Determining the optimal parameters for the MHD flow and heat transfer with variable viscosity and Hall effect

2018 ◽  
Vol 76 (6) ◽  
pp. 1338-1355 ◽  
Author(s):  
Cansu Evcin ◽  
Ömür Uğur ◽  
Münevver Tezer-Sezgin
Open Physics ◽  
2013 ◽  
Vol 11 (12) ◽  
Author(s):  
Xiaohong Su ◽  
Liancun Zheng

AbstractThis paper deals with the boundary layer flow and heat transfer of nanofluids over a stretching wedge with velocity-slip boundary conditions. In this analysis, Hall effect and Joule heating are taken into consideration. Four different types of water-base nanofluids containing copper (Cu), silver (Ag), alumina (Al2O3), and titania (TiO2) nanoparticles are analyzed. The partial differential equations governing the flow and temperature fields are converted into a system of nonlinear ordinary differential equations using a similarity transformation. The resulting similarity equations are then solved by using the shooting technique along with the fourth order Runge-Kutta method. The effects of types of nanoparticles, the volume fraction of nanoparticles, the magnetic parameter, the Hall parameter, the wedge angle parameter, and the velocityslip parameter on the velocity and temperature fields are discussed and presented graphically, respectively.


2009 ◽  
Vol 87 (10) ◽  
pp. 1065-1071 ◽  
Author(s):  
Mostafa A.A. Mahmoud ◽  
Ahmed M. Megahed

The present paper is concerned with the study of variable viscosity and variable thermal conductivity on the flow and heat transfer of an electrically conducting non-Newtonian power-law fluid within a thin liquid film over an unsteady stretching sheet in the presence of a transverse magnetic field. The transformed system of nonlinear ordinary differential equations describing the problem is solved numerically. The effects of various parameters on the velocity and temperature profiles are shown through graphs and discussed. The values of the local skin-friction coefficient and the local Nusselt number for different values of physical parameters are presented through tables.


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