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3 International Journal of Applied Mechanics and Engineering

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Newtonian heating effect on heat absorbing unsteady MHD radiating and chemically reacting free convection flow past an oscillating vertical porous plate

Prabhakar Reddy B., Makinde O. D.

International Journal of Applied Mechanics and Engineering

2022

Vol. 27, no. 1

168--187

In this article, we have discussed in detail the effect of Newtonian heating on MHD unsteady free convection boundary layer flow past an oscillating vertical porous plate embedded in a porous medium with thermal radiation, chemical reaction and heat absorption. The governing PDEs of the model together with related initial and boundary conditions have been solved numerically by the finite element method. The dimensionless velocity, temperature and concentration profiles are analyzed graphically due to the effects of key parameters in the concerned model problem. Computed results for the skin friction coefficient, Nusselt number and Sherwood number are put in tabular form. It is observed that the thermal and mass buoyancy effects support the velocity whilst a reverse effect is noticed when the strength of the magnetic field is increased. The velocity and temperature enhances with an increase in the Newtonian heating and thermal radiation whilst a reverse effect is observed with an increase in the Prandtl number and heat absorption parameter. Increasing Schmidt number and chemical reaction parameter tends to depreciate both velocity and concentration. The Newtonian heating, thermal radiation and magnetic field tends to decrease in the skin friction. The Nusselt number increases with increasing Newtonian heating and heat absorption parameters. An increase in the Schmidt number and chemical reaction rate tends to improve the Sherwood number.

Magnetohydrodynamic free convection heat and mass transfer over an oscillating plate with radiation absorption - an exact solution

Chaudhary R. C., Jain P.

International Journal of Applied Mechanics and Engineering

2008

Vol. 13, no 4

903-921

The problem of magnetohydrodynamic free-convection flow past an infinite vertical oscillating plate in the presence of chemical species concentration and thermal radiation effects has been solved. The plate temperature increases linearly with time and the fluid considered here is a gray, absorbing-emitting radiation but a non-scattering medium. The governing equations are non-dimensionalized and their solutions are obtained in a closed form using the Laplace-transform technique. A parametric study is performed to illustrate the influence of the radiation parameter, magnetic parameter, thermal Grashof number, mass Grashof number, time, Schmidt number and frequency of oscillations on the velocity, temperature and concentration profiles. The variation of the dimensionless skin-friction coefficient, wall heat transfer and the Sherwood number for different values of the parameters appearing in their expression is also shown with the help of figures.

Effect of radiation on unsteady free convection flow bounded by an oscillating plate with variable wall temperature

Pathak G., Maheshwari C., Gupta S. P.

International Journal of Applied Mechanics and Engineering

2006

Vol. 11, no 2

371-382

The object of the paper is to study the radiation effects on an unsteady free convective flow through a porous medium bounded by an oscillating plate with a variable wall temperature. The momentum and energy boundary layer equations have been solved by taking series expansions of velocity and temperature function in powers of product of magnetic field and time. The analytical solution of resulting ordinary differential equations has been obtained in terms of repeated integrals of complementary error functions. Also, the velocity and temperature profiles, for different values of the parameters, have been drawn and discussed.