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Magneto-hydro-dynamic unsteady second-grade fluid flow for Stokes' problem

Mohyuddin M. R., Ali Mirza A., Siddiqui A. M.

International Journal of Applied Mechanics and Engineering

2007

Vol. 12, no 4

1061-1072

The present note discusses the flow of an unsteady second-grade fluid oscillating on a plate. The magnetic field is applied perpendicular to the flow field in two cases (i) when it is fixed to the fluid, and (ii) when it is fixed to the boundary. The applied magnetic field is found to slow down the flow for the case when it is fixed to the fluid whereas this effect is reversed in the case when it is fixed to the plate. The physical interpretation of the physical parameters is presented graphically and is compared with the already known results.

Some more inverse solutions for steady flows of a second-grade fluid

Siddiqui A. M., Mohyuddin M. R., Hayat T., Asghar S.

Archives of Mechanics

2003

Vol. 55, nr 4

373-387

Inverse solutions of the equations of motion of an incompressible second-grade fluid are obtained by assuming certain forms of the stream function. Expressions for streamlines, velocity components and pressure distributions are given in each case and compared with the known results.