Abstract
In the present investigation we analyze the impact of magnetic field on the stagnation-point flow of a generalized Newtonian Carreau fluid. The convective surface boundary conditions are considered to investigate the thermal boundary layer. The leading partial differential equations of the current problem are altered to a set of ordinary differential equations by picking local similarity transformations. The developed non-linear ordinary differential equations are then numerically integrated via Runge-Kutta Fehlberg method after changing into initial value problems. This investigation explores that the momentum and thermal boundary layers are significantly influenced by various pertinent parameters like the Hartmann number M, velocity shear ratio parameter α, Weissenberg number We, power law index n, Biot number γ and Prandtl number Pr. The analysis further reveals that the fluid velocity as well as the skin friction is raised by the velocity shear ratio parameter. Moreover, strong values of the Hartmann number correspond to thinning of the momentum boundary layer thickness while quite the opposite is true for the thermal boundary layer thickness. Additionally, it is seen that the numerical computations are in splendid consent with previously reported studies.
Highlights
It is renowned fact that the magnetohydrodynamic (MHD), which is the science of motion of electrically conducting fluids, is one of the thrust areas of modern research
To determine the accuracy in favor of present numerical results, a comparison of obtained results for the skin friction and local Nusselt number are presented in Tables 1 and 2 for particular values of the velocity shear ratio parameter α when M = 0, n = 1 and We = 0
The governing partial differential equations of motion were reduced to a system of ordinary differential equations with the aid of local similarity variables
Summary
It is renowned fact that the magnetohydrodynamic (MHD), which is the science of motion of electrically conducting fluids, is one of the thrust areas of modern research. The basic theme of MHD is that if we place an electrically conducting fluid in magnetic field motion of fluid may create a force called electromotive force. The electromotive force has the ability to induce current. Ever since this field has a broad spectrum of science and engineering, in geophysics, fusion reactors, dispersion of metals, modern metallurgy and MHD generators etc. MHD flows are of immense concern in problems related with physiological fluids. Pavlov [1] was the pioneer who discussed the influence of magnetic field on MHD flow past a stretching surface
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