Investigation of magnetohydrodynamic slip flow for Maxwell nanofluid over a vertical surface with Cattaneo-Christov heat flux in a saturated porous medium

Abstract

Recently, there has been considerable attention given to a sophisticated fluid system known as the Maxwell nanofluid, which incorporates chemical reactions and the Cattaneo-Christov heat flux. This system has garnered significant interest due to its potential significance in various fields, including heat transfer, chemical engineering, and nanotechnology. Therefore, this numerical investigation proposes a new model for the steady two-dimensional flow of a homogeneous Maxwell nanofluid towards a vertical stretching sheet that incorporated within a porous medium, aimed at revealing the fluid's dynamic and thermal characteristics. The model is specifically tailored for nanofluids and includes thermal radiation, chemical reactions and slip conditions. It is presumed that the viscosity of the Maxwell nanofluid changes with variations in temperature. The governing partial differential equations and corresponding boundary conditions for the nanofluid flow problem are derived in a suitable manner, based on physically valid assumptions and validated experimental correlations. MATHEMATICA software is used to perform arithmetic simulations of the energy, mass concentration, and momentum equations. The simulations are carried out using the fourth-order Runge-Kutta technique in conjunction with the shooting method. Numerical and visual techniques are utilized to examine how the physical parameters that control the model influence it. Subsequent to evaluating our data against prior findings, the reliability and precision of the proposed method are verified. The findings show that the nanofluid's velocity detracts when the slip velocity, Maxwell parameter, magnetic forces, viscosity parameter, and porous parameter rise. The temperature field, which is affected by these parameters, shows the opposite tendency, on the other hand. In addition, the suction parameter application results in a drop in the concentration, temperature, and velocity of the nanofluid.