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1 International Journal of Applied Mechanics and Engineering

1 2011

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Mixed convection flow of micropolar fluid in a vertical channel with symmetric and asymmetric wall heating conditions

Umavathi J. C., Prathap Kumar J.

International Journal of Applied Mechanics and Engineering

2011

Vol. 16, no 1

141-159

The theory of micro polar fluids due to Eringen is used to formulate a set of equations for the mixed convective flow and heat transfer in a vertical channel. The two boundaries of the channel are kept either at equal or at different temperatures. Through a proper choice of non-dimensional variables and parameters, the governing equations are developed and three types of thermal boundary conditions are prescribed. These thermal boundaries are isothermal-isothermal, isoflux-isothermal and isothermal-isoflux for the left-right walls of the channel. Exact analytical solutions are obtained for the velocity and temperature fields for heat generation/absorption conditions. It is found that the material and source/sink parameters have significant effects on the flow. A parametric study is conducted and the results are presented and discussed. By making the Newtonian solvent more and more micropolar, it is possible to obtain drag reduction.