Finite difference solution of radiation effects on MHD unsteady free-convection flow over vertical porous plate

2004 ◽  
Vol 151 (2) ◽  
pp. 327-346 ◽  
Author(s):  
M.A. Abd El-Naby ◽  
Elsayed M.E. Elbarbary ◽  
Nader Y. AbdElazem
Keyword(s):  
Finite Difference ◽  
Free Convection ◽  
Radiation Effects ◽  
Porous Plate ◽  
Convection Flow ◽  
Free Convection Flow ◽  
Vertical Porous Plate ◽  
Finite Difference Solution ◽  
Difference Solution

scholarly journals Chemical reaction and radiation effects on the transient MHD free convection flow of dissipative fluid past an infinite vertical porous plate with ramped wall temperature

2011 ◽  
Vol 17 (2) ◽  
pp. 189-198 ◽  
Author(s):  
V. Rajesh
Keyword(s):  
Finite Difference ◽  
Free Convection ◽  
Chemical Reaction ◽  
Wall Temperature ◽  
Radiation Effects ◽  
Porous Plate ◽  
Convection Flow ◽  
Vertical Porous Plate ◽  
Linear Partial Differential Equations ◽  
Dissipative Fluid

A finite-difference analysis is performed to study the effects of thermal radiation and chemical reaction on the transient MHD free convection and mass transform flow of a dissipative fluid past an infinite vertical porous plate subject to ramped wall temperature. The fluid considered here is a gray, absorbing/emitting radiation but a non-scattering medium. The dimensionless governing equations are unsteady, coupled and non-linear partial differential equations. An analytical method fails to give a solution. Hence an implicit finite difference scheme of Crank-Nicolson method is employed. The effect of the Magnetic parameter (M), Chemical reaction parameter (K), Radiation parameter (F), Buoyancy ratio parameter (N), Schmidt number (Sc) on the velocity field and skin friction for both air (Pr=0.71) and water(Pr=7) in the presence of both aiding (N>0) and opposing (N<0) flows are extensively discussed with the help of graphs.

scholarly journals 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

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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