Analysis of two dimensional Carreau fluid flow due to normal surface condition: A generalized​ Fourier’s and Fick’s laws

Abstract

In this work, we address the thermal and concentration diffusions of magneto-hydrodynamic Carreau fluid flow induced due to a stretching cylinder along with chemical reaction and zero normal flux condition. The energy and concentration expressions are combined with new theories of heat and mass diffusions (Cattaneo–Christov), which is improve form of Fourier’s and Fick’s laws. The additional terms of thermal and concentration relaxation times are added in Cattaneo–Christov double diffusions. Similarity methodology is employed to moderate the governing PDEs (partial differential equations) into the nonlinear ODEs (ordinary differential equations) which are solved using RK-4 based shooting technique. The remarkable results for velocity, concentration, temperature distributions are established by graphs. Plots and tables presenting influence of friction factor, local heat and mass transfer rate are also examined. It is seen that the temperature distribution increases by enhancing thermophoresis parameter, while reduces with increase values of Prandtl number, Brownian motion and curvature parameter. Moreover, the velocity profile increases with increase values of curvature parameter, Weissenberg number and power law index. The computational results are also compared with current data for limiting cases and good agreement is found.