Application of improved Fourier’s and Fick’s laws in a non-Newtonian fluid with temperature-dependent thermal conductivity

Abstract

An analysis is presented to report the notable features of non-Fourier’s double diffusion model in stretchable flow of modified Burgers liquid. The flow phenomenon is due to impermeable stretched sheet. The energy and mass expressions are modeled utilizing concept of non-Fourier’s double diffusion. Heat transfer mechanism is characterized within the frame of variable thermal conductivity. Relevant variables reduced the non-linear partial differential expressions into the ordinary differential expressions. Series solutions of established systems are obtained within the frame of homotopy concept. Convergence is attained and acceptable values are certified by expressing the so-called \(\hbar\) curves. Temperature and concentration are further disclosed and argued for several variables through graphs. Higher values of thermal/concentration relaxation time lead to decay in temperature and concentration.