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1 International Journal of Applied Mechanics and Engineering

1 2004

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Numerical study of viscous flow through a locally expanded-channel

Pramanik S., Layek G. C., Mahapatra T. R., Mazumdar H. P.

International Journal of Applied Mechanics and Engineering

2004

Vol. 9, no 3

557-571

The numerical solution to the problem of viscous incompressible flow of a Newtonian fluid in a locally expanded channel has been obtained for low and moderate high Reynolds numbers under laminar conditions. The well-known finite difference scheme in a staggered grid due to Harlow and Welch (1965) is used to discretize the equations of fluid flow. The present algorithm is of two-stages. In the first stage, Poisson equation for pressure has been solved iteratively and then pressure velocity corrections are made in the second stage. The flow characteristics such as the wall shear stress, velocity distribution and pressure distribution are then calculated. The results are presented graphically and discussed.