scholarly journals Effects of Temperature Dependent Thermal Conductivity on Magnetohydrodynamic (MHD) Free Convection Flow along a Vertical Flat Plate with Heat Conduction

2008 ◽  
Vol 13 (4) ◽  
pp. 513-524 ◽  
Author(s):  
M. M. Rahman ◽  
A. A. Mamun ◽  
M. A. Azim ◽  
M. A. Alim
Keyword(s):  
Thermal Conductivity ◽  
Flat Plate ◽  
Linear Equations ◽  
Skin Friction Coefficient ◽  
Convection Flow ◽  
Temperature Dependent ◽  
Electrically Conducting ◽  
Conjugate Conduction ◽  
Temperature Dependent Thermal Conductivity ◽  
Vertical Flat Plate

MHD natural convection flow of an electrically conducting fluid along a vertical flat plate with temperature dependent thermal conductivity and conduction effects is analyzed. The governing equations with associated boundary conditions for this phenomenon are converted to dimensionless forms using a suitable transformation. The transformed non-linear equations are then solved using the implicit finite difference method with Keller-box scheme. Numerical results of the velocity, temperature, skin friction coefficient and surface temperature for different values of the magnetic parameter, thermal conductivity variation parameter, Prandtl number and conjugate conduction parameter are presented graphically. Detailed discussion is given for the effects of the aforementioned parameters.

scholarly journals Numerical study of magnetohydrodynamic free convective heat transfer flow along a vertical flat plate with temperature dependent thermal conductivity

2010 ◽  
Vol 6 (1) ◽  
pp. 16-29 ◽  
Author(s):  
M. M. Rahman ◽  
M. A. Alim
Keyword(s):  
Heat Transfer ◽  
Thermal Conductivity ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Flat Plate ◽  
Temperature Dependent ◽  
Implicit Finite Difference ◽  
Transfer Flow ◽  
Temperature Dependent Thermal Conductivity ◽  
Vertical Flat Plate

The present numerical work describes the effect of the magnetohydrodynamic (MHD) free convective heat transfer flow along a vertical flat plate with temperature dependent thermal conductivity and heat conduction. The governing equations reduce to local non-similarity boundary layer equations using suitable transformation have been integrated by employing an implicit finite difference method together with the Keller box technique. Comparison with previously published work is performed and excellent agreement is observed. Profiles of the dimensionless velocity and temperature distributions as well as the local skin friction coefficient and surface temperature distribution are shown graphically for various values of the magnetic parameter M, thermal conductivity variation parameter g and Prandtl number Pr.Keywords: Implicit finite difference method, free convection flow, vertical flow, vertical flat plate, temperature dependent thermal conductivityDOI: 10.3329/jname.v6i1.2654Journal of Naval Architecture and Marine Engineering Vol.6(1) 2009 16-29

scholarly journals Combined effects of viscous dissipation and temperature dependent thermal conductivity on MHD free convection flow with conduction and joule heating along a vertical flat plate

2010 ◽  
Vol 6 (1) ◽  
pp. 30-40 ◽  
Author(s):  
R. Nasrin ◽  
M. A. Alim
Keyword(s):  
Thermal Conductivity ◽  
Boundary Layer ◽  
Viscous Dissipation ◽  
Joule Heating ◽  
Convection Flow ◽  
Combined Effects ◽  
Temperature Dependent ◽  
Free Convection Flow ◽  
Temperature Dependent Thermal Conductivity ◽  
Vertical Flat Plate

Combined effects of viscous dissipation and temperature dependent thermal conductivity on MHD free convection flow with heat conduction and Joule heating along a vertical flat plate have been described in the present work. The governing boundary layer equations with associated boundary conditions for this phenomenon are converted to non-dimensional form using a suitable transformation. The resulting non-linear partial differential equations are then solved using the implicit finite difference method with Keller-box scheme. The numerical results in terms of the skin friction coefficient, the surface temperature, the velocity and the temperature profiles over the whole boundary layer are shown graphically for different values of the Prandtl number Pr, the magnetic parameter M, the thermal conductivity variation parameter γ, viscous dissipation parameter N and the Joule heating parameter J. Numerical results of the local skin friction co-efficient and the surface temperature profile for different values of N are presented in tabular form.Keywords: Joule heating; MHD; conduction; temperature dependent thermal conductivity; viscous dissipation;natural convection.DOI: 10.3329/jname.v5i2.2648Journal of Naval Architecture and Marine Engineering 6(1)(2009) 30-40 

scholarly journals Effects of temperature dependent thermal conductivity on natural convection flow along a vertical flat plate with heat generation

2012 ◽  
Vol 9 (2) ◽  
pp. 113-122
Author(s):  
A. K. M. Safiqul Islam ◽  
M. A. Alim ◽  
M. M. A. Sarker ◽  
A. F. M. Khodadad Khan
Keyword(s):  
Thermal Conductivity ◽  
Natural Convection ◽  
Heat Generation ◽  
Convection Flow ◽  
Temperature Profiles ◽  
Temperature Dependent ◽  
Natural Convection Flow ◽  
Effects Of Temperature ◽  
Temperature Dependent Thermal Conductivity ◽  
Vertical Flat Plate

The effects of temperature dependent thermal conductivity on natural convection flow of an electrically conducting fluid along a vertical flat plate with heat generation have been investigated in this paper. The governing equations with associated boundary conditions for this phenomenon are converted to dimensionless forms using a suitable transformation. The transformed non-linear equations are then solved using the implicit finite difference method. Numerical results of the velocity and temperature profiles, skin friction coefficient and surface temperature profiles for different values of the thermal conductivity variation parameter, Prandtl number and heat generation parameters are presented graphically. Detailed discussion is given for the effects of the aforementioned parameters.DOI: http://dx.doi.org/10.3329/jname.v9i2.9025 Journal of Naval Architecture and Marine Engineering 9(2012) 113-122

scholarly journals Conjugate Heat Transfer for a Vertical Flat Plate with Heat Generation Effect

2008 ◽  
Vol 13 (2) ◽  
pp. 213-223 ◽  
Author(s):  
A. A. Mamun ◽  
Z. R. Chowdhury ◽  
M. A. Azim ◽  
M. A. Maleque
Keyword(s):  
Heat Transfer ◽  
Flat Plate ◽  
Heat Generation ◽  
Linear Equations ◽  
Generation Effect ◽  
Convection Flow ◽  
Box Scheme ◽  
Conjugate Conduction ◽  
Generation Parameter ◽  
Vertical Flat Plate

The heat generation effect on natural convection flow along and conduction inside a vertical flat plate is investigated. The developed governing equations with the associated boundary conditions for this analysis are transferred to dimensionless forms using a local non-similar transformation. The transformed non-linear equations of the non-dimensional equations are then solved using the implicit finite difference method with Keller box-scheme. Numerical results are found for different values of the heat generation parameter, conjugate conduction parameter and Prandtl number. The overall investigation of the velocity, temperature, skin friction and heat transfer rate are presented graphically.

scholarly journals EFFECTS OF THERMAL CONDUCTIVITY OF FLUID ON FREE CONVECTION FLOW ALONG A VERTICAL FLAT PLATE WITH TRANSVERSE CONDUCTION

2015 ◽  
Vol 44 (2) ◽  
pp. 105-111
Author(s):  
A K M Safiqul Islam ◽  
M. A. Alim ◽  
Md Rezaul Karim ◽  
ATM M Rahman
Keyword(s):  
Thermal Conductivity ◽  
Flat Plate ◽  
Skin Friction ◽  
Linear Equations ◽  
Convection Flow ◽  
Temperature Profiles ◽  
Boundary Layer Equations ◽  
Thermal Conductivity Parameter ◽  
Conductivity Parameter ◽  
Vertical Flat Plate

This paper reports the effects of transverse conduction variation with thermal conductivity on freeconvection flow along a vertical flat plate. The governing equations with associated boundary conditions reduceto local non-similarity boundary layer equations for this phenomenon are converted to dimensionless forms usinga suitable transformation. The transformed non-linear equations are then solved using the implicit finitedifference method together with Keller-box technique. Numerical results of the velocity and temperature profiles,skin friction and surface temperature profiles for different values of the thermal conductivity parameter, thePrandtl number and the transverse conduction variation parameters are presented graphically. Detaileddiscussion is given for the effect of the aforementioned parameters. Mentionable effect is found in skin friction andsurface temperature for the transverse conduction variation parameter.

scholarly journals NUMERICAL SOLUTION OF TEMPERATURE DEPENDENT THERMAL CONDUCTIVITY ON MHD FREE CONVECTION FLOW WITH JOULE HEATING ALONG A VERTICAL WAVY SURFACE

2014 ◽  
Vol 44 (1) ◽  
pp. 43-50 ◽  
Author(s):  
N. Parveen ◽  
M. A. Alim
Keyword(s):  
Thermal Conductivity ◽  
Joule Heating ◽  
Skin Friction Coefficient ◽  
Wavy Surface ◽  
Convection Flow ◽  
Temperature Dependent ◽  
Boundary Layer Equations ◽  
Box Scheme ◽  
Stream Lines ◽  
Temperature Dependent Thermal Conductivity

Temperature dependent thermal conductivity on magnetohydrodynamic (MHD) free convective flow of viscous incompressible fluid with Joule heating along a uniformly heated vertical wavy surface has been investigated numerically. The governing nonlinear boundary layer equations are mapped into a domain of a vertical flat plate and solved by an implicit finite difference method known as Keller-box scheme. The skin friction coefficient, the rate of heat transfer in terms of local Nusselt number, the stream lines and the isotherms are reported for different parameter combinations. DOI: http://dx.doi.org/10.3329/jme.v44i1.19497

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