HEAT AND MASS TRANSFER ON UNSTEADY MHD FREE CONVECTION FLOW OF CHEMICALLY REACTIVE AND RADIATIVE FLOW PAST A VERTICAL POROUS PLATE IN SLIP FLOW REGIME WITH HEAT SOURCE/SINK AND THERMAL DIFFUSION

2019 ◽  
Vol 18 (1) ◽  
pp. 109-132
Author(s):  
S. Hamidul Islam ◽  
Dipak Sarma ◽  
Piroja Begum
Author(s):  
S. Harinath Reddy ◽  
M.C. Raju ◽  
E. Keshava Reddy

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


2019 ◽  
Vol 27 (1) ◽  
Author(s):  
M. Abu zeid ◽  
Khalid K. Ali ◽  
M. A. Shaalan ◽  
K. R. Raslan

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.


2019 ◽  
Vol 11 (12) ◽  
pp. 1249-1260
Author(s):  
M. Hasan ◽  
R. Biswas ◽  
M. Mondal ◽  
S. F. Ahmmed ◽  
Kazi Shanchia

The aspiration of the mechanism is the impacts of radiation and mass transfer on the transient free convection flow of a dissipative fluid with the vertical Porous plate by taking into a consideration of the viscous dissipation. The governing equations for the one-dimensional model are solved with proper boundary conditions. The radiative heat transfer in the limit of the optically thick fluid is described. The momentum coupled equation with the energy and mass diffusion equations are solved by explicit finite difference method (EFDM). For Tran programming language is used as the main tool for calculating the simulating results. A parametric evaluation displaying the influence of distinct flow parameters on velocity profile, transient temperature and concentration are outlined graphically with the help of tecplot-9. Finally, a comparison of the present study with the previous study has been deliberated for different interesting parameters.


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