A solution of the convection-conduction heat-transfer equation in porous media by the von Rosenberg finite-difference scheme

1994 ◽  
Vol 10 (6) ◽  
pp. 677-687 ◽  
Author(s):  
Daniel M. Ginosar ◽  
Don W. Green
Keyword(s):  
Heat Transfer ◽  
Porous Media ◽  
Finite Difference ◽  
Difference Scheme ◽  
Transfer Equation ◽  
Finite Difference Scheme ◽  
Heat Transfer Equation ◽  
Conduction Heat Transfer

scholarly journals Temperature distribution in the three-layered upper mantle beneath a continent

2021 ◽  
Vol 2119 (1) ◽  
pp. 012006
Author(s):  
A G Kirdyashkin ◽  
A A Kirdyashkin ◽  
A V Borodin ◽  
V S Kolmakov
Keyword(s):  
Heat Transfer ◽  
Temperature Distribution ◽  
Convective Heat Transfer ◽  
Upper Mantle ◽  
Lower Mantle ◽  
Transfer Equation ◽  
Horizontal Layer ◽  
Heat Transfer Equation ◽  
Continental Lithosphere ◽  
Conduction Heat Transfer

Abstract Temperature distribution in the upper mantle underneath the continent, as well as temperature distribution in the lower mantle, is obtained. In the continental lithosphere, the solution to the heat transfer equation is obtained in the model of conduction heat transfer with inner heat within the crust. To calculate the temperature distribution in the upper and lower mantle, we use the results of laboratory and theoretical modeling of free convective heat transfer in a horizontal layer heated from below and cooled from above.

MHD flows on irregular boundary over a diverging channel with viscous dissipation effect

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Iyyappan G. ◽  
Abhishek Kumar Singh
Keyword(s):  
Heat Transfer ◽  
Finite Difference ◽  
Difference Scheme ◽  
Skin Friction ◽  
Viscous Dissipation ◽  
Finite Difference Scheme ◽  
Uniform Mesh ◽  
Irregular Boundary ◽  
Content Type ◽  
Diverging Channel

Purpose The purpose of this paper is to analyse the force convection laminar boundary layer flow on irregular boundary in diverging channel with the presence of magnetic field effects. Effects of various fluid parameters such as suction/injection, viscous dissipation, magnetic parameter and heat source/sink on velocity and temperature profiles are numerically analyzed. Moreover, numerically investigated on skin-friction and heat transfer coefficients when suction/injection occur. Design/methodology/approach The governing coupled partial differential equations are transformed to dimensionless form using non-similarity transformations. The non-dimensional partial differential equations are linearized by quasi-linearization technique and solved by varga's algorithm with numerical finite difference scheme on a non-uniform mesh. Findings The computation results are presented in terms of temperature, heat transfer and skin friction coefficients; these are useful for determining surface heat requirements. It was found that, in finite difference scheme for non-uniform mesh with quasi-linearization technique method gives smoothness of solution compared to finite difference scheme for uniform mesh, and this evidence is graphically represented in Figure 2. Originality/value The impacts of viscous dissipation (Ec) and magnetic parameter (Ha) on temperature profiles, skin friction and heat transfer are analyzed, which determine the heat generation/absorption to ensure the MHD flow of the laminar boundary layer on irregular boundary over a diverging channel.

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