Effects of Thermal Radiation on Temperature and Concentration on MHD Free Convection Flow Past a Vertical Porous Plate in the Presence of Chemical Reaction and Heat Source Parameter

Unsteady magneto hydrodynamic (MHD) free convection flow of a viscous, incompressible and electrically conducting, well known non-Newtonian fluid named as Kuvshinski fluid past an infinite vertical porous plate in the presence of homogeneous chemical reaction, radiation absorption and heat source/sink is studied analytically. The plate is assumed to move with a constant velocity in the direction of fluid flow. A magnetic field of uniform strength is applied perpendicular to the plate, which absorbs the fluid with a suction that varies with time. The dimensionless governing equations are solved analytically using two terms harmonic and non-harmonic functions. The expressions for the fields of velocity, temperature and concentration are obtained. With the aid of these the expressions for skin friction, Nusselt number and Sherwood number are derived. The effects of various physical parameters on the flow quantities are studied through graphs and tables. For the validity, we have checked our results with previously published work and found in good agreement. Velocity decreases for an increase in visco elastic parameter α2, heat absorption coefficient φ, the chemical reaction parameter γ , the magnetic field parameter M, the Prandtl number Pr, the Schmidt number Sc, and increases for increase in Grashof number Gm, the radiation absorption parameter Q1

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An Unsteady Mhd Mixed Convection Flow Past A Vertical Porous Plate With Soret Effect And Viscous Dissipation in the Presence of Thermal Radiation And Chemical Reaction

i-manager’s Journal on Mathematics ◽

10.26634/jmat.6.3.13659 ◽

2017 ◽

Vol 6 (3) ◽

pp. 32

Author(s):

Reddy K. Sidda ◽

Raju G.S.S. ◽

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Keyword(s):

Mixed Convection ◽

Thermal Radiation ◽

Viscous Dissipation ◽

Chemical Reaction ◽

Soret Effect ◽

Porous Plate ◽

Convection Flow ◽

Mixed Convection Flow ◽

Vertical Porous Plate ◽

Flow Past

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Numerical study of thermal radiation and mass transfer effects on free convection flow over a moving vertical porous plate using cubic B-spline collocation method

Journal of the Egyptian Mathematical Society ◽

10.1186/s42787-019-0035-8 ◽

2019 ◽

Vol 27 (1) ◽

Author(s):

M. Abu zeid ◽

Khalid K. Ali ◽

M. A. Shaalan ◽

K. R. Raslan

Keyword(s):

Mass Transfer ◽

Differential Equations ◽

Free Convection ◽

Thermal Radiation ◽

Porous Plate ◽

Convection Flow ◽

Spline Collocation ◽

Free Convection Flow ◽

B Spline ◽

Vertical Porous Plate

Abstract In this paper, we present a numerical method based on cubic B-spline function for studying the effects of thermal radiation and mass transfer on free convection flow over a moving vertical porous plate. Similarity transformations reduced the governing partial differential equations of the fluid flow to a system of nonlinear ordinary differential equations which are solved numerically using a cubic B-spline collocation method. The effects of various physical parameters on the velocity, temperature, and concentration distributions are shown graphically, and the numerical values of physical quantities like skin friction, Nusselt number, and Sherwood number for various parameters are presented in tabular form and discussed.

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