Graded meshes in bio-thermal problems with transmission-line modeling method |
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| Institution: | 2. Department of Geography and Environmental Studies, Wilfrid Laurier University, 75 University Avenue West, Waterloo, ON, Canada N2L 3C5;3. Ontario Ministry of Agriculture, Food, and Rural Affairs, Guelph, Ontario, Canada N1G 4Y2;4. Lethbridge Research and Development Centre, Science and Technology Branch, Agriculture and Agri-Food Canada, Lethbridge, AB, Canada T1J 4B1;1. Energy Futures Lab, Imperial College London, South Kensington Campus, London SW7 2AZ, UK;2. Department of Chemical Engineering, Imperial College London, South Kensington Campus, London SW7 2AZ, UK;3. Department of Agricultural and Environmental Sciences, University of Bari, Italy |
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| Abstract: | In this study, the transmission-line modeling (TLM) applied to bio-thermal problems was improved by incorporating several novel computational techniques, which include application of graded meshes which resulted in 9 times faster in computational time and uses only a fraction (16%) of the computational resources used by regular meshes in analyzing heat flow through heterogeneous media. Graded meshes, unlike regular meshes, allow heat sources to be modeled in all segments of the mesh. A new boundary condition that considers thermal properties and thus resulting in a more realistic modeling of complex problems is introduced. Also, a new way of calculating an error parameter is introduced. The calculated temperatures between nodes were compared against the results obtained from the literature and agreed within less than 1% difference. It is reasonable, therefore, to conclude that the improved TLM model described herein has great potential in heat transfer of biological systems. |
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| Keywords: | Bio-heat equation Graded mesh Pennes' equation Numerical method Transmission-line modeling |
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