Showing papers by "R. Usha published in 1993"
TL;DR: In this paper, the non-axisymmetric problem of flow due to a stokeslet of strength F/8πη located at (0, 0, c), c < a with its axis along OX, O being the centre of the sphere, is discussed for small Reynolds numbers.
7 citations
TL;DR: The slow steady two-dimensional motion of a viscous incompressible fluid in the unbounded region exterior to a shear free circular cylinder which is impermeable is examined in this article.
Abstract: The slow steady two-dimensional motion of a viscous incompressible fluid in the unbounded region exterior to a shear free circular cylinder which is impermeable is examined. It is shown that the above problem requires a certain consistency condition for the existence of a solution. In addition, a circle theorem for the biharmonic equation is presented, for the above plane Stokes flow. Some examples are also given.
6 citations
TL;DR: In this paper, a similarity solution is obtained for a flow between two rotating parallel disks which, at time t * are spaced a distance H (1 − αt*) 1/2 apart and a magnetic field proportional to B 0 (1− αt *−1/2 ) is applied perpendicular to the disks, and a numerical solution to the resulting nonlinear ordinary differential equations is presented.
Abstract: A similarity solution is obtained for a flow between two rotating parallel disks which, at time t * are spaced a distance H (1 − αt *)1/2 apart and a magnetic field proportional to B0 (1 − αt *)−1/2 is applied perpendicular to the disks. Approximate analytic solutions are given and a numerical solution to the resulting nonlinear ordinary differential equations is presented. The effects of magnetic forces on the velocity profiles, the normal forces and the torques which the fluid exerts on the disks are studied. It is observed that by increasing the magnetic force a considerable increase in the load can be achieved. Also, the torques are more sensitive to changes in the squeeze Reynolds number than to changes in the rotation Reynolds number.
3 citations