The onset of modified Fourier and Fick’s theories in temperature-dependent conductivity flow of micropolar liquid

Abstract

Nonlinear convective stagnation point flow of micropolar liquid is modeled. Stretching surface has variable thickness. Energy and concentration are modeled with modified Fourier and Fick’s relations. Temperature-dependent thermal conductivity is considered. Transformations are utilized in obtaining ordinary differential systems. Homotopy series solutions comprising exponentially declining functions are established. Salient features of various parameters for velocity, temperature and skin friction coefficient are addressed through graphs. It is found that both velocities are increasing function of material parameter. Moreover thermal and solutal relaxation time factors have effective contributions in adjusting the chilling process of the stretchable surface which is important in several industrial applications. Keywords: Modified Fourier and Fick’s theories, Temperature-dependent conductivity, Stagnation point flow, Variable thickness, Micropolar liquid