TAYLOR COLLOCATION SOLUTION OF CHANGEABLE MHD FREE CONVECTIVE FLOW AND HEAT TRANSFER ALONG A VERTICAL POROUS PLATE WITH VARIABLE SUCTION AND INTERNAL HEAT GENERATION

2016 ◽  
Vol 3 (02) ◽  
Keyword(s):  
Heat Transfer ◽  
Heat Generation ◽  
Convective Flow ◽  
Porous Plate ◽  
Internal Heat ◽  
Internal Heat Generation ◽  
Free Convective Flow ◽  
Vertical Porous Plate ◽  
Flow And Heat Transfer ◽  
Collocation Solution

scholarly journals Effect of Internal Heat Generation/Absorption on Dusty Fluid Flow over an Exponentially Stretching Sheet with Viscous Dissipation

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
G. M. Pavithra ◽  
B. J. Gireesha
Keyword(s):  
Heat Transfer ◽  
Differential Equations ◽  
Viscous Dissipation ◽  
Heat Generation ◽  
Internal Heat ◽  
Internal Heat Generation ◽  
Heat Transfer Analysis ◽  
Dusty Fluid ◽  
Flow And Heat Transfer ◽  
Exponentially Stretching

A numerical analysis has been carried out to describe the boundary layer flow and heat transfer of a dusty fluid over an exponentially stretching surface in the presence of viscous dissipation and internal heat generation/absorption. The governing partial differential equations are reduced to nonlinear ordinary differential equations by a similarity transformation, before being solved numerically by Runge-Kutta-Fehlberg 45 method. The heat transfer analysis has been carried out for both PEST and PEHF cases. The numerical results are compared with the earlier study and found to be in excellent agreement. Some important features of the flow and heat transfer in terms of velocities and temperature distributions for different values of the governing parameters like fluid-particle interaction parameter, Prandtl number, Eckert number, Number density, heat source/sink parameter, and suction parameter which are of physical and engineering interests are analyzed, discussed, and presented through tables and graphs.

Unsteady convective flow past an exponentially accelerated infinite vertical porous plate with Newtonian heating and viscous dissipation

2014 ◽  
Vol 24 (5) ◽  
pp. 1109-1123 ◽  
Author(s):  
V. Rajesh ◽  
Ali J. Chamkha
Keyword(s):  
Heat Transfer ◽  
Prandtl Number ◽  
Convective Flow ◽  
Porous Plate ◽  
Skin Friction Coefficient ◽  
Newtonian Heating ◽  
Free Convective Flow ◽  
Suction Parameter ◽  
Content Type ◽  
Vertical Porous Plate

Purpose – The purpose of this paper is to consider unsteady free convection flow of a dissipative fluid past an exponentially accelerated infinite vertical porous plate in the presence of Newtonian heating and mass diffusion. Design/methodology/approach – The problem is governed by coupled non-linear partial differential equations with appropriate boundary conditions. A Galerkin finite element numerical solution is developed to solve the resulting well-posed two-point boundary value problem. It is a powerful, stable technique which provides excellent convergence and versatility in accommodating coupled systems of ordinary and partial differential equations. Findings – It is found that the skin friction coefficient increases with increases in either of the Eckert number, thermal Grashof number, mass Grashof number or time whereas it decreases with increases in either of the suction parameter, Schmidt number or the acceleration parameter for both air and water. The skin friction coefficient is also found to decrease with increases in the values of the Prandtl number. In addition, it is found that the rate of heat transfer increases with an increase in the suction parameter and decreases with an increase in the Eckert number for both air and water. Lastly, it is found that the rate of heat transfer increases with increasing values of the Prandtl number and decreases with increasing time for all values of the Prandtl number. Research limitations/implications – The present study has considered only Newtonian fluids. Future studies will address non-Newtonian liquids. Practical implications – A very useful source of information for researchers on the subject of free convective flow over the surface when the rate of heat transfer from the surface is proportional to the local surface temperature. Originality/value – This paper is relatively original and illustrates the effects of viscous dissipation on free convective flow past an exponentially accelerated infinite vertical porous plate with Newtonian heating and mass diffusion.

Sign in / Sign up

Export Citation Format

Share Document