Engineering Transactions, 42, 1-2, pp. 169-180, 1994

Brief Notes: Aligned Magnetic Effects on the Flow Down an Open Inclined Channel with Highly Porous Bed

D.S. Chauhan

P. Vyas

The aligned magnetic effects on a steady, laminar, viscous, incompressible, conducting fluid flow down an open inclined rectangular channel, bounded below by a highly porous bed, have been studied. The Brinkman equation modified for MHD is assumed to govern the flow in the porous bed and a set of modified boundary conditions, taking into account the effective viscosity considerations, have been applied at the fluid-porous medium interface. The expressions for velocity distribution, magnetic strength and flux along the channel are obtained and discussed.

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References

C.S. YIH, Stability of liquid flow down an inclined plane, Phys. Fluids, G, 321, 1963.

SATYAPRAKASH, Liquid flowing down an open inclined channel, Indian J. Pure Appl. Math., 2, 103, 1971.

S. SENGUPTA, Stability of a liquid layer flowing down a permeable boundary, Indian J, Pure Appl. Math., 6, 367, 1975.

P.D. VERMA and H.K. VYAS, Viscous flow down an open inclined channel with naturally permeable bed, Indian J. Pure Appl. Math., 11, 165, 1980.

A.K. SINHA and G.C. CHADDA, Ready laminar viscous flow down and open inclined channel with a bed of varying permeability, Indian J. Pure Appl. Math., 15, 1004, 1984.

J.P. KAURAND R.G. SHARMA, Stratified viscous flow down an open inclined channel with a bed of varying permeability, Proc. Indian Nath. Sci. Acd., 53A, 101, 1987.

K.J. PILLAI, S.V.K. VARMA and M. SYAM BABU, Aligned magnetic effects through varying permeable bed, Proc. Ind. Acad. Sci., 90, 61, 1987.

D.S. CHAUHAN and K.S. SHEKHAWAT, Viscous fluid flowing down a rectangular open inclined channel with permeable bed, Brinkman model, Modelling, Measurement and Control, B, 49, 39, 1993.

K.F. FREED and M. MUTHU KUMAR, Dynamics and hydrodynamics of suspension of translational Brownian particles at finite concentrations, J. Chem. Phys., 69, 2657, 1978.

S. KIM and W.B. RUSSEL, Modelling of porous media by renormalization of the Stokes equation, J. Fluid Mech., 154, 269, 1985.




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