typically involves a positioned such that the jet emerges tangentially, promoting sustained contact via viscous effects and pressure gradients. Critical parameters governing the manifestation of the Coandă effect in this configuration include the jet-to-wall distance, often normalized as the ratio h/d, where h is the distance and d is the diameter. Strong attachment occurs when h/d < 1, as smaller separations enhance the influence of the boundary layer and minimize separation risks. The radius of curvature of the surface also significantly affects the effect; for curved walls, a ratio of jet width to curvature radius less than 0.5 ensures robust adherence by balancing centrifugal forces with viscous entrainment. Flow characteristics in the wall-attached jet include elevated shear stress along the surface, resulting from the jet's deflection and close proximity to the wall, which intensifies frictional interactions. The velocity profile near the wall exhibits flattening, with a more uniform distribution across the jet height compared to unattached flows, reflecting reduced entrainment on the wall side and enhanced momentum transfer. This attachment is further supported by the general entrainment mechanism, whereby ambient fluid ingestion creates asymmetric pressure fields that reinforce adherence. Recent 2024 research on shallow-water offset jets in hydraulic models demonstrates enhanced under free-surface conditions, where the jet-to-wall attachment is amplified compared to conventional two- or three-dimensional air jets. In this setup, the jet emerges offset from a lateral wall in a shallow water layer, with free-surface effects—governed by around 0.27 and up to 8000—promoting greater lateral deviation and stability through suppressed entrainment above the surface. Large-eddy simulations and particle image velocimetry experiments reveal stronger boundary layer adhesion, with the free surface acting as a virtual boundary that reduces upward momentum loss and intensifies wall-directed flow.

Free Jet

In the free jet configuration of the Coandă effect, a fluid jet is issued into an open space in close proximity to a nearby surface without direct contact, leading to deflection toward that surface due to induced pressure gradients arising from the jet's entrainment of ambient fluid. This entrainment process creates a region of lower pressure adjacent to the surface, as the jet draws in surrounding fluid asymmetrically, generating a transverse pressure difference that curves the jet trajectory. The deflection is most pronounced when the separation between the jet exit and the surface is small relative to the jet dimensions, allowing the pressure imbalance to dominate over the jet's initial momentum. The effect diminishes significantly beyond a critical offset ratio of h/d > 5, where h represents the distance from the jet nozzle to and d is the jet , as the influence of the induced gradients weakens relative to the jet's . At such larger separations, the jet tends to maintain a more linear path, with reduced , highlighting the role of jet in counteracting the entrainment-driven deflection. For inclined free jets, the Coandă effect manifests in variations where the jet approaches an asymptotic attachment relative to , determined by the initial inclination and the balance between forces and jet . This asymptotic behavior reflects the jet's gradual alignment toward without full contact, as modeled in analyses that predict the equilibrium deflection based on and incidence parameters. Recent 2025 studies on compressible free jets, particularly in exhaust applications, have elucidated the influence of on deflection, showing that higher s (e.g., up to 1.9) reduce the Coandă effect's strength due to diminished efficiency in supersonic regimes, impacting and strategies. These investigations demonstrate that effects alter the pressure gradients, leading to less pronounced jet curving at elevated speeds compared to conditions.

Applications

Aviation

The Coandă effect has found significant application in for enhancing aerodynamic performance, particularly in augmentation and control during low-speed operations such as . By leveraging the tendency of a jet or to follow a curved surface, engineers have developed configurations that increase circulation around airfoils, thereby improving without proportionally increasing . This principle has been explored in both early experimental designs and modern short (STOL) technologies, contributing to more efficient aircraft operations in constrained environments. One of the earliest applications was the aircraft, developed by Romanian inventor in 1910 as an unconventional sesquiplane powered by a rather than a traditional . The design integrated a turbo-propulseur that exhausted hot gases over the curved upper surfaces of the wings and , exploiting the Coandă effect to generate additional and for short takeoffs and landings. Intended to achieve vertical or near-vertical flight capabilities, the aircraft demonstrated the effect during a brief ground run at the Second International Aeronautical Exhibition in , where the jet attached to the surfaces as planned, though a subsequent fire from the hot exhaust prevented sustained flight. This pioneering effort highlighted the potential of boundary layer attachment in propulsion-augmented , influencing later jet and fan-based designs despite the prototype's limitations. In the mid-20th century, the upper surface blowing (USB) technique emerged as a practical implementation of the Coandă effect for STOL aircraft, particularly in jet-powered configurations. Here, engine exhaust is directed through nozzles over the upper wing surface and large-chord flaps, where the jet adheres to the curved geometry, entraining ambient air and amplifying wing circulation to produce lift increments up to three times that of conventional wings at low speeds. NASA's wind-tunnel investigations in the 1970s, including tests on semispan models of jet transports, validated this approach, showing maximum lift coefficients exceeding 7.0 and effective angles of attack up to 80 degrees with minimal separation, which supported the development of quiet, short-haul aircraft prototypes like the Boeing YC-14. These studies emphasized the effect's role in reducing takeoff distances by 50% or more compared to unflapped designs, though challenges like jet noise and structural heating required further refinements. For propeller-driven aircraft, the Coandă effect enhances low-speed by promoting attachment of the propeller to flaps, which increases local and delays at high deflection angles. This interaction augments on the inboard sections, improving roll and stall margins during maneuvers like turns or go-arounds. Analytical and experimental work by in the 1960s and 1970s demonstrated that rotation and velocity profiles contribute to this attachment, with gains of 20-30% observed in configurations where flaps are positioned to align with the swirling flow, as seen in transports like the DHC-6 Twin Otter. Such applications underscore the effect's utility in and regional aircraft, where it aids precise handling without auxiliary systems.

Air Conditioning

The Coandă effect is integral to air conditioning systems in (HVAC) designs, enabling efficient air distribution through diffusers and vents. In typical setups, conditioned air is ejected from -mounted diffusers as a that adheres to the ceiling contour due to the differential, creating a thin layer of flow that spreads laterally across the surface. This attachment promotes uniform mixing of supply air with room air, reducing the risk of drafts and while maintaining in occupied zones. The effect counteracts the natural descent of cooler air streams, allowing for broader coverage without excessive . Slot diffusers exemplify this application, utilizing narrow linear nozzles to produce coherent jets that follow adjacent surfaces, such as walls or ceilings, for extended reach. These devices are particularly effective in large interior spaces, where the attached flow ensures comprehensive air circulation over wide areas, such as conference rooms or atriums, by inducing secondary flows along the surface. The Coandă-driven attachment in slot diffusers facilitates precise control of airflow patterns, enhancing ventilation efficacy near architectural features like windows. Leveraging the Coandă effect yields notable savings in HVAC operations, as the adhered jet achieves longer throw distances at lower discharge velocities, thereby reducing the required fan power for adequate . This stems from the effect's ability to extend range without increasing energy input, potentially lowering overall system consumption in conditioned environments. The attached flow also entrains ambient room air, promoting rapid mixing with minimal additional mechanical effort. Commercial systems in office buildings have employed the Coandă effect since the , aligning with the era's expansion of centralized HVAC in high-rise and open-plan structures to support growing workforce demands. Examples include linear slot diffusers integrated into suspended ceilings for perimeter zones, where ensures draft-free conditioning across expansive floors.

Healthcare

The Coandă effect plays a role in delivery systems, particularly in inhalers and nebulizers, where the attachment of jets to curved surfaces enhances targeted deposition in the s. In dry powder inhalers (DPIs), the high-velocity air jet generated during actuation tends to adhere to the walls of the patient interface due to the Coandă effect, directing particles toward the while minimizing losses to device surfaces. This phenomenon improves the efficiency of for respiratory conditions such as and (COPD) by promoting better entrainment and transport of fine particles to the lower airways. studies of infant air-jet DPIs have shown that the Coandă effect influences particle trajectories, leading to higher deposition in deeper regions despite increased wall impaction in proximal areas. In jet nebulizers, a common device for respiratory therapy, the Coandă effect contributes to the process and flow patterns within the nebulizer chamber, where jets interact with liquid medication to produce inhalable mist. This attachment to internal surfaces helps control spray dispersion and , optimizing output for therapeutic efficacy. During the , advancements in fluidic led to the incorporation of Coandă principles in respiratory devices, including early nebulizer designs that leveraged jet attachment for more consistent generation and delivery in clinical settings. The Coandă effect is also utilized in ventilators and oxygen delivery systems to enhance gas mixing and flow directionality. In fluidic ventilators, such as the Penlon Nuffield 200 model developed in the late 1970s and widely used into the 1980s, the effect enables bistable switching in pneumatic logic circuits, allowing reliable control of without mechanical valves. For , high-flow nasal cannulas like Optiflow employ the Coandă effect to promote of ambient air, improving oxygen mixing and humidification in masks or prongs for patients with acute respiratory distress. In neonatal (CPAP) generators, the effect facilitates fluidic flip mechanisms triggered by infant breathing efforts, ensuring stable pressure delivery and enhanced oxygenation. These applications highlight the Coandă effect's utility in wall jet configurations within compact devices, where surface attachment directs flows precisely along contours for therapeutic benefit.

Meteorology

In , the Coandă effect manifests in natural atmospheric flows where air currents attach to curved features, influencing local patterns in specific orographic contexts. When flows over convex surfaces such as hills or ridges, the effect causes the airstream to adhere to rather than deflecting freely, leading to enhanced of surrounding air and the generation of along the . For instance, observations at geothermal terraces in have shown clouds curving and adhering to embankment surfaces during easterly winds, demonstrating jet attachment over curved . The Coandă effect also plays a role in rainfall patterns by deflecting jet streams or low-level winds around slopes, concentrating moisture uplift on windward sides and altering distribution. Similarly, upper-level jet streams interacting with barriers experience attachment and diversion, intensifying and rainfall on leeward slopes through enhanced and convergence. Observational studies linking the Coandă effect to microscale phenomena have emerged since the , building on earlier theoretical work. in climatology has documented its influence on orographic winds, such as gap flows and foehn-like deflections, using and wind data from complex terrain sites. For example, analyses of over ridges in the highlighted how the effect generates localized and streets, with field measurements confirming attachment-induced scales on the order of 100-500 meters. These studies, often integrating networks and , underscore the effect's role in fine-scale variability and dynamics.

Automotive

In Formula 1 racing, the Coandă effect has been instrumental in enhancing ground effect aerodynamics through diffuser designs that promote airflow attachment to curved underbody surfaces, generating substantial downforce by accelerating air beneath the car. During the 1970s and 1980s, pioneering teams like Lotus employed venturi-shaped underbodies with side skirts and ramps in models such as the Lotus 78 and 79, where the effect ensured sustained flow adhesion to the diffuser geometry, creating a low-pressure zone that increased cornering speeds by up to 25 mph compared to non-ground-effect cars. This approach dominated the era until safety concerns over sudden loss of downforce led to regulatory changes. The Coandă effect also influences spoiler airflow in automotive applications, where exhaust or venturi-induced jets are guided along body contours to reduce by re-energizing layers and minimizing wake formation. In passenger vehicles, studies have demonstrated that applying Coandă-based flow control—such as directed air jets along rear s or curved rear ends—can achieve up to 10% reduction by elevating base pressure and suppressing separation vortices. Similar principles appear in exhaust systems, like the Coandă exhausts introduced in F1 around , which directed hot gases to follow sidepod curves, lowering coefficients while boosting diffuser . For wet-weather performance, the Coandă effect aids tire spray control in rain tires by directing water jets along tread grooves and surfaces, reducing upward spray that impairs visibility. Specialized tread patterns in racing slicks and intermediates leverage the effect to channel displaced water laterally or downward, minimizing plume height behind the vehicle during high-speed conditions. In the , the FIA introduced regulations targeting underbody flows influenced by the Coandă effect, notably the 1994 mandate for a 10 mm wooden plank along the flat underbody to enforce minimum and curb excessive ground effect gains despite the 1983 ban on skirts. This measure addressed teams' attempts to lower cars for enhanced flow attachment, ensuring safer aerodynamics by limiting proximity to the track surface and reducing variability.

Fluidics

Fluidics represents a branch of that leverages dynamic phenomena, such as the Coandă effect, to perform logical operations and control functions without mechanical or electrical components. In these systems, a primary of is directed into a device where it interacts with control jets or surfaces, enabling , switching, and through the attachment and deflection of fluid streams. The Coandă effect plays a central role by causing the jet to adhere to curved walls, facilitating bistable behavior essential for non-mechanical logic. Fluidic amplifiers utilize the Coandă effect to achieve by deflecting a high-velocity power jet with low-energy jets, resulting in without . In a typical bistable , the power jet attaches to one of two opposing curved walls due to the pressure differential created by the effect, directing the output to one port or the other; a jet can then switch the attachment to the opposite wall, amplifying the input signal by factors of 10 to 100 in . This design, developed at the Harry Diamond Laboratories, allows for proportional or digital in pneumatic or hydraulic systems. Switches and oscillators in fluidics exploit the wall attachment property of the Coandă effect to implement logic gates and dynamic operations. For switches, the bistable attachment enables OR/NOR gate functionality, where the jet's preference for one wall or the other represents states, toggled by control inputs without physical contact. Oscillators incorporate paths that periodically deflect the between walls, producing cyclic outputs at frequencies from 1 Hz to several kHz, useful for timing and in fluid logic circuits. These elements form the basis of integrated fluidic circuits capable of performing complex computations analogous to electronic systems. A key advantage of Coandă-based fluidics is their reliability in harsh environments, such as high temperatures, vibrations, , or explosive atmospheres, where or might fail; this made them particularly valuable for military applications in the 1960s, including and systems. The absence of wear-prone components ensures long-term operation with minimal maintenance, often exceeding 10,000 hours in continuous use. The foundational invention of Coandă-based occurred in at the U.S. Army's Ordnance Laboratories, where John P. Bowles, Raymond W. Warren, and B.M. Horton filed a for a multistable fluid-operated system employing jet deflection via wall attachment, marking the birth of practical fluidic amplifiers. This work built on earlier observations of the Coandă effect and led to rapid adoption in defense technologies.

Industrial Mixing

In industrial mixing processes, the Coandă effect facilitates efficient and homogenization through ejector mixers, where a primary adheres to a curved surface, inducing secondary flows without . This attachment promotes high ratios of induced to primary mass flow rates, enabling effective blending of for applications like homogenization in continuous processes. The mechanism arises from pressure gradients created by the jet's adherence, drawing in surrounding to enhance mixing uniformity. In chemical reactors, curved nozzles leveraging the Coandă effect generate oscillating jets that intensify turbulent mixing, particularly in micromixers for miscible liquids. These designs exploit the jet's tendency to switch attachment between opposing walls, creating chaotic flow patterns that accelerate and reaction rates while minimizing dead zones. Such configurations are suited for small-scale reactors requiring rapid, uniform blending. The Coandă effect contributes to in multiphase flows, such as gas-liquid systems, by optimizing to reduce pumping requirements compared to mechanical agitators. Simulations demonstrate that narrower gaps enhance induction, lowering overall energy input for homogenization in viscous or multiphase mixtures. A notable example from the 1970s involves applications, where Coandă-based oil-water separators were developed for systems to entrain and separate emulsions, improving homogeneity in and refining operations. These devices utilized curved surfaces to direct jets for efficient , addressing mixing challenges in transport.

Emerging Uses

In , a novel rotating Coandă-type intake system has been developed to enhance water diversion from sediment-laden flows, particularly for improving by maximizing water capture while minimizing clogging. This patented design leverages the Coandă effect to direct flow along a curved, rotating surface, achieving up to 95% release in numerical simulations under varying flow conditions typical of intakes. Compared to traditional or static Coandă intakes, the rotating mechanism reduces operational maintenance needs in sediment-prone environments, with optimal performance observed at rotation speeds aligning with approach flow velocities of 0.5–1.5 m/s. Recent advancements in incorporate the Coandă effect into compressibility-enhanced flap designs for unmanned aerial vehicles (UAVs) and electric vertical takeoff and landing () aircraft, enabling superior lift generation at high angles of . These flaps utilize jet attachment to curved surfaces to delay , with 2025 AIAA proceedings highlighting simulations showing 20–30% improvements in maximum lift coefficients under conditions for distributed propulsion systems. Such innovations address challenges by reducing stall speeds and enhancing short takeoff performance without additional mechanical complexity. In underwater , the Coandă effect facilitates systems that follow hull contours for precise maneuverability in low-speed, cluttered environments. Multi-degree-of-freedom Coandă-effect thrusters, such as those using high-bandwidth valves, enable control by deflecting water jets along the vehicle body, achieving tracking errors below 5% in dynamic simulations. This approach outperforms traditional propellers in confined spaces, with prototypes demonstrating enhanced stability during hover and turns at speeds up to 0.3 m/s. Shallow-water models incorporating the Coandă effect have emerged for coastal engineering applications, simulating jet-wall interactions to predict flow deviation in free-surface offset jets. Experimental and numerical studies from 2025 reveal that the effect causes jets to adhere to nearby boundaries, influencing sediment transport and erosion patterns in coastal zones with depths below 1 m. These models provide critical insights for designing breakwaters and inlet structures, where attachment lengths extend up to 10 times the jet width, aiding in flood mitigation and harbor protection. In additive manufacturing, the Coandă effect is applied in fluid control systems to manage spatter particles during , preventing defects in metal components. flows exploit the effect to direct spatter away from the build area, with 2025 studies showing a 40% reduction in porosity-related failures when designs promote downward attachment to the . This technique, detailed in developments, enhances build quality for high-precision parts without altering parameters.

Demonstrations

Laboratory Experiments

One common laboratory demonstration often associated with the Coandă effect uses a stream of water directed tangentially onto the curved handle of a metal spoon held lightly at one end. When the spoon is brought into contact with the water flow from a faucet, the jet appears to adhere to the convex surface of the handle, following its curvature; however, this is primarily due to surface tension and adhesion rather than the Coandă effect. This setup visually illustrates fluid behavior and can be performed at flow rates typical of household taps, around 5-10 L/min. A more quantitative variant replaces the spoon with a PVC (diameter approximately 63 mm) positioned at a 30° to a from a Mariotte bottle, maintaining a of 16 cm³/s. The attaches to the cylinder's surface, deflecting tangentially with a of about 0.7 m/s along the curve and separating at around 0.78 m/s, exerting a measurable of 16 mN detectable via a . This configuration allows for data logging of attachment dynamics and parabolic post-separation trajectories. Wind tunnel experiments employ smoke visualization to observe jet deflection angles in controlled airflow. In low-speed tunnels, a thin smoke stream is introduced into a blown jet over a curved model surface, such as an airfoil flap, revealing how the flow adheres and turns, often by 60° or more depending on jet momentum. These tests, conducted at velocities around 3-6 m/s, highlight the effect's role in boundary layer enhancement under wall jet conditions. Safety in these experiments prioritizes low-pressure air jets and protective to prevent hazards from high-velocity flows. Enclosed setups are standard, with water-based demos inherently safer due to lower speeds.

Everyday Illustrations

One everyday often cited for the Coandă effect involves a thin stream of from a faucet directed tangent to the curved edge of a or the back of a ; the adheres to and follows the convex surface, deflecting its along the contour. However, this behavior is primarily due to the fluid's , , and at the solid-liquid interface, where the develops and compels the to conform to geometry, rather than the Coandă effect. A classic unambiguous demonstration of the Coandă effect is the of a ping-pong ball in a vertical stream of air from a hairdryer or source. The air jet attaches to the curved surface of the ball, creating a low-pressure region that suspends it stably even when tilted, illustrating and effects without surface tension dominance. Another accessible example is blowing a steady stream of air horizontally over the top surface of a loosely hanging strip of paper; the paper lifts upward as the airflow clings to its downward-curving shape due to the Coandă effect, generating lower pressure on the upper side and an upward reactive force per Newton's third law. In practical scenarios like firefighting, a high-velocity water jet from a hose nozzle can curve and adhere to nearby curved obstacles or surfaces, following their path rather than dispersing freely; this deflection, enhanced by the Coandă effect in specialized nozzles, allows better control of the stream in complex environments. The curving in these illustrations stems from , where the jet draws in surrounding , creating imbalances that sustain attachment to .

Challenges and Limitations

Engineering Problems

One significant challenge in utilizing the Coandă effect arises from the unpredictable attachment of jets to surfaces under variable flow conditions, which can lead to inefficiencies and heightened risks of in systems. In highly loaded cascades, for instance, the jet's attachment becomes unstable due to fluctuating inlet conditions, resulting in premature and reduced aerodynamic performance unless mitigated by mechanisms. This instability exacerbates risks in engines, where the effect is employed for , demanding precise modulation to maintain attachment and avoid efficiency losses exceeding 20% in off-design scenarios. Scaling the Coandă effect to micro- and nano-scales introduces further difficulties, as dominates at low Reynolds numbers, altering the attachment mechanism compared to inertial forces at larger scales. In microfluidic devices, this viscous dominance affects jet entrainment patterns, complicating design for applications like systems. The interplay between and becomes critical, often requiring compensatory adjustments in surface to sustain the effect. Material wear poses another key problem, stemming from the high stresses imposed by the attached on nearby surfaces, which accelerate and degrade system longevity. In Coandă-effect screens used for water filtration, the shearing action essential for removal necessitates robust materials to maintain operational integrity over extended periods. As of early 2025, (CFD) validation for the Coandă effect in compressible regimes remains a critical gap, with current models struggling to accurately predict attachment and separation under high-speed conditions, thereby hindering failure anticipation in designs. Recent non-intrusive reduced-order models have shown promise in capturing effects, yet discrepancies between simulations and experiments persist, often overestimating attachment angles by up to 10 degrees in Mach 0.5 flows. Enhanced validation through high-fidelity experiments is essential to refine these predictions, particularly for nozzles where compressible instabilities could lead to structural failures. The variability in free deflection further compounds these modeling challenges in dynamic operational settings.

Unintended Effects

The Coandă effect's inherent tendency for jets to attach to nearby curved surfaces can result in problematic flow behaviors when not anticipated in design or operation. In systems, the Coandă effect causes streams to adhere preferentially to the inner walls of , leading to uneven profiles and poor mixing of corrosive agents or , which accelerates localized and at those locations. This unequal flow distribution at curved junctions is a direct consequence of the effect's surface adherence mechanism. The Coandă effect can modify flow patterns near coastal structures through jet deviation toward boundaries, altering hydrodynamics and potentially increasing stresses on marine infrastructure.

References

  1. [1]
    Coanda Effect - an overview | ScienceDirect Topics
    The Coanda effect is defined as the tendency of a fluid to adhere to a wall or curved surface, resulting in unequal flow distribution at junctions, ...
  2. [2]
    [PDF] NATIONAL ADVISORY COMMIITEE FOR AERONAUTICS
    The Coanda effect may be described as the phenomenon by which the proximity of a surface to a jet stream will cause the jet to attach it- self to and follow the ...
  3. [3]
    Device for deflecting a stream of elastic fluid projected into an elastic ...
    A device for controlling the discharge into an elastic fluid atmosphere of an elastic fluid moving with a high velocity.
  4. [4]
    Stability and transition on a Coandă cylinder - AIP Publishing
    Aug 13, 2020 · The Coandă effect is the tendency of a fluid jet to be attracted to a nearby surface. It was documented as early as 1800 by Young1 and studied ...
  5. [5]
    [PDF] analysis of base-heating environment during ground testing of a lunar
    The mechanism of the Coanda effect is explained as the following: When a fluid jet is adjacent to a surface, the fluid jet entrains fluid from the surroundings ...
  6. [6]
    [PDF] Experimental and Computational Examination of the Coandă Effect ...
    This analysis focuses on using CFD to explore the interaction of the flow phenomenon and surface data. Lineloads are then used to show how those surface ...
  7. [7]
    [PDF] Theoretical aerodynamics of upper-surface-blowing jet-wing ...
    Since this effect, commonly referred to as the Coanda effect, can be explained only by viscous-flow theory, its exact prediction is beyond the scope of this ...
  8. [8]
    [PDF] SCIENTIFIC BASIS OF COANDA'S WORK IN 1910 - INCAS BULLETIN
    Henry Coanda had the potential to become a good sculptor or a violin player or maybe a professional military with diplomatic abilities or a cold tech engineer.
  9. [9]
    Theoretical aspects and applications on the Coandă effect
    who named it the Coandă effect. In 1934 Coandă obtained a patent in France for a "Method. and apparatus for deviation of a fluid into another fluid". The.
  10. [10]
    [PDF] Could the Coandă effect be called the Young effect? The ... - arXiv
    Most probably Von Kármán and Coandă were unaware of Chanute's and. Young's references, and Von Kármán generously and righteously named the effect after the ...
  11. [11]
    [PDF] Fluidic Elements based on Coanda Effect - INCAS BULLETIN
    Fluidic elements based on the Coanda effect use the fluid's tendency to adhere to a curved surface. They are used in fluidic logic, such as bistable elements.
  12. [12]
    The instability of liquid surfaces when accelerated in a direction ...
    It is shown that, when two superposed fluids of different densities are accelerated in a direction perpendicular to their interface, this surface is stable ...<|separator|>
  13. [13]
    [PDF] NATIONAL ADVISORY COMMITTEE FOR AERONAUTICS
    The Coanda effect may be described as the phenomenon by which the prox- imity of a surface to a jet stream will cause the jet to attach itself to and follow ...
  14. [14]
    [PDF] N88-17509 - NASA Technical Reports Server
    The Coanda effect is the tendency for a fluid jet to attach itself to an adjacent surface and follow its contour. The jet is pulled onto the surface by the low ...Missing: explanation | Show results with:explanation
  15. [15]
    [PDF] Improving Coanda-Effect Screen Technology - Bureau of Reclamation
    Sep 28, 2017 · Performance of the screens is demonstrated to be dependent on a combination of inertial, gravitational, and surface tension forces that can be ...
  16. [16]
    [PDF] Computational and theoretical study of the Coand˘a effect
    This allows us to apply Bernoulli's equation pi +. 1. 2 ρv2 i = pa +. 1. 2 ρv2 f ,. (3) where pi is the pressure at the initial point and pa is the atmospheric ...
  17. [17]
    The Coanda Effect Unveiled: Compressible and Viscous Flow ...
    Jan 3, 2025 · We show that the Coanda effect results from the interplay of viscosity, compressibility, fluid properties, geometry, and surface asperities.Missing: sources | Show results with:sources
  18. [18]
    [PDF] LES of high-Reynolds-number Coanda flow separating from a ...
    - Separation of turbulent Coanda flow ~ A major difficulty in RANS ~. 2 ... Coanda effect: The tendency of a fluid jet to stay attached to an adjacent ...
  19. [19]
    Effects of Curvature on the Performance of Sweeping Jet ...
    At low jet-to-wall spacing (H/D = 3), the effect of curvature is non-monotonic and not spatially uniform. In the impingement zone (0< S/D < 2), there is a sharp.
  20. [20]
    [PDF] The Coanda Effect with Jet Displacement over Planar ... - DTIC
    Two methods are outlined for determining the attachment distance for these additional planforms. On the concave wall, agreement averaged within 201 of the ...
  21. [21]
    [PDF] On Some Recent Applications of the Coanda Effect
    Aug 19, 2020 · aerodynamic applications of the Coanda principle utilize convergent-divergent nozzles. Unfortunately, most effective thrust-vectoring design con ...
  22. [22]
    [PDF] Wall Jet Boundary Layer Flows Over Smooth and Rough Surfaces
    Apr 21, 2008 · For the wall jet flows over 305 mm long patches of roughness, the displacement and momentum thicknesses were found to vary noticeably with the.
  23. [23]
    Coandă effect in free-surface shallow-water offset jets
    Feb 15, 2025 · The Coandă effect relies on the deviation of a fluid stream, usually a jet, from a straight direction toward a lateral wall.
  24. [24]
    Directional Control of a Jet Using the Coandă Effect - AIP Publishing
    Secondary jet is accelerated over a Coandă surface, causing the appearance of local pressure drop and the pressure gradient. "perpendicular" to the main jet ...
  25. [25]
    Pressure distribution on a flat plate in the context of the ... - Nature
    Jul 25, 2022 · This phenomenon of deflection of the initial jet axis due to the proximity of the baffle is referred to as the Coanda effect. The first written ...
  26. [26]
    (PDF) Experimental and numerical study of an offset jet with different ...
    Aug 7, 2025 · There have been fewer studies on a turbulent offset flow involved jets with small offsets ratio(h/d < 5) (Assoudi, Habli, Saïd, Bournot ...
  27. [27]
    Experimental and numerical POD study of the Coanda effect used to ...
    The two-dimensional flow along an inclined plate may be detached or reattached to the plate by Coanda effect. Experimentally, we explore the influence of ...
  28. [28]
    [PDF] Investigation of Physical Mechanisms for Jet Noise Reduction by ...
    The primary mechanism at low supersonic jet Mach numbers, particularly relevant to LTO conditions, is a diminished Coanda effect with increased porosity. This ...
  29. [29]
    Henri Coanda - Aeronautics - FIU
    Feb 17, 1999 · Henri Coanda's Coanda-1910 was a revolutionary aircraft in many ways. First and foremost, it is now being recognized as the first air-reactive ...
  30. [30]
    “COANDA-1910” - the first jet propulsor for airplane - ResearchGate
    Aug 6, 2025 · This paper contains a presentation of the first jet propulsion airplane in the world made by Henri Coanda and exhibited at the Second International Aeronautic ...Missing: FR | Show results with:FR
  31. [31]
    [PDF] LOW-SPEED WIND-TUNNEL INVESTIGATION OF A SEMISPAN ...
    An investigation of the static longitudinal aerodynamic characteristics of a semispan. STOL jet transport wing-body with an upper-surface blown jet flap for ...
  32. [32]
    [PDF] Blown Flap Noise Prediction - NASA Technical Reports Server
    The jet flow follows the surface of the wing and large-chord flap by means of the Coanda effect. This generates additional lift due to the deflection of the jet ...
  33. [33]
    [PDF] ANALYSIS OF WING SLIPSTREAM FLOW INTERACTION
    One of the most promising methods of reducing take off and landing distances is to use propellers or ducted fans to augment the airflow over the wing at low ...
  34. [34]
    The Application of Trailing Edge Coandă AFC in a Propeller ...
    Jan 3, 2025 · The Application of Trailing Edge Coandă AFC in a Propeller Slipstream ... Abstract: A significant performance difference was observed in a wing ...
  35. [35]
    What is coanda effect and why it is important to HVAC
    Learn what is coanda effect and how it relate to HVAC supply diffusers selection? How to maintain acceptable comfort and air quality within occupied zones.
  36. [36]
    [PDF] ENGINEERING BULLETIN
    Oct 24, 2019 · This Coanda effect, also referred to as the surface or ceiling effect, counteracts the drop of a horizontally projected cool airstream.” The ...Missing: vents | Show results with:vents
  37. [37]
    Heating and ventilation performance investigation of a novel linear ...
    Oct 1, 2023 · The linear slot diffuser has ideal cooling performance for near-window applications, and is used for ventilation by utilizing the coandă ...
  38. [38]
    Heating and ventilation performance investigation of a novel linear ...
    The linear slot diffuser has ideal cooling performance for near-window applications, and is used for ventilation by utilizing the coandă effect in some cases.Missing: savings | Show results with:savings
  39. [39]
  40. [40]
    Duct Dynasty: Understanding the Coanda Effect - ACHR News
    May 12, 2014 · The Coanda Effect occurs when airflow is closely projected to a parallel surface, such as a ceiling or the walls of a duct system.
  41. [41]
    [PDF] Air Distribution Engineering Guide | Price Industries
    The cataloged throw data for most diffusers and grilles is developed with the outlet mounted in or adjacent to a ceiling. The ceiling or. Coanda effect allows ...Missing: savings | Show results with:savings
  42. [42]
    Development of Dry Powder Inhaler Patient Interfaces for Improved ...
    (6). The jet also tends to attach to the walls of the patient interface, due to the Coanda effect, which directs the aerosol towards deposition surfaces ...
  43. [43]
    Development of an Infant Air-Jet Dry Powder Aerosol Delivery ...
    Feb 10, 2025 · Aerosol delivery options for infants are nebulizers, soft mist inhalers ... Coandă effect as seen in previous CFD simulations [55]. FP4 – Co ...
  44. [44]
    Gas, tubes and flow - ScienceDirect.com
    When fluid flows through a constriction in a tube and encounters a bifurcation, the Coanda Effect causes unequal fluid flow through the distal lumens. The fluid ...
  45. [45]
    Bernoulli, Venturi and Coanda - Physics4FRCA
    May 1, 2018 · The Coanda effect is commonly used for 'fluid logic' systems. One example of this is the good old Penlon Nuffield 200 ventilator.
  46. [46]
    Optiflow Infant Clinical Paper Summaries - Fisher & Paykel Healthcare
    DEFINITIONS: Coanda effect A term originating from the field of aeronautical engineering. The Coanda effect is an entrainment effect whereby high-speed ...
  47. [47]
    Newest Technology for Neonates | Respiratory Therapy
    The CPAP generator uses the Coanda effect by having the infant's breathing effort trigger the fluidic flip inside the device.
  48. [48]
    [PDF] Coand˘a and Venturi Effects at the Eighth Wonder of the World
    Nov 30, 2022 · The topography of the Tarata spring and its embankment enabled Venturi and Coandă effects to form during easterly winds. These wind conditions ...
  49. [49]
    Fluidics, the Coanda Effect, and some orographic winds
    The Coanda Effect was a major contribution to fluidic technology first described in the 1930's. It explains the result of a jet passing through a nozzle ...
  50. [50]
    [PDF] Impact of Western Ghats Orography on the Weather and Climate ...
    Jul 5, 2006 · ... Coanda effect since they are deflected southwestward ... Such a recurring feature of rainfall is characteristics of orographic influence.
  51. [51]
    Late-Spring Severe Blizzard Events over Eastern Romania - MDPI
    At large scale, an unstable jet with sharp folding down to the lower troposphere enabling cold advection over the western area and significant moisture- ...
  52. [52]
    Retro F1 tech: The ground effect era - Motorsport.com
    Feb 20, 2017 · Motorsport.com looks back at how changes to the Formula 1 regulations affected the landscape of the sport in the past. Part 1: the 1970 and 1980s.
  53. [53]
    (PDF) A Review of Ground-Effect Diffuser Aerodynamics
    Aug 10, 2025 · Employing a curved diffuser leads to a more substantial reduction of lift forces, averaging around 15%, aligning with the intended purpose of ...
  54. [54]
    Drag reduction technology and devices for road vehicles
    Jul 15, 2024 · ... Coanda effect to eliminate the vehicle's rear wake. The base pressure was found to rise by 50% which equated to a 10% drag reduction. In ...
  55. [55]
    Coanda Effect and Aquaplaning Explained - Nokian WR A4 tyres
    Nov 19, 2016 · The new Nokian WR A4 tyres are using the Coanda effect to prevent aquaplaning.Missing: rain water spray control
  56. [56]
    Ground Effect - Formula 1 Dictionary
    Formula One technology developed at a furious pace in the 1970s and early 1980s, as F1 designers mastered the art of making airflow work to produce downforce.
  57. [57]
  58. [58]
    Negative feedback fluid amplifier - US3024805A - Google Patents
    Bowles and Raymond W. Warren, Serial No. 855,478, filed November '25, 1959, and now abandoned, entitled Multistable Fluid-operated System, and Serial No. 4,830 ...
  59. [59]
    [PDF] Fluidics: Basic Components and Applications - DTIC
    Since Its discovery at Harry Diamond Laboratories In 1959, fluidics has gradually been developed Into a viable technology.
  60. [60]
    [PDF] NASA CONTRIBUTIONS TO FLUIDIC SYSTEMS
    Fluidic systems can be designed to operate with neither moving parts nor electrical components, although many designs incorporate these more conventional parts.
  61. [61]
    coanda effect on the flows through ejectors and channels
    Aug 10, 2025 · Coanda effect consists of the tendency of a jet to adhere to and to flow around nearby solid boundaries.
  62. [62]
  63. [63]
    Experimental study on oscillating feedback micromixer for miscible ...
    Dec 4, 2014 · Experimental study on oscillating feedback micromixer for miscible liquids using the Coanda Effect. Cong Xu,. Corresponding Author. Cong Xu.
  64. [64]
    US3945920A - Coanda effect oil-water separator - Google Patents
    The Coanda effect is a fluid dynamic phenomenon treated in depth by C. Bourque and B. G. Newman in an article entitled "Reattachment of a Two-Dimensional ...
  65. [65]
    New rotating Coanda-type intake for sediment-laden flows
    The purpose of this study is to numerically analyze a newly patented rotating Coanda-type intake system to achieve the highest water capturing efficiency and ...
  66. [66]
    New rotating Coanda-type intake for sediment-laden flows
    Aug 10, 2025 · The purpose of this study is to numerically analyze a newly patented rotating Coanda-type intake system to achieve the highest water capturing ...
  67. [67]
    (PDF) Unmanned Aerial Vehicles Construction by Coandă Effect
    Jan 4, 2021 · This paper discusses such kinds of Unmanned Aerial Vehicles (UAVs), which play a predominant role in the modern day where emphasis on surveillance.Missing: compressibility | Show results with:compressibility<|separator|>
  68. [68]
    AIAA AVIATION FORUM AND ASCEND 2025
    This study examines the aeroacoustic effects of ground proximity on an eVTOL propeller in hover and edgewise flight using a multi-fidelity simulation framework.
  69. [69]
    Advanced Air Mobility, AI Crucial Topics Planned for 2025 AIAA ...
    Jun 4, 2025 · There's talk about hybrid electric being incorporated into some of the newer eVTOL aircraft concepts to try and address the range challenges of ...<|separator|>
  70. [70]
    The Implementation and Evaluation of a Multi-DOFs Coanda-effect ...
    Through changing waterjet deflection angle and thrust vector, the underwater robot can control trajectories and achieve maneuverability at comparative low-speed ...
  71. [71]
    Multi-Axis Water Jet Propulsion Using Coanda-Effect Valves
    Multi-Axis Water Jet Propulsion Using Coanda-Effect Valves ... The CJDs are arranged so to allow for a multi-axis underwater control of an underwater robot.Missing: hull maneuverability 2020-2025
  72. [72]
    A compact underwater vehicle using high-bandwidth coanda-effect ...
    A compact underwater vehicle using high-bandwidth coanda-effect valves for low speed precision maneuvering in cluttered environments.Missing: hull 2020-2025<|separator|>
  73. [73]
    (PDF) Coandă effect in free-surface shallow-water offset jets
    The Coandă effect relies on the deviation of a fluid stream, usually a jet, from a straight direction toward a lateral wall. In the past, it has been ...
  74. [74]
    A Novel Additive Manufacturing Process Metric for Predicting Spatter ...
    It was found that the Coanda effect, a gas flow downward tendency toward the substrate, can have a significant impact on the spatter removal process. With ...
  75. [75]
    Spatter transport in a laser powder-bed fusion build chamber
    Aug 25, 2024 · The adverse effects of spatter particles are well known in laser powder-bed fusion (LPBF) additive manufacturing. To prevent the deposition ...
  76. [76]
    JSME FED:Activity:Enjoy Fluid Experiments Lab.:Drawn in Spoon
    Sep 30, 2016 · Lightly grip the end of a spoon handle, and then cause the spoon to contact the flow of water. · This is due to the Coanda effect. · At this time, ...Missing: demonstrating demo
  77. [77]
    None
    ### Summary of "Back of the Spoon" Experiment for Coandă Effect
  78. [78]
    [PDF] Exploratory Study of the Turning Characteristics of a Coanda ... - DTIC
    The methods of circulation control run the gamut from slotted flaps through boundary layer control to the pure jet-flap. In addition to high-lift applications, ...
  79. [79]
    [PDF] FLOW VISUALIZATION TUNNEL - Aerolab
    The model demonstrates the Coanda Effect when used with blow- ing. The Coanda Effect is used to increase high angle-of-attack performance. The intensity of ...
  80. [80]
    Misunderstanding Flight Part 1: A Century of Flight and Lift ... - MDPI
    The Coanda effect means that through viscous mixing, the air around a jet is pulled along with it. The result is a reduction in static pressure for the ...
  81. [81]
    Why does paper lift up when you blow across it? | Questions
    May 6, 2007 · If you blow air over a curved surface, it tends to stick to that surface; it's called the Coanda Effect. If the surface, in this case the paper, is bending ...
  82. [82]
    Fire fighting fog nozzle - US4653693A - Google Patents
    In general, the water in the stream is bent outwardly by the convex surface on the face of the sleeve due to the Coanda effect in proportion to the distance ...
  83. [83]
    Adaptive Coanda jet control for performance improvement of a ...
    Two inlet Mach numbers including 0.1 and 0.4 are considered to represent incompressible and compressible flow conditions, and different inlet incidence angles ...
  84. [84]
    Experimental investigation of adaptive Coanda jet control for ...
    Aug 7, 2025 · This paper investigates active flow control strategies based on a highly-loaded compressor cascade with Coanda jet flaps to effectively suppress ...
  85. [85]
    Fluid manipulation on the micro‐scale: Basics of fluid behavior in ...
    Oct 4, 2016 · Mass of the liquid at the micro-scale decreases so much that viscosity dominates over inertia resulting in the predictable laminar flow.
  86. [86]
  87. [87]
    [PDF] Water Operation and Maintenance Bulletin - Bureau of Reclamation
    Coanda-effect screens use a unique tilted-wire screen panel. The individual wires are tilted a few degrees downstream (see detail, figure 1) to produce shearing.
  88. [88]
    Surface Tension Effects on Discharge Capacity of Coanda-Effect ...
    Jun 10, 2021 · This study tested small sections of prototype-scale screens at varying slopes, and discharge coefficients were related to Froude and Weber numbers.<|control11|><|separator|>
  89. [89]
    Non-intrusive reduced order models for the accurate prediction of ...
    Jun 30, 2024 · Highlights · A compressible version of the classical Coanda effect was considered. · The role played by compressibility was studied for this case.
  90. [90]
    [PDF] Numerical Investigation of Multiple Protuberance and Coanda Effect ...
    Sep 16, 2025 · They found that increasing the protuberance height causes earlier flow separation, and the static pressure increase is most significant when the ...
  91. [91]
    Numerical and Experimental Characterization of a Coanda-Type ...
    Essentially, the Coanda effect is the tendency of a fluid jet to induce a low-pressure region in its surroundings, leading to the entrainment of nearby fluid.
  92. [92]
    Mechanism study of coupled aerodynamic and thermal effects using ...
    Mar 12, 2019 · ... Coanda effect. The obtained ... H. Liu. , “. Effect of drop size on the impact thermodynamics for supercooled large droplet in aircraft icing.
  93. [93]
    Coanda effect in coastal flows - ResearchGate
    Aug 7, 2025 · Home · Hydrodynamics · Flow Visualization. ArticlePDF Available. Coanda effect in coastal flows. March 2010; Coastal Engineering 57(3):278-289.