Mathematical Modelling of Variable Viscosity Hydromagnetic Boundary Layer Flow with Thermal Radiation and Newtonian Heating
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Date
2020
Authors
Okello, John A.
Mutuku, Winfred N.
Journal Title
Journal ISSN
Volume Title
Publisher
International Journal of Advances in Scientific Research and Engineering (ijasre)
Abstract
Magnetohydrodynamic (MHD) boundary layer flow for a variable viscosity fluid subject to thermal radiation and
Newtonian heating has numerous applications in industry and engineering such as designing of cooling systems in
electronic devices, cooling of nuclear reactors, solar energy harvesting, thermal insulation, heat exchangers and in
geothermal reservoirs. Heat transfer by thermal radiation is of significance to engineering processes that occur at
high temperature and plays a major role in designing of equipment used in Nuclear reactors, gas turbines and
equipment for propelling air crafts, missiles, satellites, and rockets. In this study, we use the fourth-order Runge-Kutta
method and the shooting technique to find the numerical solution to the equations of fluid flow governing the
boundary layer flow of a varying viscosity electrically conducting fluid that is subjected to a constant magnetic field in
the presence of thermal radiation and Newtonian heating. The graphical results depicting the effects of various
thermophysical parameters on the velocity and temperature profiles of the fluid are presented and then discussed
quantitatively. From the study, we note that the velocity of the fluid increases with the increase in the values of the
magnetic parameter and variable viscosity parameter. Furthermore, the temperature of the fluid increases with an
increase in the values of the magnetic field parameter, Brinkmann number and local Biot number and decreases with
the increase in thermal radiation parameter and variable viscosity parameter.
Description
A Paper Published in International Journal of Advances in Scientific Research and Engineering (ijasre)
Keywords
Magnetohydrodynamic, Boundary Layer Flow, Thermal Radiation.
Citation
Okello, J. A., & Mutuku, W. N. (2020). Mathematical Modelling of Variable Viscosity Hydromagnetic Boundary Layer Flow with Thermal Radiation and Newtonian Heating. Mathematical Modelling.