Non-Fourier's and Fick's laws applications in the flow of temperature dependent thermal conductivity generalized Newtonian liquids: A 3D computational study

Abstract

KEYWORDS 3D Sisko liquid;Generalized heat ux and mass di usion relations; Temperaturedependent thermal conductivity.Abstract. The current article presents a numerical study for local solutions of Sisko liquid ow by a bidirectional stretched surface. In addition, the analysis of relaxation times for the heat and mass transfer mechanisms is conducted by utilizing modi ed heat ux and mass di usion models. These improved relations are the generalized form of Fourier and Fick's laws in which the time-space upper-convected derivative is employed to portray the heat conduction and mass di usion mechanisms. Appropriate transformations lead to a strongly nonlinear di erential system of equations that are then solved numerically by employing the applications of bvp4c package in Matlab software. Another numerical method, namely shooting technique, with RK45 Fehlberg and Newton-Raphson method is utilized to authenticate the results. Graphical illustrations demonstrating the impacts of sundry physical parameters with required discussion highlighting their physical e ects are also a part of this exploration. It is perceived that the temperature and concentration of Sisko liquid are the diminishing functions of relaxation times for the heat and mass transfer mechanisms. It is also fascinating to note that the temperature and concentration of Sisko liquid are higher in the classical form than that in the improved constitutive relation.