Abstract
In this paper, the numerical results are presented by using Lie group transformations, to be more efficient and sophisticated. To solve various fluid dynamic problems numerically, we present the numerical results in a field of velocity and distribution of temperature for different parameters regarding the problem of radiative heat, a magnetohydrodynamics, and non-Newtonian viscoelasticity for the unstable flow of optically thin fluid inside a channel filled with nonuniform wall temperature and saturated porous medium, including Hartmann number, porous medium and frequency parameter, and radiation parameter, with a comparison of the corresponding flow problems for a Newtonian fluid. Moreover, the effects of the pertinent parameters on the friction coefficient of skin and local Nusselt number were discussed numerically and also illustrate that graphically.
Highlights
The electromagnetic propulsion is an important application of magnetohydrodynamic flow of non-Newtonian viscoelastic fluids
This paper reviewed the combined effects of a transverse magnetic field, non-Newtonian viscoelasticity, and radiative heat transfer to unsteady the flow of optically thin fluid in a porous medium inside a channel filled with it and nonuniform channel wall temperature
This paper presented the results of the temperature and velocity numerically and used to compute the rate’s transfer of heat at the channel walls and shear stress of the wall
Summary
The electromagnetic propulsion is an important application of magnetohydrodynamic flow of non-Newtonian viscoelastic fluids. The magnetohydrodynamics is one of the applications of an electrically conducting fluid, as well as it will help the fluids which have thixotropic behavior in the flow of the liquid as the blood, lubrication with greases and heavy oils, and plastic extension. Journal of Function Spaces through vertical plate and studied the flow of mixed convection in a porous medium under the effect of a magnetic field. Through a porous medium in a channel filled with it, Makinde et al [16] have studied the possibility of heat transfer to the magnetohydrodynamic flow inside the cannel. The present paper is aimed at modifying the study of Makinde et al [16] for non-Newtonian fluid and investigating the combined effects of non-Newtonian viscoelasticity and radiative heat transfer through a channel filled with porous medium for optically thin fluid. The effects of the different parameters of the problem on the flow have been shown and discussed graphically
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