Similarity Solutions for Natural Convection Flow Induced by Diffusion and Chemical Reaction from a Vertical Plane Surface

1976 ◽  
Vol 4 (3) ◽  
pp. 175-177
Author(s):  
M. Rahman
Keyword(s):  
Natural Convection ◽  
Chemical Reaction ◽  
Plane Surface ◽  
Vertical Plane ◽  
Similarity Solutions ◽  
Convection Flow ◽  
Natural Convection Flow

Laminar hydromagnetic natural convection flow along a heated vertical surface in a stratified environment with internal heat absorption

2002 ◽  
Vol 80 (10) ◽  
pp. 1145-1156 ◽  
Author(s):  
A J Chamkha
Keyword(s):  
Magnetic Field ◽  
Natural Convection ◽  
Thermal Environment ◽  
Outer Part ◽  
Internal Heat ◽  
Similarity Solutions ◽  
Convection Flow ◽  
Heat Absorption ◽  
Natural Convection Flow ◽  
Mass Transfer Parameter

The problem of steady, laminar, natural convection flow along a vertical permeable surface immersed in a thermally stratified environment in the presence of magnetic-field and heat-absorption effects is studied numerically. Conditions for similarity solutions are determined for arbitrary stable and unstable thermal environment stratification. Numerical solution of the similarity equations is performed using an implicit, iterative, tri-diagonal finite-difference method. Comparison with previously published work is performed and the results are found to be in excellent agreement. The effects of Hartmann number, heat-absorption coefficient, and the wall mass-transfer parameter on the velocity and temperature profiles as well as the skin-friction coefficient and Nusselt number are presented graphically and discussed. It is found that both the magnetic-field and heat-absorption effects eliminate the occurrence of the fluid backflow and temperature deficit in the outer part of the boundary layer predicted for the nonmagnetic case. PACS Nos.: 44.20, 44.25, 47.65

scholarly journals Similarity analysis for natural convection from a vertical plate with distributed wall concentration

2000 ◽  
Vol 23 (5) ◽  
pp. 319-334 ◽  
Author(s):  
I. Mulolani ◽  
M. Rahman
Keyword(s):  
Natural Convection ◽  
Chemical Reaction ◽  
Schmidt Number ◽  
Vertical Plate ◽  
Reaction Order ◽  
Similarity Solutions ◽  
Convection Flow ◽  
Fundamental Parameters ◽  
Runge Kutta Method ◽  
Convection Layer

Steady laminar natural convection flow over a semi-infinite vertical plate is examined in this paper. It is assumed that the concentration of a species along the plate follows some algebraic law with respect to chemical reaction. Similarity solutions may then be obtained for different orders of reaction. The fundamental parameters of this problem are the Schmidt number, Sc, and reaction order,n. Numerical results, based on the fourth order Runge-Kutta method, for Schmidt number ranging from0.0to100.0and reaction order from0.0to1.5are presented. When chemical reaction occurs, diffusion and velocity domains are seen to expand out from the plate. For large values ofn, one may expect a smaller diffusion layer which, at fixed Schmidt number, is associated with increased velocity and reduced convection-layer.

scholarly journals Conjugate Effects of Heat and Mass Transfer on Natural Convection Flow Across an Isothermal Horizontal Circular Cylinder With Chemical Reaction

2007 ◽  
Vol 12 (2) ◽  
pp. 191-201 ◽  
Author(s):  
Md. A. Hye ◽  
Md. M. Molla ◽  
M. A. H. Khan
Keyword(s):  
Boundary Layer ◽  
Natural Convection ◽  
Chemical Reaction ◽  
Transfer Rate ◽  
Convection Flow ◽  
Natural Convection Flow ◽  
Species Concentration ◽  
Local Skin ◽  
Boundary Layer Equations ◽  
Wide Range

Natural convection flow across an isothermal cylinder immersed in a viscous incompressible fluid in the presence of species concentration and chemical reaction has been investigated. The governing boundary layer equations are transformed into a system of non-dimensional equations and the resulting nonlinear system of partial differential equations is reduced to a system of local non-similarity boundary layer equations, which is solved numerically by a very efficient implicit finite difference method together with the Keller-box scheme. Numerical results are presented by the velocity, temperature and species concentration profiles of the fluid as well as the local skin-friction coefficient, local heat transfer rate and local species concentration transfer rate for a wide range of chemical reaction parameter γ (γ = 0.0, 0.5, 1.0, 2.0, 4.0), buoyancy ratio parameter N (N = −1.0, −0.5, 0.0, 0.5, 1.0), Schmidt number Sc (Sc = 0.7, 10.0, 50.0, 100.0) andPrandtl number Pr (Pr = 0.7, 7.0).

Heat and mass transfer by natural convection flow about a truncated cone in porous media with Soret and Dufour effects

2014 ◽  
Vol 24 (3) ◽  
pp. 595-612 ◽  
Author(s):  
A. Rashad ◽  
A. Chamkha
Keyword(s):  
Mass Transfer ◽  
Porous Media ◽  
Natural Convection ◽  
Thermal Radiation ◽  
Heat And Mass Transfer ◽  
Chemical Reaction ◽  
Convection Flow ◽  
Natural Convection Flow ◽  
Soret And Dufour Effects ◽  
Content Type

Purpose – The purpose of this paper is to study the effects of chemical reaction, thermal radiation and Soret and Dufour effects of heat and mass transfer by natural convection flow about a truncated cone in porous media. Design/methodology/approach – The problem is formulated and solved numerically by an accurate implicit finite-difference method. Findings – It is found that the Soret and Dufour effects as well as the thermal radiation and chemical reaction cause significant effects on the heat and mass transfer charateristics. Originality/value – The problem is relatively original as it considers Soret and Dufour as well as chemical reaction and porous media effects on this type of problem.

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