Study of Couple Stresses on MHD Poiseuille Flow through Porous Medium in a parallel plate channel
In this paper a mathematical analysis of effect of couple stresses on magneto hydrodynamic (MHD) flow past a parallel plate channel of viscous, incompressible and electrically conducting fluid in the presence of porous medium has been studied. An exact solution of the dimensionless governing equations has been obtained by using method of perturbation technique. The effects on velocity, discharge between the plates and wall shear are studied for different parameters like Hartmann number, Reynolds number, pulsation, time, porosity parameter, pulsation frequency and reported graphically to show the interesting aspect of the solution.
Some simple flows of an Oldroyd-B fluid
Exact solutions for the following five problems of an Oldroyd-B fluid are obtained. (i) Stokes problem (ii) modified Stokes problem (iii) the time-periodic Poiseuille flow due to an oscillating pressure gradient (iv) the non-periodic flows between two boundaries, and (v) symmetric flow with an arbitrary initial velocity. Some interesting flows caused by certain special oscillations are also obtained. The physical interpretation of the results is presented.
Periodic unsteady flows of a non-Newtonian fluid
SummaryExact analytic solutions for the flow of non-Newtonian fluid generated by periodic oscillations of a rigid plate are discussed. Some interesting flows caused by certain special oscillations are also obtained.