Unsteady mixed convection flow on a rotating cone in a rotating fluid. (English) Zbl 1126.76369
Summary: This paper deals with a new self-similar solution of unsteady mixed convection flow on a rotating cone in a rotating fluid due to the combined effects of thermal and mass diffusion. 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 system of ordinary differential equations governing the flow has been solved numerically using an implicit finite difference scheme in combination with the quasi-linearization technique. Both prescribe wall temperature and prescribed heat flux conditions are considered. Numerical results are reported for the skin friction coefficients, Nusselt number and Sherwood number. The effect of various parameters on the velocity, temperature and concentration profiles are also presented here.
MSC:
| 76R05 | Forced convection |
| 76M55 | Dimensional analysis and similarity applied to problems in fluid mechanics |
| 76U05 | General theory of rotating fluids |
| 80A20 | Heat and mass transfer, heat flow (MSC2010) |
| 76R10 | Free convection |
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