Nanofluid flow and heat transfer in a Brinkman porous channel with variable porosity |
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Authors: | Shirley Abelman Amir Basiri Parsa Habib-Olah Sayehvand |
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Institution: | 1. School of Computer Science and Applied Mathematics and DST-NRF Centre of Excellence in Mathematical and Statistical Sciences, University of the Witwatersrand, Johannesburg, Private Bag 3, Wits 2050, South AfricaShirley.Abelman@wits.ac.za;3. Mechanical Engineering Department, Engineering Faculty of Bu-Ali Sina University, Hamedan, Iran. E-Mail amirbparsa@yahoo.com;4. Mechanical Engineering Department, Engineering Faculty of Bu-Ali Sina University, Hamedan, Iran. E-Mail hsayeh@basu.ac.ir |
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Abstract: | The problem of forced convection in a channel filled with a nanofluidsaturated porous medium is investigated, numerically. A finite difference Computational Fluid Dynamics (CFD) model with structured uniform grid system is employed to solve the momentum and energy equations. In modeling flow in the channel, the effects of flow inertia, variable porosity and Brinkman friction are taken into account. Studies are carried out for different nanoparticles with different volume fractions in the range 0%-4% and different nanoparticle diameters. Comparison made between our numerical and semi analytical Differential Transform Method (DTM) results with those in previous published research is found to be appropriate. Results show that increasing either nanoparticls volume fraction or pressure gradient parameter improves heat transfer. Further, for large quantities of nanoparticle concentration and pressure gradient, the channeling phenomenon is intensified. |
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Keywords: | 65L10 76A05 35Q35 |
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