Numerical Study for the Effects of Temperature Dependent Viscosity Flow of Non-Newtonian Fluid with Double Stratification

Abstract

The main aim of the current study is to determine the effects of the temperature dependent viscosity and thermal conductivity on magnetohydrodynamics (MHD) flow of a non-Newtonian fluid over a nonlinear stretching sheet. The viscosity of the fluid depends on stratifications. Moreover, Powell–Eyring fluid is electrically conducted subject to a non-uniform applied magnetic field. Assume a small magnetic reynolds number and boundary layer approximation are applied in the mathematical formulation. Zero nano-particles mass flux condition to the sheet is considered. The governing model is transformed into the system of nonlinear Ordinary Differential Equation (ODE) system by using suitable transformations so-called similarity transformation. In order to calculate the solution of the problem, we use the higher order convergence method, so-called shooting method followed by Runge-Kutta Fehlberg (RK45) method. The impacts of different physical parameters on velocity, temperature and concentration profiles are analyzed and discussed. The parameters of engineering interest, i.e., skin fraction, Nusselt and Sherwood numbers are studied numerically as well. We concluded that the velocity profile decreases by increasing the values of S t , H and M. Also, we have analyzed the variation of temperature and concentration profiles for different physical parameters.

Significance of heat source/sink on the radiative flow of Cross nanofluid across an exponentially stretching surface towards a stagnation point with chemical reaction

“…Waqas 4 reported the flow, heat transfer characteristics of the ferromagnetic stretching flow of Williamson fluid subject to homogeneous and heterogeneous chemical reactions. A numerical investigation is made to study the influence of nonuniform viscosity and double stratification on the motion of Powell-Eyring fluid over nonlinear stretchable sheet by Wahab et al 5 Xiong et al 6 discussed and reported on the multiple solutions of a Cross nanofluid via a thin vertical needlepoint under influence of Darcy-Forchheimer. Across stretching surface, the heat transfer characteristics for an MHD stagnation point flow of Cross fluid are reported on by Ijaz Khan et al 7 Consideration of bioconvective flow of MHD Cross nanofluid along with gyrotactic microorganisms and activation energy is another report by Shi et al 8 Muhammad et al 9 investigated the numerical results for a bioconvective flow of Cross nanofluid with swimming microorganisms across a cylinder under thermal conductivity and melting process.…”

Effects of heat and mass transfer on MHD nonlinear free convection non‐Newtonian fluids flow embedded in a thermally stratified porous medium

“…They concluded in their study that the Casson fluid model shows a good heat transport analysis compared to the Newtonian model. Wahab et al 14 elucidate the impact of viscosity, which depends on temperature, on non-Newtonian fluid flow together with double stratification. Their flow equations were solved numerically and a decrease in velocity profile is observed with large stratification parameter.…”

Heat and mass transfer effects on MHD mixed convection flow of viscoelastic fluid with constant viscosity and thermal conductivity

“…They found out that a large Prandtl number brings a degeneration to thermal boundary layer thickness. Wahab Hafiz et al 16 have done an examination on the influence of viscosity which is a function of temperature as non-Newtonian liquid motion with double stratification numerically. Venkateswarlu and Satya Narayana 4 elucidated the impact of varying thermal conductivity on the Casson fluid motion of MHD using the shooting method.…”