DECELERATION OF A POROUS ROTATING DISK IN A VISCOUS FLUID

Watson, Layne T. and Sankara, Kishore Kumar and Mounfield, Luegina (1983) DECELERATION OF A POROUS ROTATING DISK IN A VISCOUS FLUID. Technical Report CS83029-R, Computer Science, Virginia Tech.

Abstract

The flow due to a rotating disk decelerating with an angular velocity inversely proportional to time with either surface suction (or injection) which again varies with time is investigated. The unsteady Navier-Stokes equations are transformed to non-linear ordinary differential equations using similarity transformations. The resulting equations are solved numerically using a globally convergent homotopy method. The flow depends on two non-dimensional parameters, namely an unsteadiness parameter S and a suction (or injection) parameter A. Some interesting numerical results are presented graphically and discussed.