Self-similar Solution of Unsteady Mixed Convection Flow on a Rotating Cone in a Rotating Fluid

Abstract

This paper deals with a new self-similar solution of unsteady mixed convection flow in the stagnation point region of a rotating cone in a rotating fluid. The fluid and the body rotate either in the same direction or in the opposite direction. It has been shown that a self-similar solution is possible when the free stream angular velocity and the angular velocity of the cone vary inversely as a linear functions of time. The non-linear coupled PDEs governing the flow have been reduced to a set of coupled non-linear ordinary differential equations using a suitable similarity transformations mentioned above. Finally the set of non-linear coupled ODEs been solved numerically using an implicit finite difference scheme in combination with the quasi-linearization technique. Numerical results are obtained for the skin friction coefficients and Nusselt numbers. The effect of various parameters on the velocity and temperature profiles are also obtained.