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Calculations of laminar viscous flow over a moving wavy surface

Published online by Cambridge University Press:  20 April 2006

E. A. Caponi ,
B. Fornberg ,
D. D. Knight ,
J. W. McLean ,
P. G. Saffman  and
H. C. Yuen
E. A. Caponi
Affiliation:
Fluid Mechanics Department, TRW Defense and Space Systems Group, Redondo Beach, CA 90278
B. Fornberg
Affiliation:
Fluid Mechanics Department, TRW Defense and Space Systems Group, Redondo Beach, CA 90278 Present address: Applied Math, California Institute of Technology, Pasadena, CA 91125.
D. D. Knight
Affiliation:
Fluid Mechanics Department, TRW Defense and Space Systems Group, Redondo Beach, CA 90278 Present address: Mechanical and Aerospace Engineering, Rutgers University, Piscataway, NJ 08854.
J. W. McLean
Affiliation:
Fluid Mechanics Department, TRW Defense and Space Systems Group, Redondo Beach, CA 90278
P. G. Saffman
Affiliation:
Fluid Mechanics Department, TRW Defense and Space Systems Group, Redondo Beach, CA 90278 Present address: Applied Math, California Institute of Technology, Pasadena, CA 91125.
H. C. Yuen
Affiliation:
Fluid Mechanics Department, TRW Defense and Space Systems Group, Redondo Beach, CA 90278
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Abstract

The steady, laminar, incompressible flow over a periodic wavy surface with a prescribed surface-velocity distribution is found from the solution (via Newton's method) of the two-dimensional Navier–Stokes equations. Validation runs have shown excellent agreement with known analytical (Benjamin 1959) and analytico-numerical (Bordner 1978) solutions for small-amplitude wavy surfaces: For steeper waves, significant changes are observed in the computed surface-pressure distribution (and consequently in the nature of the momentum flux across the interface) when a surface orbital velocity distribution, of the type found in water waves, is included,

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 124 , November 1982 , pp. 347 - 362
Copyright
© 1982 Cambridge University Press

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References

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