Joule-heating effects on unsteady natural convection from a heatedvertical plate in a micropolar fluid

1998 ◽  
Vol 76 (12) ◽  
pp. 977-984 ◽  
Author(s):  
M A Mansour ◽  
RSR Gorla
Keyword(s):  
Boundary Layer ◽  
Natural Convection ◽  
Joule Heating ◽  
Micropolar Fluid ◽  
Order Term ◽  
Temperature Fields ◽  
Convection Flow ◽  
Boundary Layer Equations ◽  
Heating Effects ◽  
Unsteady Natural Convection

A boundary-layer solution is presented to study the effects of viscous and Joule heating on unsteady natural convection flow in a micropolar fluid. Viscous dissipation has been retained as a first-order term. Numerical results for the unsteady boundary-layer equations have been obtained at any point along the vertical plate using the finite-difference method. Details of the velocity, microrotation, and temperature fields are presented for various material parameters.PACS Nos.: 44.25+F, 47.27-i, and 47.27Te

scholarly journals Joule heating effect on magnetohydrodynamic natural convection flow along a vertical wavy surface

2012 ◽  
Vol 9 (1) ◽  
pp. 11-24 ◽  
Author(s):  
Nazma Parveen ◽  
M A Alim
Keyword(s):  
Natural Convection ◽  
Joule Heating ◽  
Skin Friction Coefficient ◽  
Wavy Surface ◽  
Convection Flow ◽  
Surface Shear Stress ◽  
Natural Convection Flow ◽  
Surface Shear ◽  
Boundary Layer Equations ◽  
Marine Engineering

In this paper, the effect of Joule heating on magnetohydrodynamic natural convection flow of viscous incompressible fluid along a uniformly heated vertical wavy surface has been investigated. The governing boundary layer equations with associated boundary conditions for this phenomenon are converted to nondimensional form using a suitable transformation. The equations are mapped into the domain of a vertical flat plate and then solved numerically employing the implicit finite difference method, known as the Keller-box scheme. Effects of pertinent parameters, such as the Joule heating parameter (J), Prandtl number (Pr), magnetic parameter (M) and the amplitude of the wavy surface ? on the surface shear stress in terms of the skin friction coefficient (Cfx), the rate of heat transfer in terms of local Nusselt number (Nux), the streamlines and the isotherms are discussed. A comparison with previously published work is performed and the results show excellent agreement. DOI: http://dx.doi.org/10.3329/jname.v9i1.5954 Journal of Naval Architecture and Marine Engineering 9(2012) 11-24

Joule heating effects on magnetohydrodynamic free convection flow of a micropolar fluid

1999 ◽  
Vol 26 (2) ◽  
pp. 219-227 ◽  
Author(s):  
M. Abd El-Hakiem ◽  
A.A. Mohammadein ◽  
S.M.M. El-Kabeir ◽  
Rama Subba Reddy Gorla
Keyword(s):  
Free Convection ◽  
Joule Heating ◽  
Micropolar Fluid ◽  
Convection Flow ◽  
Free Convection Flow ◽  
Heating Effects

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).

Natural convection from a Plane Vertical Porous Surface in Non Isothermal

2004 ◽  
Vol 9 (2) ◽  
pp. 151-170
Author(s):  
S. C. Saha
Keyword(s):  
Boundary Layer ◽  
Natural Convection ◽  
Finite Difference ◽  
Numerical Solutions ◽  
Vertical Surface ◽  
Convection Flow ◽  
Boundary Layer Equations ◽  
Solution Methods ◽  
Distinct Solution ◽  
Perturbation Solutions

In this paper, laminar natural convection flow from a permeable and isothermal vertical surface placed in non-isothermal surroundings is considered. Introducing appropriate transformations into the boundary layer equations governing the flow derives non-similar boundary layer equations. Results of both the analytical and numerical solutions are then presented in the form of skin-friction and Nusselt number. Numerical solutions of the transformed non-similar boundary layer equations are obtained by three distinct solution methods, (i) the perturbation solutions for small ξ (ii) the asymptotic solution for large ξ (iii) the implicit finite difference method for all ξ where ξ is the transpiration parameter. Perturbation solutions for small and large values of ξ are compared with the finite difference solutions for different values of pertinent parameters, namely, the Prandtl number Pr, and the ambient temperature gradient n.

scholarly journals Joule Heating Effect on the Coupling of Conduction with Magnetohydrodynamic Free Convection Flow from a Vertical Flat Plate

2007 ◽  
Vol 12 (3) ◽  
pp. 307-316 ◽  
Author(s):  
M. A. Alim ◽  
Md. M. Alam ◽  
Abdullah Al-Mamun
Keyword(s):  
Boundary Layer ◽  
Surface Temperature ◽  
Flat Plate ◽  
Skin Friction ◽  
Joule Heating ◽  
Convection Flow ◽  
Boundary Layer Equations ◽  
Box Scheme ◽  
Implicit Finite Difference ◽  
Vertical Flat Plate

The present work describes the effect of magnetohydrodynamic (MHD) natural convection flow along a vertical flat plate with Joule heating and heat conduction. The governing boundary layer equations are first transformed into a non-dimensional form and resulting nonlinear system of partial differential equations are then solved numerically by using the implicit finite difference method with Keller box scheme. The results of the skin friction co-efficient, the surface temperature distribution, the velocity and the temperature profiles over the whole boundary layer are shown graphically for different values of the Prandtl number Pr (Pr = 1.74, 1.00, 0.72, 0.50, 0.10), the magnetic parameter M (M = 1.40, 0.90, 0.50, 0.10) and the Joule heating parameter J (J = 0.90, 0.70, 0.40, 0.20). Numerical values of the skin friction coefficients and surface temperature distributions for different values of Joule heating parameter have been presented in tabular form.

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