Free convection flow in an inclined plate with variable thermal conductivity by scaling group transformations

2014 ◽  
Author(s):  
M. Bhuvaneswari ◽  
S. Sivasankaran
Keyword(s):  
Thermal Conductivity ◽  
Free Convection ◽  
Variable Thermal Conductivity ◽  
Convection Flow ◽  
Inclined Plate ◽  
Free Convection Flow ◽  
Scaling Group

scholarly journals Effects of variable thermal conductivity on the coupling of conduction and Joule heating with MHD free convection flow along a vertical flat plate

2011 ◽  
Vol 7 (1) ◽  
pp. 27-36
Author(s):  
Rehena Nasrin ◽  
Md. Abdul Alim
Keyword(s):  
Thermal Conductivity ◽  
Free Convection ◽  
Flat Plate ◽  
Temperature Profile ◽  
Joule Heating ◽  
Variable Thermal Conductivity ◽  
Similarity Solutions ◽  
Convection Flow ◽  
Free Convection Flow ◽  
Vertical Flat Plate

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 

Second Grade Fluid for Rotating MHD of an Unsteady Free Convection Flow in a Porous Medium

2015 ◽  
Vol 362 ◽  
pp. 100-107 ◽  
Author(s):  
Z. Ismail ◽  
I. Khan ◽  
A.Q. Mohamad ◽  
S. Shafie
Keyword(s):  
Porous Medium ◽  
Free Convection ◽  
Initial Conditions ◽  
Boussinesq Approximation ◽  
Second Grade ◽  
Convection Flow ◽  
Inclined Plate ◽  
Free Convection Flow ◽  
Transform Method ◽  
The Laplace Transform

Rotating effects and magnetohydrodynamic (MHD) free convection flow of second grade fluids in a porous medium is considered in this paper. It is assumed that the bounding infinite inclined plate has ramped wall temperature with the presence of heat and mass diffusion. Based on Boussinesq approximation, the analytical expressions for dimensionless velocity, temperature and concentration are obtained by using the Laplace transform method. All the derived solutions satisfying the involved differential equations with imposed boundary and initial conditions. The influence of various parameters on the velocity has been analyzed in graphs and discussed.

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