| One-dimensional unsteady general solution for Wang bioheat transfer equation with heat source proportional to temperature |
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| 引用本文： | GOU Chenhu,CAI Ruixian. One-dimensional unsteady general solution for Wang bioheat transfer equation with heat source proportional to temperature[J]. 自然科学进展(英文版), 2006, 16(7): 766-768. DOI: 10.1080/10020070612330066 |
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| 作者姓名： | GOU Chenhu CAI Ruixian |
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| 作者单位： | 1. Institute of Engineering Thermophysics, Chinese Academy of Sciences, Beijing 100080, China; 2. Graduate School, Chinese Academy of Sciences, Beijing 100080, China |
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| 基金项目： | 中国科学院资助项目;国家重点基础研究发展计划(973计划) |
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| 摘 要： | An analytical general solution is derived for the non-Fourier Wang bioheat transfer model with special internal heat production. It is valuable for finding the special solutions with specified conditions and for expanding the understanding of the non-Fourier heat conduction phenomena in living tissues, for example, the controversial temperature fluctuation effects. This analytical solution can also be used as the benchmark solution to check the numerical calculations and to develop various numerical computational approaches. Because there is an arbitrary function in the expression of internal heat production, this solution can actually be applied to many types of internal heat production distributions.
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| 关 键 词： | bioheat transfer model non-fourier effect analytical solution |
One-dimensional unsteady general solution for Wang bioheat transfer equation with heat source proportional to temperature |
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| GOU Chenhua,CAI Ruixian. One-dimensional unsteady general solution for Wang bioheat transfer equation with heat source proportional to temperature[J]. Progress in Natural Science, 2006, 16(7): 766-768. DOI: 10.1080/10020070612330066 |
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| Authors: | GOU Chenhua CAI Ruixian |
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| Affiliation: | 1. Institute of Engineering Thermophysics, Chinese Academy of Sciences, Beijing 100080, China;Graduate School, Chinese Academy of Sciences, Beijing 100080, China
2. Institute of Engineering Thermophysics, Chinese Academy of Sciences, Beijing 100080, China |
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| Abstract: | An analytical general solution is derived for the non-Fourier Wang bioheat transfer model with special internal heat production. It is valuable for finding the special solutions with specified conditions and for expanding the understanding of the non-Fourier heat conduction phenomena in living tissues, for example, the controversial temperature fluctuation effects. This analytical solution can also be used as the benchmark solution to check the numerical calculations and to develop various numerical computational approaches. Because there is an arbitrary function in the expression of internal heat production, this solution can actually be applied to many types of internal heat production distributions. |
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| Keywords: | bioheat transfer model non-fourier effect analytical solution |
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