The effect of variable viscosity in double diffusion problem of MHD from a porous boundary with Internal Heat Generation

2011 ◽  
Vol 11 (1) ◽  
pp. 54
Author(s):  
M. Ferdows ◽  
M.Z.I. Bangalee ◽  
J.C. Crepeau ◽  
M.A. Seddeek
Keyword(s):  
Heat Generation ◽  
Variable Viscosity ◽  
Internal Heat ◽  
Double Diffusion ◽  
Diffusion Problem ◽  
Internal Heat Generation

scholarly journals Nonlinear Radiation and Variable Viscosity Effects on Free Convection of a Power-Law Nanofluid Over a Truncated Cone in Porous Media With Zero Nanoparticles Flux and Internal Heat Generation

2020 ◽  
Vol 13 (3) ◽  
Author(s):  
Chuo-Jeng Huang ◽  
Kuo-Ann Yih
Keyword(s):  
Nusselt Number ◽  
Heat Generation ◽  
Power Law ◽  
Local Nusselt Number ◽  
Variable Viscosity ◽  
Internal Heat ◽  
Lewis Number ◽  
Internal Heat Generation ◽  
Truncated Cone ◽  
Power Law Nanofluid

Abstract This study used numerical analysis to investigate the effects of nonlinear radiation and variable viscosity on free convection of a power-law nanofluid over a vertical truncated cone in porous media with Rosseland diffusion approximation considering zero nanoparticles flux and internal heat generation. The internal heat generation is of an exponential decaying form and the viscosity of the fluid is assumed to follow Reynolds viscosity model. The surface boundary conditions of vertical truncated cone is maintained at the uniform wall temperature (UWT) and the zero nanoparticle flux (ZNF) to cause the results to be more realistic and useful. The nanofluid model considered the effects of Brownian motion and thermophoresis. The nonsimilar governing equations are obtained by using a suitable coordinate transformation and then solved by Keller box method (KBM). Comparisons with previously published work obtained good agreement. Graphical and tabular presentations of numerical data for the dimensionless temperature profile and the local Nusselt number were presented for main parameters: dimensionless streamwise coordinate, thermophoresis parameter, Lewis number, radiation parameter, surface temperature parameter, viscosity parameter, power-law index of the non-Newtonian fluid, and internal heat generation coefficient. The local Nusselt number increased when the following parameters were increased: radiation parameter, surface temperature parameter, viscosity parameter, power-law index of the non-Newtonian fluid, and dimensionless streamwise coordinate. In contrast, the local Nusselt number decreased when the following parameters were increased: internal heat generation coefficient, thermophoresis parameter, and Lewis number. Besides, the physical aspects of the problem are discussed in details.

Numerical Solution for Variable Viscosity and Internal Heat Generation Effects on Boundary Layer Flow Over an Exponentially Stretching Porous Sheet with Constant Heat Flux and Thermal Radiation

2014 ◽  
Vol 30 (4) ◽  
pp. 395-402 ◽  
Author(s):  
A. M. Megahed
Keyword(s):  
Heat Flux ◽  
Heat Generation ◽  
Variable Viscosity ◽  
Internal Heat ◽  
Constant Heat Flux ◽  
Internal Heat Generation ◽  
Constant Heat ◽  
Suction Parameter ◽  
Viscosity Parameter ◽  
Exponentially Stretching

AbstractA numerical study has been carried out to analyze the constant heat flux, internal heat generation, variable viscosity and thermal radiation effects on the flow and heat transfer of a Newtonian fluid over an exponentially stretching porous sheet. Using a similarity transformation, the governing partial differential equations are transformed into coupled, non-linear ordinary differential equations with variable coefficients. Numerical solutions to these equations subject to appropriate boundary conditions are obtained by using an efficient Chebyshev spectral method. The effects of various physical parameters such as viscosity parameter, the suction parameter, the radiation parameter, internal heat generation or absorption parameter and the Prandtl number on velocity and temperature are discussed by using graphical approach. Moreover, numerical results indicate that in the presence of constant heat flux, the skin-friction coefficient as well as Nusselt number is strongly affected by the viscosity parameter, suction parameter, radiation parameter and the internal heat generation parameter.

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