DARCIAN VELOCITY AND TEMPERATURE JUMP EFFECTS ON CONVECTION FROM VERTICAL SURFACE EMBEDDED IN POROUS MEDIA

2015 ◽  
Vol 33 (2) ◽  
pp. 97-102 ◽  
Author(s):  
V. Al-khliefat ◽  
H. Duwairi
Keyword(s):  
Porous Media ◽  
Temperature Jump ◽  
Vertical Surface ◽  
Darcian Velocity

Asymptotic Model of Free Convection Flow on a Vertical Surface in Porous Media with Newtonian Heating

2015 ◽  
Vol 756 ◽  
pp. 469-475
Author(s):  
Anna A. Bocharova ◽  
Irina V. Plaksina ◽  
Andrey A. Obushnyy
Keyword(s):  
Mathematical Model ◽  
Porous Media ◽  
Free Convection ◽  
Vertical Surface ◽  
Momentum Equation ◽  
Convection Flow ◽  
Asymptotic Model ◽  
Free Convection Flow ◽  
Energy Equations ◽  
The Mathematical Model

The mathematical model based on system of momentum and energy equations for free convection flow along a vertical surface in porous media under boundary conditions of the third sort is solved analytically using the method of matched asymptotic expansions. The region of validity for boundary layer model and expansions for stream function and temperature with parameter of perturbations were defined. The dependence of characteristic flow from governing dimensionless parameters and was analyzed numerically. The influence of viscous and convective terms of momentum equation in the proposed mathematical model significantly increases the rate of heat transfer on plate in porous media in comparison with Darsy flow model.

Stagnation Flow on a Heated Vertical Plate With Surface Slip

2013 ◽  
Vol 135 (7) ◽  
Author(s):  
C. Y. Wang ◽  
Chiu-On Ng
Keyword(s):  
Vertical Plate ◽  
Flat Surface ◽  
Temperature Jump ◽  
Heated Surface ◽  
Vertical Surface ◽  
Two Dimensional ◽  
Axially Symmetric ◽  
Stagnation Flow ◽  
Surface Slip ◽  
Similarity Method

Two problems of stagnation flow on a uniformly heated surface with slip and temperature jump are solved in this paper with an exact similarity method. In the first problem, an axially symmetric stagnation flow impinging on a uniformly heated vertical flat surface is considered, and in the second problem, an inclined, two-dimensional stagnation flow impinging on the vertical surface is examined. It is shown that the surface slip can have a significant effect on the flow and the heat transfer in the two problems.

Effect of Double Dispersion on Mixed Convection Heat and Mass Transfer in Non-Darcy Porous Medium

2000 ◽  
Vol 122 (3) ◽  
pp. 476-484 ◽  
Author(s):  
P. V. S. N. Murthy
Keyword(s):  
Mass Transfer ◽  
Porous Media ◽  
Mixed Convection ◽  
Heat And Mass Transfer ◽  
Vertical Surface ◽  
Hydrodynamic Dispersion ◽  
Convection Heat ◽  
Transfer Coefficients ◽  
Flow Temperature ◽  
Double Dispersion

Similarity solution for the problem of hydrodynamic dispersion in mixed convection heat and mass transfer from vertical surface embedded in porous media has been presented. The flow induced by the density variations is comparable with the freestream flow. The heat and mass transfer in the boundary layer region for aiding and opposing buoyancies in both aiding and opposing flows has been analyzed. The structure of the flow, temperature, and concentration fields in the Darcy and non-Darcy porous media are governed by complex interactions among the diffusion rate (Le) and buoyancy ratio (N) in addition to the flow driving parameter (Ra/Pe). The flow, temperature, and concentration fields are analyzed and the variation of heat and mass transfer coefficients with the governing parameters are presented. [S0022-1481(00)00703-9]

Time-Dependent Hydromagnetic Boundary Layer Flow across a Porous Vertical Surface with Internal Heat Generation

2021 ◽  
Vol 409 ◽  
pp. 17-38
Author(s):  
Musah Sulemana ◽  
Ibrahim Yakubu Seini
Keyword(s):  
Boundary Layer ◽  
Porous Media ◽  
Boundary Layer Flow ◽  
Practical Importance ◽  
Internal Heat ◽  
Vertical Surface ◽  
Skin Friction Coefficient ◽  
Time Dependent ◽  
Flow In Porous Media ◽  
Layer Flow

The time-dependent hydromagnetic boundary layer flow across a vertical surface with internal heat regeneration in porous media is investigated. The flow problem has been modelled mathematically in partial differential equations along with appropriate defined boundary conditions. These equations were expressed in dimensionless form using suitable similarity variables. The resulting dimensionless equations along with the conditions defined at the boundaries are solved by means of the Laplace transform methods. Results of the study are graphically illustrated for various quantities of practical importance. It was concluded that time positively influence the flow as a reduced skin friction coefficient was observed. Furthermore, the magnetic parameter, the radiation parameter, the heat absorption parameter and the permeability of the porous media can be used to influence the characteristics of a flow in porous media.

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