Convective wall plume in power-law fluid: Second-order correction for the adiabatic wall

Abstract

This paper considers the steady-state free convection flow arising from an infinitely long horizontal line source of heat embedded in the base of a vertical adiabatic surface when the ambient fluid is a non-Newtonian fluid for moderately large values of the generalized Grashof numbers by the method of matched asymptotic expansions. In particular, the second-order corrections to account for the non-boundary layer effects have been predicted. A family of numerical solutions for the power-law fluid behavior indexn ranging from 0.4 to 2.0 and for the Prandtl numberPr=10 and 100 are reported.