Effect of Thermal Radiation on MHD Flow with Variable Viscosity and Thermal Conductivity Over a Stretching Sheet in Porous Media

2017 ◽  
Vol 6 (2) ◽  
pp. 292-299
Author(s):  
P. Srinivasa Rao ◽  
B. Kumbhakar ◽  
B. V. Rathish Kumar
2021 ◽  
Vol 10 (1) ◽  
pp. 128-145
Author(s):  
Amala Olkha ◽  
Amit Dadheech

The unsteady MHD flow of Powell-Eyring fluid with microorganisms due to permeable extending surface which is also inclined, embedded in porous media is acknwledged. We have considered variable fluid property such as variable viscosity, thermal conductivity. For this perspective relevant transformations are exercised to reduce the governing PDE’s corresponding to momentum energy, mass and microorganisms’ profiles to system of ODE’s which are of non-linear nature and are numerically evaluated by MATLAB algorithm using Runge-kutta technique. Tabular annotations including pictorial presentations are comprehensively used to analyse effects caused by physical parameters concerning velocity, energy, mass and microorganisms.The present analysis focuses the study of unsteady MHD slip flow of Powell-Eyring fluid with microorganisms over an inclined permeable stretching sheet with slip conditions which is not avalaible in open literature beforehand. Rising unsteady parameter (A) decreases skin friction coefficient and reverse impact is shown on local Sherwood, Nusselt, and motile microorganisms’ number.


2010 ◽  
Vol 15 (3) ◽  
pp. 257-270 ◽  
Author(s):  
M. M. M. Abdou

A numerical model is developed to study the effect of thermal radiation on unsteady boundary layer flow with temperature dependent viscosity and thermal conductivity due to a stretching sheet in porous media. The Rosseland diffusion approximation is used to describe the radiative heat flux in the energy equation. The governing equations reduced to similarity boundary layer equations using suitable transformations and then solved using the Runge–Kutta numerical integration, procedure in conjunction with shooting technique. A parametric study illustrating the influence of the radiation R, variable viscosity ε, Darcy number Da, porous media inertia coefficient γ, thermal conductivity κ and unsteady A parameters on skin friction and Nusselt number.


2011 ◽  
Vol 15 (suppl. 2) ◽  
pp. 195-204 ◽  
Author(s):  
Chandra Shit ◽  
Raju Haldar

Of concern in this paper is an investigation of the combined effects of thermal radiation and Hall current on momentum, heat and mass transfer in laminar boundary-layer flow over an inclined permeable stretching sheet with variable viscosity. The sheet is linearly stretched in the presence of an external magnetic field and the fluid motion is subjected to a uniform porous medium. The effect of internal heat generation/absorption is also taken into account. The fluid viscosity is assumed to vary as an inverse linear function of temperature. The boundary-layer equations that governing the flow problem have reduced to a system of non-linear ordinary differential equations with a suitable similarity transformation. Then the transformed equations are solved numerically by employing a finite difference scheme. Thus the results obtained are presented graphically for the various parameters of interest.


Author(s):  
Musa Antidius Mjankwi ◽  
Verdiana Grace Masanja ◽  
Eunice W. Mureithi ◽  
Makungu Ng’oga James

The unsteady magnetohydrodynamics (MHD) flow of nanofluid with variable fluid properties over an inclined stretching sheet in the presence of thermal radiation and chemical reaction is studied taking into account the effect of variable fluid properties in thermal conductivity and diffusion coefficient. The governing partial differential equations are transformed into ordinary differential equations by using similarity transformation. The numerical solutions of the problem are obtained by using the fourth order Runge-Kutta method in line with the shooting technique. It is found that the increase in both thermal conductivity and radiative heat flux decreases the heat transfer rate but increases the skin friction and mass transfer rates. It is further observed that the increase in porosity parameter and magnetic field reduces the skin friction, heat, and mass transfer rates.


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