Heat Transfer Analysis for Couple Stress Fluid over a Nonlinearly Stretching Sheet

Abstract

An investigation has presented to analyze the heat transfer in a boundary layer flow of an incompress- ible couple stress fluid over a nonlinear stretching sheet. The heat transfer problem have been analyzed for the two heating processes, 1) PST (prescribed surface temperature case) and 2) PHF (prescribed heat flux case). The govern- ing partial differential equations for flow and heat transfer are transformed to ordinary differential equations. The nu- merical solutions have been obtained by using fourth order Runge-Kutta method coupled with shooting method. The effects of dimensionless surface temperature, couple stress parameter , Prandtl number Pr , Eckert number Ec, non- linear stretching sheet parameter n and 1; 2 have been observed by graphical illsurations. Chen (8) described the effects of viscous dissipation on heat transfer in a non-Newtonian liquid film over an unsteady stretching sheet. Alinejad (9) investigate the flow and heat transfer characteristics of viscous flow over a nonlinearly stretching sheet with the presence of viscous dissipation, Khan et al. (10) presented an analysis of the axisymmet- ric flow of a non-Newtonian fluid over a radially stretch- ing sheet, Mehmood et al. (11) investigates the theoretical study of steady stagnation point flow with heat transfer of a second grade nano fluid towards a stretching surface, Khan et al. (12) gives an analytical study for the effects of slip factors on unsteady stagnation point flow and heat transfer towards a stretching sheet. Asghar (13) reveals all possible similarity transformations for the flow of power-law fluid over a stretching surface by a Lie group analysis. The rota- tion of the fluid particles and its effect has studied under the theory of couple stresses which describes the rotation field in specification of the velocity field. The examples of cou- ple stress fluids include blood, rheologically complex flu- ids, lubricant oil with long chain additives, polymeric sus- pensions, etc. Stokes (14) considered the effects of couple stresses in fluids. Soundalgekar (15) carried out an analysis for the dispersion of a solute in a channel flow of fluid with