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恒热流作用下皮肤组织双时滞双温度生物传热的精确解析解。

The exact analytical solution of the dual-phase-lag two-temperature bioheat transfer of a skin tissue subjected to constant heat flux.

机构信息

Mechanical Engineering Department, College of Engineering and Islamic Architecture, Umm Al-Qura University, Mecca, Saudi Arabia.

Department of Mathematics, Faculty of Applied Science, Umm Al-Qura University, Mecca, Saudi Arabia.

出版信息

Sci Rep. 2020 Sep 29;10(1):15946. doi: 10.1038/s41598-020-73086-0.

DOI:10.1038/s41598-020-73086-0
PMID:32994496
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7524741/
Abstract

This work is dealing with the temperature reaction and response of skin tissue due to constant surface heat flux. The exact analytical solution has been obtained for the two-temperature dual-phase-lag (TTDPL) of bioheat transfer. We assumed that the skin tissue is subjected to a constant heat flux on the bounding plane of the skin surface. The separation of variables for the governing equations as a finite domain is employed. The transition temperature responses have been obtained and discussed. The results represent that the dual-phase-lag time parameter, heat flux value, and two-temperature parameter have significant effects on the dynamical and conductive temperature increment of the skin tissue. The Two-temperature dual-phase-lag (TTDPL) bioheat transfer model is a successful model to describe the behavior of the thermal wave through the skin tissue.

摘要

这项工作研究了由于恒定表面热通量而导致的皮肤组织的温度反应和响应。已经为双温双时滞(TTDPL)生物传热获得了精确的解析解。我们假设皮肤组织受到皮肤表面边界平面上的恒定热通量的作用。采用有限域对控制方程进行变量分离。已经获得并讨论了过渡温度响应。结果表明,双时滞时间参数、热通量值和双温参数对皮肤组织的动力和传导温度增量有显著影响。双温双时滞(TTDPL)生物传热模型是描述热波通过皮肤组织行为的成功模型。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d2a8/7524741/0c67182da90b/41598_2020_73086_Fig16_HTML.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d2a8/7524741/54edd57e0149/41598_2020_73086_Fig15_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d2a8/7524741/0c67182da90b/41598_2020_73086_Fig16_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d2a8/7524741/4879fefa7fcd/41598_2020_73086_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d2a8/7524741/fe4273e4c67e/41598_2020_73086_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d2a8/7524741/013bdb16505b/41598_2020_73086_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d2a8/7524741/5b4bcbb07030/41598_2020_73086_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d2a8/7524741/a12d0240b36a/41598_2020_73086_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d2a8/7524741/4a6ebf58f097/41598_2020_73086_Fig6_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d2a8/7524741/e66eddea7712/41598_2020_73086_Fig7_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d2a8/7524741/bf6adc5c3fdb/41598_2020_73086_Fig8_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d2a8/7524741/9c708d9d4322/41598_2020_73086_Fig9_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d2a8/7524741/06ed957213c2/41598_2020_73086_Fig10_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d2a8/7524741/371b986c933e/41598_2020_73086_Fig11_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d2a8/7524741/397c67325ebe/41598_2020_73086_Fig12_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d2a8/7524741/b18687f92bf3/41598_2020_73086_Fig13_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d2a8/7524741/289a85835bad/41598_2020_73086_Fig14_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d2a8/7524741/54edd57e0149/41598_2020_73086_Fig15_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d2a8/7524741/0c67182da90b/41598_2020_73086_Fig16_HTML.jpg

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