Combined forced and free convection in boundary layer flow of a micropolar fluid over a horizontal plate

Abstract

A boundary layer analysis is used to study the effect of buoyancy-induced streamwise pressure gradients on heat transfer and laminar forced convective flow of a micropolar fluid over a horizontal plate. In particular, self-similar solution is given for the case of a wall temperature that is inversely proportional to the square root of the distance from the leading edge. Such a solution does not exist if the buoyancy parameter is smaller than a certain critical value, which is negative (decelerated flow), but not yet small enough to satisfy the separation criterion of vanishing shear stress at the wall. The effects of the buoyancy force and material parameters on the friction factor, total heat transfer, displacement thickness, and wall couple stress as well as the details of the velocity, microrotation and temperature fields are discussed. The micropolar properties of the fluid are found to play an important role in controlling flow separation.Mathematics Subject Classification (1991). 76R10.

Simultaneous development of the hydrodynamic and thermal boundary layers of mixed convective laminar flow through a horizontal tube with a constant heat flux

“…Most of the theoretical analyses of mixed convective flow were conducted before the year 2000 [23][24][25][26][27], and even for tube flows [19,[28][29][30][31]. Looking at the governing equations of laminar mixed convective flow, the equations can be summarised as continuity, momentum and energy with the inclusion of the buoyancy term.…”