Joule Heating Effects of the Coupling Conduction on MHD Free Convection Flow along a Vertical Flat Plate with Heat Generation

2017 ◽  
Vol 7 (3) ◽  
pp. 1-14
Author(s):  
Md Alam ◽  
Md Hossain ◽  
M Parvez ◽  
M Rahman
2011 ◽  
Vol 7 (1) ◽  
pp. 27-36
Author(s):  
Rehena Nasrin ◽  
Md. Abdul Alim

The effects of variable thermal conductivity on the coupling of conduction and Joule heating with MHD free convection flow along a vertical flat plate have been described by this present work. With a goal to attain similarity solutions of the problem posed, the developed equations are made dimensionless by using suitable transformations. The non-dimensional equations are then transformed into non-linear equations by introducing a non- similarity transformation. The resulting non-similar equations together with their corresponding boundary conditions based on conduction and convection are solved numerically by using the implicit finite difference method along with Keller-box scheme. Numerical results for the details of the velocity profile, temperature profile, skin friction coefficient and the surface temperature profile are shown both on graphs and tabular form for different values of the set of parameters entering into the problem.DOI: 10.3329/jname.v7i1.4322 


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

Author(s):  
Sree Pradip Kumer Sarker ◽  
Md. M. Alam

Free convection flow around a heated vertical flat plate in the presence of a magnetic field is very important from the technical standpoint, and several researchers have studied this issue. The effects of variable viscosity and thermal conductivity on Magneto-Hydrodynamics (MHD) free convection flow over an isothermal vertical plate immersed in a fluid with heat conduction will be studied in this study. The two-dimensional, laminar, and unsteady boundary layer equations are considered in this paper. Using relevant variables, simple governing equations are transformed into non-dimensional governing equations. The implicit finite difference scheme, also known as the Crank-Nicolson scheme, is used to solve these equations numerically. This research looks at viscous incompressible fluids with temperature-dependent viscosity and thermal conductivity. The effect of various parameters on velocity, temperature, local skin friction, and local heat transfer coefficient profiles will be shown in this study, and the results will be compared to those of other researchers. The current numerical results will be compared to the results of previously published works. Figures from the current thesis will be compared to those from previously published works. The outcomes result will be shown in graphs for various values of relevant physical parameters.


Sign in / Sign up

Export Citation Format

Share Document