Numerical investigation of generalized Fourier's and Fick's laws for Sisko fluid flow

Abstract

The principal emphasis of this article is to investigate the characteristics of Cattaneo-Christov heat and mass flux models on steady 2D flow of Sisko fluid over a nonlinear stretching surface. The Cattaneo-Christov heat and mass flux models are the generalization of classical Fourier's and Fick's laws through thermal and concentration relaxation times, respectively. The heat transfer analysis is carried out in the presence of temperature dependent thermal conductivity. The nonlinear ordinary differential equations are first established through the transformation procedure which are then solved numerically by using the bvp4c function in MatLab. The influences of involved parameters on the temperature and concentration distributions are deliberated and physical characteristics of these parameters are examined through graphs and discussed in detail. Results reveal that the temperature and concentration profiles have converse relationship with the nondimensional thermal and concentration relaxation time parameters. Moreover, it is also fascinating to observe that the concentration profile is significantly affected by the power-law index when it escalates from n<1 to n>1