scholarly journals Non-Newtonian Power-Law Fluid Flow and Heat Transfer over a Non-Linearly Stretching Surface

2012 ◽  
Vol 03 (05) ◽  
pp. 425-435 ◽  
Author(s):  
Kerehalli Vinayaka Prasad ◽  
Seetharaman Rajeswari Santhi ◽  
Pampanna Somanna Datti
Keyword(s):  
Heat Transfer ◽  
Fluid Flow ◽  
Power Law ◽  
Stretching Surface ◽  
Power Law Fluid ◽  
Flow And Heat Transfer

Non-Newtonian power-law fluid flow and heat transfer computation across a pair of confined elliptical cylinders in the line array

2012 ◽  
Vol 171-172 ◽  
pp. 67-82 ◽  
Author(s):  
Amir Nejat ◽  
Ehsan Mirzakhalili ◽  
Abbas Aliakbari ◽  
Mohammad S. Fallah Niasar ◽  
Koohyar Vahidkhah
Keyword(s):  
Heat Transfer ◽  
Fluid Flow ◽  
Power Law ◽  
Power Law Fluid ◽  
Flow And Heat Transfer ◽  
Line Array ◽  
Elliptical Cylinders

scholarly journals Magneto-Hydro Dynamic Flow and Heat Transfer of Nonnewtonian Power-Law Fluid Over a Non-Linear Stretching Surface with Viscous Dissipation

2014 ◽  
Vol 19 (2) ◽  
pp. 259-273 ◽  
Author(s):  
N. Kishan ◽  
P. Kavitha
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Power Law ◽  
Transverse Magnetic ◽  
Stretching Surface ◽  
Power Law Fluid ◽  
Flow And Heat Transfer ◽  
Non Linear

Abstract A fluid flow and heat transfer analysis of an electrically conducting non-Newtonian power law fluid flowing over a non-linear stretching surface in the presence of a transverse magnetic field taking into consideration viscous dissipation effects is investigated. The stretching velocity, the temperature and the transverse magnetic field are assumed to vary in a power-law with the distance from the origin. The flow is induced due to an infinite elastic sheet which is stretched in its own plane. The governing equations are reduced to non-linear ordinary differential equations by means of similarity transformations. By using quasi-linearization techniques first linearize the non linear momentum equation is linearized and then the coupled ordinary differential equations are solved numerically by an implicit finite difference scheme. The numerical solution is found to be dependent on several governing parameters, including the magnetic field parameter, power-law index, Eckert number, velocity exponent parameter, temperature exponent parameter, modified Prandtl number and heat source/sink parameter. A systematic study is carried out to illustrate the effects of these parameters on the fluid velocity and the temperature distribution in the boundary layer. The results for the local skin-friction coefficient and the local Nusselt number are tabulated and discussed.

Lie group analysis of hydromagnetic flow and heat transfer of a power-law fluid over stretching surface with temperature-dependent viscosity and thermal conductivity

2016 ◽  
Vol 27 (12) ◽  
pp. 1650150 ◽  
Author(s):  
Mohamed Abd El-Aziz ◽  
Ahmed A. Afify
Keyword(s):  
Heat Transfer ◽  
Thermal Conductivity ◽  
Power Law ◽  
Variable Viscosity ◽  
Group Analysis ◽  
Integration Scheme ◽  
Stretching Surface ◽  
Power Law Fluid ◽  
Temperature Dependent Viscosity ◽  
Flow And Heat Transfer

The symmetry group of MHD boundary layer flow and heat transfer of a non-Newtonian power-law fluid over a stretching surface under the effects of variable fluid properties is investigated. The similarity equations with the corresponding boundary conditions are solved numerically by using a shooting method with the fourth order Runge–Kutta integration scheme. Comparisons of the numerical method with the existing results in the literature are made and obtained an excellent agreement. It is observed that the heat transfer rate diminishes with an increase in magnetic parameter and variable thermal conductivity parameter. Further, the opposite influence is found with an increase in variable viscosity parameter.

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