Boundary Effects in Wake Flow

C. Y. Liu

doi:10.1115/1.3601253

Boundary Effects in Wake Flow

Journal of Applied Mechanics ◽

10.1115/1.3601253 ◽

1968 ◽

Vol 35 (3) ◽

pp. 571-578

Author(s):

C. Y. Liu

Keyword(s):

Experimental Data ◽

Flat Plate ◽

Analytical Solutions ◽

Angle Of Attack ◽

Finite Depth ◽

Wake Flow ◽

Boundary Effects ◽

Arbitrary Angle ◽

Linearized Theory

Analytical solutions are obtained for the problem of boundary effects on the fully developed wake (or cavity) behind an inclined flat plate at an arbitrary angle of attack. The investigation is based on the Helmholtz free-streamline theory. Results are applied to four cases: (a) Blockage in a fixed-wall tunnel, (b) planing on a stream of finite depth, (c) planing toward a waterfall, and (d) flow over a flat plate in a bounded jet. Comparisons with linearized theory and available experimental data are made.

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Flow Over an Inclined Plate

Journal of Basic Engineering ◽

10.1115/1.3657331 ◽

1962 ◽

Vol 84 (3) ◽

pp. 380-388 ◽

Cited By ~ 45

Author(s):

F. H. Abernathy

Keyword(s):

Flow Field ◽

Flat Plate ◽

Strouhal Number ◽

Angle Of Attack ◽

Separation Distance ◽

Lateral Flow ◽

Vortex Street ◽

Arbitrary Angle ◽

Inclined Plate ◽

Free Vortex

A free-streamline theory for an inclined flat plate in an infinite flow field, at an arbitrary angle of attack, is presented. Measurements of the location of the free-vortex layers, of the vortex-street frequency, and of the pressure behind an inclined sharp-edge plate are reported as a function of both the angle of attack of the plate and the lateral constriction of the flow. The separation between free-vortex layers is found experimentally to be essentially independent of lateral flow constriction. A form of the Strouhal number, using this separation distance as the characteristic flow dimension, is shown to be independent of lateral constriction of the flow and of the inclination of the plate.

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Evaluation of Pressure Distribution on a Cavitating Hydrofoil With Flap

Journal of Ship Research ◽

10.5957/jsr.1967.11.2.93 ◽

1967 ◽

Vol 11 (02) ◽

pp. 93-108

Author(s):

Z. L. Harrison ◽

Duen-pao Wang

Keyword(s):

Experimental Data ◽

Flow Field ◽

Pressure Distribution ◽

Flat Plate ◽

Flow Model ◽

Wake Flow ◽

Two Dimensional ◽

The Moment ◽

Cavitating Hydrofoil ◽

General Method

A general method is established to calculate the pressure distribution and the moment of force for a two-dimensional, supercavitating hydrofoil with a flap. The wake flow model is adopted to describe the configuration of the flow field. Some numerical results for a supercavitating flat plate with a flap are compared with the corresponding experimental data.

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LINEARIZED THEORY OF A TWO-DIMENSIONAL PLANING FLAT PLATE IN A CHANNEL OF FINITE DEPTH-1

10.21236/ad0602201 ◽

1964 ◽

Author(s):

D. K. Ai ◽

A. J. Acosta ◽

Z. L. Harrison

Keyword(s):

Flat Plate ◽

Finite Depth ◽

Two Dimensional ◽

Linearized Theory

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Three-Dimensional Effects of the Flow Normal to a Flat Plate at a High Reynolds Number

Volume 5: Ocean Engineering; CFD and VIV ◽

10.1115/omae2012-83730 ◽

2012 ◽

Cited By ~ 1

Author(s):

Xinliang Tian ◽

Muk Chen Ong ◽

Jianmin Yang ◽

Dag Myrhaug ◽

Gang Chen

Keyword(s):

Experimental Data ◽

Reynolds Number ◽

Flat Plate ◽

High Reynolds Number ◽

Plate Thickness ◽

Three Dimensional ◽

Wake Flow ◽

Plate Height ◽

3D Effects ◽

High Reynolds

Plate components are often found in offshore and marine structures, such as heave damping plates in spar platform and bilge keels in ships. Two-dimensional (2D) and three-dimensional (3D) numerical simulations are performed to investigate the 3D effects of the flow normal to a flat plate at a high Reynolds number (Re = 1:5×105, based on the height of the plate and the free stream velocity). The ratio of the plate thickness to the plate height is 0.02. The 2D simulations are carried out by solving the Unsteady Reynolds-Averaged Navier-Stokes (URANS) equations with the k-ω Shear Stress Transport (SST) turbulence model, while the 3D simulations are carried out with the large-eddy simulation (LES) method. The hydrodynamic results (such as time-averaged drag coefficient, Strouhal number and mean recirculation length) are compared with the published experimental data. The near-wake flow structures are also discussed. The 3D simulation results are in good agreement with the published experimental data; however, the 2D simulations show a poor comparison with the experimental data. This shows that the 3D effects are important for the high Reynolds number flow normal to a flat plate.

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Lift and Pressure Fluctuations of a Cambered Airfoil Under Periodic Gusts and Applications in Turbomachinery

Journal of Engineering for Power ◽

10.1115/1.3445690 ◽

1973 ◽

Vol 95 (1) ◽

pp. 1-10 ◽

Cited By ~ 19

Author(s):

H. Naumann ◽

H. Yeh

Keyword(s):

Flat Plate ◽

Closed Form ◽

Analytical Solutions ◽

Pressure Fluctuations ◽

Angle Of Attack ◽

Axial Flow ◽

Interference Effects ◽

Unsteady Lift

Previous authors have considered the unsteady lift of a flat-plate (zero-cambered) airfoil travelling through sinusoidal gusts. The present paper extends the analysis to cambered airfoils with angle of attack moving through both longitudinal and transverse gusts. Closed-form analytical solutions are obtained. The results are used to calculate the unsteady lift on a blade moving through periodic wakes in an axial-flow turbomachine. Knowledge gained by this analysis clearly indicates design trends to obtain minimum lift fluctuations. Since the interference effects of neighboring blades are ignored in this analysis, the conclusions on turbomachinery are strictly valid only for cascades with low solidity.

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