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Numerical study of viscous flow through a locally expanded-channel

100%

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

tom 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.

Numerical solutions of a steady 2-D incompressible flow in a rectangular domain with wall slip boundary conditions using the finite volume method

67%

Ambethkar V. , Srivastava M. K.

2017

tom Vol. 16, nr 2

5--16

In this study, a finite volume method (FVM) is suitably used for solving the problem of a fully coupled fluid flow in a rectangular domain with slip boundary conditions. Numerical solutions for the flow variables, viz. velocity, and pressure have been computed. The FVM, with an upwind scheme, has been implemented to discretize the governing equations of the present problem. The well known SIMPLE algorithm is employed for pressure-velocity coupling. This was executed with the aid of a computer program developed and run in a C-compiler. Computations have been performed for unknown variables with Reynolds numbers (Re) = 50, 100, 250, 500, 750 and 1000. The behavior of steady-state solutions of velocity and pressure of the fluid along horizontal and vertical through geometric center of the rectangular domain have been illustrated. We observed that, with the increase of the Reynolds number, the absolute value of velocity components decreases whereas the pressure value increases.