Search

The influence of magnetic field and slip velocity at the membrane surface on ultra filtration process is studied for a couple stress fluid. The perturbation technique is employed to obtain the velocity profile. The concentration polarization is deduced numerically for a gel polarization model using an implicit finite difference technique. It is observed that the combined effect of slip velocity and magnetic field for a couple stress field is to reduce the polarization and thereby increase the flux rate through the membrane compared to that of viscous fluid. The results obtained may be useful in the transplantation of the artificial kidney. [ABSTRACT FROM AUTHOR]

In this paper, we discussed the theoretical and computational study of peristaltic hemodynamic flow of couple stress fluids through a porous medium under the influence of magnetic field with wall slip condition. Actually this study is motivated towards the physiological flow of the blood in the micro circulatory system by taking account of the particle size effect. We consider the Reynolds number is small enough and the wave length to diameter ratio is large enough to negate inertial effects. The governing equations for the couple stress fluid flow through porous medium based on stoke constitutive equations and Brinkman model. The exact solutions for axial velocity, pressure gradient, frictional force, stream function and mechanical efficiency are obtained analytically, its behaviour computationally discussed with reference to different physical parameters reflecting couple stress parameter, Hartmann number, permeability parameter, slip parameter as well as amplitude ratio on pumping characteristics and frictional force, stream lines pattern and trapping of peristaltic flow pattern are studied with particular emphasis making use of graphs. [ABSTRACT FROM AUTHOR]

Under certain external unforeseen disturbances the rotor-bearings system exhibits self excited oscillating behaviours. The instability occurs when the speed exceeds a certain onset, appearing as self excited orbital motions induced by the fluid film dynamic forces. In this paper an approximate closed form solution for the Reynolds' equation for the particular case of the partial arc journal bearings in unsteady operating conditions is proposed. The analysis considers the case of incompressible coupled stress fluid under the classical hypothesis [ABSTRACT FROM AUTHOR]