Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2024-12-26T08:57:47.306Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Banner, M. L. & Phillips, O. M. 1974 On the incipient breaking of small scale waves. J. Fluid Mech. 65, 647–656.Google Scholar
Benjamin, T. B. 1959 Shearing flow over a wavy boundary. J. Fluid Mech. 6, 161–205.Google Scholar
Benney, D. J. & Bergeron, R. F. 1968 A new class of nonlinear waves in parallel flows. Stud. Appl. Math 48, 181–204.Google Scholar
Bordner, G. L. 1978 Nonlinear analysis of laminar boundary layer flow over a periodic wavy surface. Phys. Fluids 21, 1471–1474.Google Scholar
Caponi, E. A. 1979 Laminar air flow over prescribed water waves. TRW Tech. Rep. no. 9994–6447-RU-00.Google Scholar
Miles, J. W. 1957 On the generation of surface waves by shear flows. J. Fluid Mech. 3, 185–204.Google Scholar
Wu, J. 1975 Wind-induced drift currents. J. Fluid Mech. 68, 49–70.Google Scholar