Mixed convection of micropolar fluids along a vertical wavy surface

This paper presents numerical results for the steady-stale mixed convection in micropolar fluids along a vertical wavy surface. The problem has been f ormulated by a simple transposition theorem, and the spline alternating-dir ection implicit method has been applied to solve the governing momentum, an gular momentum and energy equations. The influence of the micropolar parame ters (R and lambda), the amplitude-wave length ratio and the Gr/Re-2 number on the skin-friction coefficient and Nusselt number have been studied. Res ults demonstrate that the skin friction coefficient and local Nusselt numbe r consist of a mixture of two harmonics in micropolar fluids and in Newtoni an fluids. As the vortex viscosity parameter (R) increases, the heat transf er rate decreases but the skin friction increases. In addition, when the sp in gradient viscosity parameter (lambda) increases, the heat transfer rate and the skin friction decreases. However, the heat transfer rate of a micro polar fluid is smaller than a Newtonian fluid, but the skin friction of a m icropolar fluid is larger than a Newtonian fluid under all circumstances.