Technical Notes
Jul 16, 2012

Fluid Flow between a Nonsinusoidal Wavy Surface and a Plane

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Publication: Journal of Engineering Mechanics
Volume 138, Issue 8

Abstract

This paper presents an analytical solution for a steady two-dimensional planar flow of incompressible, inviscid fluid between a nonsinusoidal periodic wavy surface and a plane surface. Equations and graphs for the surface topography, the streamlines, and the resulting pressure distribution are presented. In addition to its esthetic merits, this solution furnishes a series of progressively more severe benchmark solutions for the verification of Euler solvers.

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References

Ackeret, J. (1928). “Uber Luftkräfte bei sehr grossen Geschwindigkeiten insbesondere bei ebenen Strömunge.” Helv. Phys. Acta, 1, 301–322.HPACAK
Anderson, J. D. Jr. (2003). Modern compressible flow with historical perspective, 3rd Ed., McGraw-Hill, Boston, 328–333.
Gray, D. D., Ogretim, E. O., and Bromhal, G. S. (2009). “Nonlinear fluid flow over a wavy surface.” Proc., West Virginia Acad. Sci., 81, 64–68.
Nishimura, T., Ohori, Y., and Kawamura, Y. (1984). “Flow characteristics in a channel with symmetric wavy wall for steady flow.” J. Chem. Eng. Jpn., 17, 466–471.JCEJAQ
Shapiro, A. H. (1953). The dynamics and thermodynamics of compressible fluid flow, Vol. I. Ronald Press, New York, 310–315 and 333.

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Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 138Issue 8August 2012
Pages: 1042 - 1044

History

Received: Jul 28, 2011
Accepted: Jan 5, 2012
Published online: Jul 16, 2012
Published in print: Aug 1, 2012

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Authors

Affiliations

Donald D. Gray, M.ASCE [email protected]
P.E.
Professor, Dept. of Civil and Environmental Engineering, West Virginia Univ., Morgantown, WV 26506-6103. E-mail: [email protected]

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