Stokes flow past a swarm of porous circular cylinders with Happel and Kuwabara boundary conditions |
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Authors: | Satya Deo |
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Affiliation: | (1) Department of Mathematics, University of Allahabad, 211002 Allahabad, India |
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Abstract: | The problem of creeping flow past a swarm of porous circular cylinders with Happel and Kuwabara boundary conditions is investigated.
The Brinkman equation for the flow inside the porous cylinder and the Stokes equation outside the porous cylinder in their
stream function formulations are used. The force experienced by each porous circular cylinder in a cell is evaluated. Explicit
expressions of stream functions are obtained for both the inside and outside flow fields. The earlier results reported by
Happel and Kuwabara for flow past a solid cylinder in Happel’s and Kuwabara’s cell model, have been deduced. Analytical expressions
for the velocity components, pressure, vorticity and stresstensor are also obtained |
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Keywords: | Particle-in-cell model modified Bessel functions stress vorticity Brinkman equation |
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