scholarly journals MHD Free Convection Flow with Temperature Dependent Thermal Conductivity in Presence of Heat Absorption along a Vertical Wavy Surface

2013 ◽  
Vol 56 ◽  
pp. 68-75 ◽  
Author(s):  
Nazma Parveen ◽  
Md. Abdul Alim
Keyword(s):  
Thermal Conductivity ◽  
Free Convection ◽  
Wavy Surface ◽  
Convection Flow ◽  
Heat Absorption ◽  
Temperature Dependent ◽  
Free Convection Flow ◽  
Temperature Dependent Thermal Conductivity

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 Joule heating and MHD free convection flow along a vertical wavy surface with viscosity and thermal conductivity dependent on temperature

2013 ◽  
Vol 10 (2) ◽  
pp. 81-98 ◽  
Author(s):  
Nazma Parveen ◽  
Md. Abdul Alim
Keyword(s):  
Heat Transfer ◽  
Thermal Conductivity ◽  
Friction Coefficient ◽  
Free Convection ◽  
Skin Friction ◽  
Joule Heating ◽  
Skin Friction Coefficient ◽  
Wavy Surface ◽  
Convection Flow ◽  
Free Convection Flow

A numerical study is conducted to analyze the effect of Joule heating and MHD (magnetohydrodynamic) free convection flow and heat transfer along a uniformly heated vertical wavy surface with temperature dependent variable viscosity and thermal conductivity. The governing boundary layer equations with associated boundary conditions for phenomenon are converted to non-dimensional form using the appropriate transformations. The resulting nonlinear system of partial differential equations are mapped into the domain of a vertical flat plate and solved numerically by employing implicit finite difference method, known as the Keller-box scheme. The behavior of the fluid in the ranges of Joule heating parameter (0.0–2.0), viscosity parameter (0.0–20.0) and thermal conductivity parameter (0.0 –10.0) are explained in details. It is found that the flow and temperature fields are strongly dependent on the above stated parameters for the ranges considered. The skin friction coefficient and the rate of heat transfer are also presented. The skin friction coefficient and the heat transfer for different values of Prandtl number Pr are compared with previously published work and are found to be in excellent agreement.DOI: http://dx.doi.org/10.3329/jname.v10i2.11707

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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