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Three-dimensional calculations of the simple shear flow around a single particle between two moving walls

Published online by Cambridge University Press:  26 April 2006

H. Nirschl
Affiliation:
Technische Universität München, Lehrstuhl für Fluidmechanik und Prozeßautomation, 85350 Freising, Germany
H. A. Dwyer
Affiliation:
University of California, Davis, Mechanical and Aerospace Engineering, Davis, CA 95616, USA
V. Denk
Affiliation:
Technische Universität München, Lehrstuhl für Fluidmechanik und Prozeßautomation, 85350 Freising, Germany

Abstract

Three-dimensional solutions have been obtained for the steady simple shear flow over a spherical particle in the intermediate Reynolds number range 0.1 [les ] Re [les ] 100. The shear flow was generated by two walls which move at the same speed but in opposite directions, and the particle was located in the middle of the gap between the walls. The particle-wall interaction is treated by introducing a fully three-dimensional Chimera or overset grid scheme. The Chimera grid scheme allows each component of a flow to be accurately and efficiently treated. For low Reynolds numbers and without any wall influence we have verified the solution of Taylor (1932) for the shear around a rigid sphere. With increasing Reynolds numbers the angular velocity for zero moment for the sphere decreases with increasing Reynolds number. The influence of the wall has been quantified with the global particle surface characteristics such as net torque and Nusselt number. A detailed analysis of the influence of the wall distance and Reynolds number on the surface distributions of pressure, shear stress and heat transfer has also been carried out.

Type
Research Article
Copyright
© 1995 Cambridge University Press

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References

Bartok, G. & Mason, S. G. 1958 Particle motions in sheared suspensions. J. Colloid Sci. 13, 293.Google Scholar
Benek, J. A., Steger, J. L., Dougherty, F. C. & Buning, P. G. 1985 Chimera: A grid-embedding technique. AEDC-TR-85-64. NASA Ames Research Center.
Buning, P. G., Chiu, I. T., Obayashi, S., Rizk, Y. M. & Steger, J. L. 1988 Numerical simulation of the integrated space shuttle vehicle in ascent. AIAA Atmospheric Flight Mechanics Conf., Minneapolis, Minnesota, AIAA-88-4359-CP.
Clift, R., Grace, J. R. & Weber, M. E. 1978 Bubbles, Drops and Particles. Academic Press.
Dandy, D. S. & Dwyer, H. A. 1990 A sphere in shear flow at finite Reynolds number: effect of shear on particle lift, drag and heat transfer. J. Fluid Mech. 216, 381.Google Scholar
Dougherty, F. C. 1985 Development of a Chimera grid scheme with applications to unsteady problems PhD Thesis, Stanford University.
Dwyer, H. A. 1989 Calculations of droplet dynamics in high temperature environments. Prog. Energy Combust. Sci. 15, 131.Google Scholar
Nirschl, H., Dwyer, H. A. & Denk, V. 1993 A Chimera grid scheme for the calculation of particle flows. J. Comput. Phys. (submitted).Google Scholar
Rumscheidt, F. D. & Mason, S. G. 1961 Deformation and burst of fluid drops in shear and hyperbolic flow. J. Colloid Sci. 16, 238.Google Scholar
Saffman, P. G. 1965 The lift on a small sphere in a slow shear flow. J. Fluid Mech. 31, 385.Google Scholar
Taylor, G. I. 1932 The viscosity of a fluid containing small drops of another fluid. Proc. R. Soc. Lond. A 138, 41.Google Scholar