Volume 19, Issue 3 (2019)                   Modares Mechanical Engineering 2019, 19(3): 697-708 | Back to browse issues page

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Karami F, Sabzpooshani M. Analytical Investigation of MHD Nanofluid Flow between Non-Parallel Stretching/Shrinking Walls with Considering Joule Heating Effect. Modares Mechanical Engineering. 2019; 19 (3) :697-708
URL: http://journals.modares.ac.ir/article-15-22721-en.html
1- Heat & Fluid Department, Mechanical Engineering Faculty, University of Kashan, Kashan, Iran
2- Heat & Fluid Department, Mechanical Engineering Faculty, University of Kashan, Kashan, Iran , spooshan@kashanu.ac.ir
Abstract:   (354 Views)
The aim of this research is an analytical investigation of heat and mass transfer for the MHD nanofluid flow passed between non-parallel stretchable/shrinkable walls. In order to model nanofluid flow, effects of Thermophoresis, Brownian diffusion, and Joule heating are considered. The governing mass, momentum, and energy equations are solved analytically by applying Duan-Rach method, which caused to get a solution for the undetermined coefficients from conjectured profiles of variables without using numerical methods. Comparison between the current results with the numerical results of other references shows good agreement. The effects of the Reynolds number, opening angle parameter, and the Hartman number on the temperature, velocity, and concentration profiles have been investigated in the case of both convergent and divergent plates, either stretched or shrunk. Also, the effects of the Thermophoretic and Brownian parameters on the Nusselt number are obtained. This study indicates that increasing the Hartman number decreases the concentration profile and increasing in the temperature profile for divergent channels. In this case, as the opening angle parameter rises, the thickness of the thermal boundary layer increases. Also, for convergent and divergent channels, the increase in the thermophoretic parameter causes increases the Nusselt number. By applying an identical magnetic field to two divergent stretching and shrinking channels, the concentration profile in the stretching channel is more than the shrinking one. For convergent channels, this treatment of concentration profile is completely vice versa.
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Received: 2018/07/4 | Accepted: 2018/11/7 | Published: 2019/03/1

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