An analytical solution to the heat transfer problem in thick-walled hunt flow |
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| Institution: | 1. Department of ECE, Thiagarajar College of Engineering, Madurai 15, Tamilnadu, India;2. Best Dental Science College, Madurai 15, Tamilnadu, India;3. Mepco Schlenk Engineering College, Sivakasi, Tamilnadu, India;4. Kamaraj College of Engineering and Technology, Virudhunagar, Tamilnadu, India;1. UR: Matériaux, Nanomatériaux et Ecosystèmes, Faculté des Sciences de Bizerte, Université de Carthage, Tunisia;2. MARE – Marine and Environmental Sciences Centre, Faculdade de Ciências, Universidade de Lisboa, Campo Grande, 1749-016 Lisboa, Portugal;1. Department of Chemical and Biological Engineering, University of Saskatchewan, Saskatoon, Saskatchewan, S7N 5A9, Canada;2. Canadian Light Source, Saskatoon, Saskatchewan, S7N 2V3, Canada;3. College of Environmental Science and Engineering, Taiyuan University of Technology, Taiyuan, Shanxi, 030024, China;1. Department of Biology, Faculty of Sciences, Autonomous University of Madrid, Spain;2. Department of Microbiology, Faculty of Biological Sciences, Complutense University of Madrid, Spain;3. Department of Zoology and Physical Anthropology, Faculty of Biological Sciences, Complutense University of Madrid, Spain;4. Research Group for Nutritional Epidemiology (EPINUT-UCM), Faculty of Medicine, Complutense University of Madrid, Spain;5. Technical Department, Action Against Hunger (ACF-Spain), Madrid, Spain;6. University Institute of Environmental Sciences, Complutense University of Madrid, Spain |
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| Abstract: | The flow of a liquid metal in a rectangular duct, subject to a strong transverse magnetic field is of interest in a number of applications. An important application of such flows is in the context of coolants in fusion reactors, where heat is transferred to a lead-lithium eutectic. It is vital, therefore, that the heat transfer mechanisms are understood. Forced convection heat transfer is strongly dependent on the flow profile. In the hydrodynamic case, Nusselt numbers and the like, have long been well characterised in duct geometries. In the case of liquid metals in strong magnetic fields (magnetohydrodynamics), the flow profiles are very different and one can expect a concomitant effect on convective heat transfer. For fully developed laminar flows, the magnetohydrodynamic problem can be characterised in terms of two coupled partial differential equations. The problem of heat transfer for perfectly electrically insulating boundaries (Shercliff case) has been studied previously (Bluck et al., 2015). In this paper, we demonstrate corresponding analytical solutions for the case of conducting hartmann walls of arbitrary thickness. The flow is very different from the Shercliff case, exhibiting jets near the side walls and core flow suppression which have profound effects on heat transfer. |
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