Unsteady conjugate mixed convection phase change of a power law non-Newtonian fluid in a square cavity |
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Authors: | Nelson O Moraga Marcos A Andrade Diego A Vasco |
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Affiliation: | 1. Department of Mathematics, Air University, PAF Complex E-9, Islamabad 44000, Pakistan;2. Department of Mathematics, College of Sciences, King Khalid University, Abha 61413, Saudi Arabia;3. Department of Mathematics, Research Group MASEP, College of Sciences, University of Sharjah, 27272, United Arab Emirates;4. Department of Mathematical Sciences, United Arab Emirates University, P.O. Box 15551, Al Ain, Abu Dhabi, United Arab Emirates;5. Department of Civil Engineering, College of Engineering, King Khalid University, Abha, Saudi Arabia;6. Heriot Watt University, Edinburgh Campus, Edinburgh EH14 4AS, United Kingdom;1. Department of Mathematics, National Institute of Technology Silchar, Silchar 788 010, India;2. Department of Mechanical Engineering, National Institute of Technology Silchar, Silchar 788 010, India |
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Abstract: | Transient phase change of a power law non-Newtonian fluid inside an inner thin walled container caused by external mixed convection in a square cavity has been analyzed numerically. Air was chosen as external cooling fluid and modified non-Newtonian water as the phase change fluid. Fluid mechanics and conjugate convective heat transfer, described in terms of continuity, linear momentum and energy equations, were predicted by using the finite volume method. Solidification was treated in terms of a phase change function varying linearly with temperature. The effect of the external Reynolds number, for Re = 200 and 1000 on solidification was studied along the influence of the non-Newtonian power law index (n = 0.5, n = 1.0). Results for the time evolution of streamlines, isotherms and freezing curves are analyzed. The effect of the Reynolds number on streamlines of the external fluid is remarkable, principally near the region close to the internal water filled container. Differences between cooling and freezing times are found for Newtonian (n = 1.0) and non-Newtonian modified (n = 0.5) water. |
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