Approximate Analytic solutions for mixed and forced convection heat transfer from an unsteady no-uniform flow past a rotating cylinder

Presented in this paper is an analytic approximation to the thermal-fluid problem involving mixed and forced convective heat transfer from a rotating isothermal cylinder placed in a non-uniform stream shear-flow. The approximation is obtained using a series expansion of the scaled boundary layer equations in terms of a boundary layer variable which is directly proportional to the time variable and inversely proportional to the Reynolds number. Therefore, the resulting approximation is valid both for small time and for moderate and large times for which the Reynolds number of the flow is sufficiently large. Key–Words: shear-flow, mixed and forced convection, rotating cylinder, boundary layer, viscous flow, laminar.