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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.

Blasius flow of viscoelastic fluids: a numerical approach

Sadeghy K., Sharifi M.

International Journal of Applied Mechanics and Engineering

2004

Vol. 9, no 2

399-411

The effects of a fluid elasticity on the characteristics of a boundary layer in a Blasius flow are investigated for a second-grade fluid, and also for a Maxwell fluid. Boundary layer approximations are used to simplify the equations of motion which are finally reduced to a single ODE using the concept of similarity solution. For the second-grade fluid, it is found that the number of boundary conditions should be augmented to match the order of the governing equation. A combination of finite difference and shooting methods are used to solve the governing equations. Results are presented for velocity profiles, boundary layer thickness, and skin friction coefficient in terms of the local Deborah number. An overshoot in velocity profiles is predicted for a second-grade fluid but not for a Maxwell fluid. The boundary layer is predicted to become thinner for the second-grade fluid but thicker for the Maxwell fluid, the higher the Deborah number. By an increase in the level of fluid elasticity, a drop in wall skin friction is predicted for the second-order fluid but not for the Maxwell fluid.

Exact solutions to an incompressible second-grade fluid flow equations

Naeem R. K., Zia S. S.

International Journal of Applied Mechanics and Engineering

2003

Vol. 8, no 1

71-85

Employing complex variables and complex functions the exact solutions to equations governing the motion of an incompressible second-grade fluid are determined.

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.