scholarly journals Finite element analysis of Soret and Dufour effects on unsteady MHD free convection flow past an impulsively started vertical porous plate with viscous dissipation

2011 ◽  
Vol 8 (1) ◽  
pp. 1-12 ◽  
Author(s):  
M Gnaneswara Reddy ◽  
N Bhaskar Reddy
Keyword(s):  
Finite Element ◽  
Free Convection ◽  
Porous Plate ◽  
Skin Friction Coefficient ◽  
Similarity Solutions ◽  
Convection Flow ◽  
Free Convection Flow ◽  
Soret And Dufour Effects ◽  
Element Analysis ◽  
Boundary Layer Equations

The free convection flow of an unsteady magnetohydrodynamic and viscous dissipating fluid past an impulsively started vertical plate with soret and dufour effects has been analyzed. With appropriate transformations the boundary layer equations are transformed into nonlinear ordinary differential equations. The local unsteady similarity solutions of the transformed dimensionless equations for the flow. These equations are solved numerically by a finite element method. Favorable comparisons with previously published work are obtained. The effects of the various parameters on the velocity, temperature and concentration profiles as well as the skin-friction coefficient, Nusselt number and Sherwood number are presented graphically and in tabulated form.DOI: http://dx.doi.org/10.3329/jname.v8i1.3507

Series solution of unsteady free convection flow with mass transfer along an accelerated vertical porous plate with suction

Open Physics ◽  
2010 ◽  
Vol 8 (6) ◽  
Author(s):  
Haider Zaman ◽  
Muhammad Ayub
Keyword(s):  
Velocity Field ◽  
Free Convection ◽  
Series Solution ◽  
Analytic Solution ◽  
Porous Plate ◽  
Skin Friction Coefficient ◽  
Convection Flow ◽  
Free Convection Flow ◽  
Vertical Porous Plate ◽  
Field Temperature

AbstractThe problem of unsteady free convection flow is considered for the series solution (analytic solution). The flow is induced by an infinite vertical porous plate which is accelerated in its own plane. The series solution expressions for velocity field, temperature field and concentration distribution are presented. The influence of important parameters is seen on the velocity, temperature, concentration, skin friction coefficient and temperature gradient with the help of graphs and tables. Convergence is also properly checked for different values of the important parametes for velocity field, temperature and concentration with the help of ħ-curves.

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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