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.
Highlights
A days the investigation of the MHD boundary layer behavior of different kind of fluids take a tremendous attraction due to its vast practical usage in industrial processes and engineering applications
The convergence has been obtained at tol ε = 10−5, while the thickness of the boundary layer η∞ is taken between 2 and 15
The temperature profile decreases and concentration profile increases by increasing values of Pr
Summary
A days the investigation of the MHD boundary layer behavior of different kind of fluids take a tremendous attraction due to its vast practical usage in industrial processes and engineering applications. These application includes petroleum industries, geothermal engineering, crystal growth, aerodynamics, nuclear reactors metallurgical processes, liquidating metals space technology, casting and spinning of fibers etc. In order to examine the rheological assents of fluids, the Navier Stokes equations are insufficient alone. The description of non-Newtonian fluids does not exist in single constitutive relationship between stress and strain. Few examples of non-Newtonian fluids are drilling mud, plastic
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