Abstract
Numerical investigation of the effects of magnetic field strength, thermal radiation, Joule heating, and viscous heating on a forced convective flow of a non-Newtonian, incompressible power-law fluid in an axisymmetric stretching sheet with variable temperature wall is accomplished. The power-law shear-thinning viscosity-shear rate model for the anisotropic solutions and the Rosseland approximation for the thermal radiation through a highly absorbing medium is considered. The temperature-dependent heat sources, Joule heating, and viscous heating are considered to be the source terms in the energy balance. The non-dimensional boundary-layer equations are solved numerically in terms of similarity variable. A parameter study on the boundary value of chemical reaction and Nusselt number is performed as a function of thermal radiation parameter, Brinkman number, Prandtl number, Hartmann number, power-law index, heat source coefficient, Brownian parameter, thermophoresis parameter, and the chemical reaction parameter. The results show that the chemical reaction parameter has an increasing effect on the chemical reaction boundary while the magnetic, thermophoresis, and Brownian effects decrease the rate of the chemical reaction at the boundary.
Highlights
Flow past a stretching plate has been a topic of the research for around half a century [1]
The work presents a study on the physical aspects of MHD on the chemical reactions on non-Newtonian fluid flow over stretching surface which has a significant role in food processing, polymer manufacturing, chemical engineering industries, and metallurgy
The coupled problem of heat, fluid flow, and mass transfer through a chemical reactive medium is of importance in science and engineering application such as the dying industry, polymer industry, food industry, the metallurgy of metal plates, and have since received a high level of attention in recent times
Summary
Flow past a stretching plate has been a topic of the research for around half a century [1]. The forced convective heat transfer on a stretching sheet with injection, suction, and blowing with variable temperature are studied by Grubka and Bobba [3]. They showed the thermodynamic aspects of the problem is affected significantly by the flow characteristics. The temperature field in a flow over a stretching plate with a uniform heat flux [6] and with variable heat flux [8] including the distribution of heat transfer reveals the effect of flux distribution on the thermal balance in the volume. Flow and heat transfer of a fluid through a porous medium over a stretching surface with internal heat generation/absorption and suction/blowing is studied by Cortell [11]
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