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A numerical study of vortex shedding from flat plates with square leading and trailing edges

Published online by Cambridge University Press:  26 April 2006

Yuji Ohya ,
Yasuharu Nakamura ,
Shigehira Ozono ,
Hideki Tsuruta  and
Ryuzo Nakayama
Yuji Ohya
Affiliation:
Research Institute for Applied Mechanics, Kyushu University, Kasuga 816, Japan
Yasuharu Nakamura
Affiliation:
Research Institute for Applied Mechanics, Kyushu University, Kasuga 816, Japan
Shigehira Ozono
Affiliation:
Research Institute for Applied Mechanics, Kyushu University, Kasuga 816, Japan
Hideki Tsuruta
Affiliation:
Research Institute for Applied Mechanics, Kyushu University, Kasuga 816, Japan Mitsubishi Heavy Industries Ltd., Nagasaki-Shipyard, Nagasaki 850-91, Japan.
Ryuzo Nakayama
Affiliation:
National Technical College of Kitakyushu, Kitakyushu 803, Japan
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Abstract

This paper describes a numerical study of the flow around flat plates with square leading and trailing edges on the basis of a finite-difference analysis of the two-dimensional Navier—Stokes equations. The chord-to-thickness ratio of a plate, d/h, ranges from 3 to 9 and the value of the Reynolds number based on the plate's thickness is constant and equal to 103. The numerical computation confirms the finding obtained in our previous experiments that vortex shedding from flat plates with square leading and trailing edges is caused by the impinging-shear-layer instability. In particular, the Strouhal number based on the plate's chord increases stepwise with increasing d/h in agreement with the experiment. Numerical analyses also provide some crucial information on the complicated vortical flow occurring near the trailing edge in conjunction with the vortex shedding mechanism. Finally, the mechanism of the impinging-shear-layer instability is discussed in the light of the experimental and numerical findings.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 236 , March 1992 , pp. 445 - 460
Copyright
© 1992 Cambridge University Press

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References

Cherry, N. J., Hillier, R. & Latour, M. E. M. 1984 Unsteady measurements in a separated and reattaching flow. J. Fluid Mech. 144, 13–46.Google Scholar
Harlow, F. H. & Welch, J. E. 1965 Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface. Phys. Fluids 8, 2182–2189.Google Scholar
Kawamura, T. & Kuwahara, K. 1984 Computation of high Reynolds number flow around a circular cylinder with surface roughness. AIAA Paper 84–0340.Google Scholar
Kiya, M. 1987 Structure of flow in leading-edge separation bubbles. In Boundary-Layer Separation (ed. F. T. Smith & S. N. Brown), pp. 57–71. Springer.
Kiya, M. & Sasaki, K. 1983 Structure of a turbulent separation bubble. J. Fluid Mech. 137, 83–113.Google Scholar
Kiya, M. & Sasaki, K. 1985 Structure of large-scale vortices and unsteady reverse flow in the reattaching zone of a turbulent separation bubble. J. Fluid Mech. 154, 463–491.Google Scholar
Nakamura, Y. & Nakashima, M. 1986 Vortex excitation of prisms with elongated rectangular, H and cross-sections. J. Fluid Mech. 163, 149–169.Google Scholar
Nakamura, Y., Ohya, Y. & Tsuruta, H. 1991 Experiments on vortex shedding from flat plates with square leading and trailing edges. J. Fluid Mech. 222, 437–447.Google Scholar
Okajima, A. 1988 Numerical simulation of flow around rectangular cylinders. Intl Colloq. on Bluff Body Aerodynamics and Its Applications. Japan J. Wind Engng 37, 281–290.Google Scholar
Parker, R. & Welsh, M. C. 1983 Effects of sound on flow separation from blunt flat plates. Intl J. Heat Fluid Flow 4, 113–127.Google Scholar
Roos, F. W. & Kegelman, J. T. 1986 Control of coherent structures in reattaching laminar and turbulent shear layers. AIAA J. 24, 1956–1963.Google Scholar
Stokes, A. N. & Welsh, M. C. 1986 Flow-resonant sound interaction in a duct containing a plate, II: Square leading edge. J. Sound Vib. 104, 55–73.Google Scholar
Thames, F. C., Thompson, J. F., Mastin, C. W. & Walker, R. L. 1977 Numerical solutions for viscous and potential flow about arbitrary two-dimensional bodies using body-fitted coordinate systems. J. Comput. Phys. 24, 245–273.Google Scholar
Troutt, T. R., Scheelke, B. & Norman, T. R. 1984 Organized structures in a reattaching separated flow field. J. Fluid Mech. 143, 413–427.Google Scholar