STEADY FULLY DEVELOPED MIXED CONVECTION FLOW IN A VERTICAL ANNULAR MICROCHANNEL: AN EXACT SOLUTION

This paper reports an analytical study of steady fully developed mixed convection flow of viscous and incompressible fluid in a vertical annular micro-channel taking into account the velocity slip and temperature jump at the outer surface of inner cylinder and inner surface of outer cylinder. A parametric study of the physical parameters is conducted and a representative set of numerical results for the velocity, temperature, bulk temperature and skin friction are illustrated graphically to show interesting features of the mixed convection, rarefaction, fluid wall interaction, and radius ratio parameters. During the course of investigation, it is found that, probability of reverse flow formation increases at inner surface of outer cylinder of the annular micro-channel as curvature radius ratio increases while it decreases with increases of Knudsen number and fluid - wall interaction parameter.