Heat transport properties within living biological tissues with temperature-dependent thermal properties

doi:10.1088/1674-1056/ac6b29

Abstract Understanding of the heat transport within living biological tissues is crucial to effective heat treatments. The heat transport properties of living biological tissues with temperature-dependent properties are explored in this paper. Taking into account of variable physical properties, the governing equation of temperature is first derived in the context of the dual-phase-lags model (DPL). An effective method, according to the Laplace transform and a linearization technique, is then employed to solve this nonlinear governing equation. The temperature distribution of a biological tissue exposed to a pulsed heat flux on its exterior boundary, which frequently happens in various heat treatments, is predicted and analyzed. The results state that a lower temperature can be predicted when temperature dependence is considered in the heating process. The contributions of key thermal parameters are different and dependent on the ratio of phase lag and the amplitude of the exterior pulsed heat flux.

Keywords: bio-heat transfer biological tissue temperature dependence analytical procedure

Received: 11 March 2022
Revised: 05 April 2022
Accepted manuscript online: 28 April 2022

PACS:	44.10.+i	(Heat conduction)
	87.55.dh	(Tissue response)

Fund: Project supported by the National Science Foundation of China (Grant Nos. 51676086 and 51575247).

Corresponding Authors: Ying-Ze Wang
E-mail: wyz3701320@ujs.edu.cn

Cite this article:

Ying-Ze Wang(王颖泽), Xiao-Yu Lu(陆晓宇), and Dong Liu(刘栋) Heat transport properties within living biological tissues with temperature-dependent thermal properties 2023 Chin. Phys. B 32 014401

[1] Liu K C and Chen T M 2021 J. Therm. Biol. 98 102907
[2] Anderozzi A, Brunese L, Iasiello M and Tucci C 2019 Ann. Biomed. Eng. 47 676
[3] Matrin N A and Falder S 2017 Burn 43 1624
[4] Sahoo N, Ghosh S, Narasimhan A and Das S K 2014 Int. J. Therm. Sci. 76 208
[5] Xu F, Lu T J and Seffen K A 2008 J. Mech. Phys. Solids 56 1852
[6] Xu F, Seffen K A and Lu T J 2008 Int. J. Heat Mass Tran. 51 2237
[7] Pennes H H 1948 J. Appl. Physiol. 1 93
[8] Roemer R B, Oleson J R and Cetas T C 1985 American Journal of Physiology 249 R153
[9] Mitra K, Kumar S, Vedavarz A and Moallemi M K 1995 J. Heat Trans-T ASME 117 568
[10] Cattaneo C 1958 Compte Rendus 247 431
[11] Vernotte P 1958 Compte Rendus 246 3154
[12] Tzou T Y 1995 J. Heat Trans. T. ASME 117 8
[13] Zhang Y W 2009 Int. J. Heat Mass Tran. 52 4829
[14] Lin S M and Li C Y 2016 Int. J. Therm. Sci. 110 146
[15] Liu K C 2015 Int. J. Heat. Mass Tran. 81 347
[16] Liu K C, Wang Y and Chen Y 2010 Int. J. Therm. Sci. 49 1138
[17] Liu J, Chen X and Xu L L 1999 IEEE T. Bio-Med. Eng. 46 420
[18] Dutta J and Kundu B 2018 Heat Mass Transfer 54 3199
[19] Liu K C and Chen Y S 2016 Int. J. Therm. Sci. 103 1
[20] Liu K C and Chen H T 2015 Int. Commun. Heat Mass 65 31
[21] Zhang Z W, Wang H and Qin Q H 2014 J. Mech. Med. Biol. 14 1450060
[22] Kumar D, Singh S, Sharma N and Rai K N 2018 Int. J. Therm. Sci. 133 320
[23] Arefmanesh A, Arani A A A and Emamifar A 2020 Int. Commun. Heat Mass 115 104596
[24] Wang Y Z, Li M J and Liu D 2021 Eur. J. Mech. A-Solid 86 104173
[25] Guntur S R, Lee K I, Paeng D G, Coleman A J and Choi M J 2013 Ultrasound Med. Biol. 39 1771
[26] Guntur S R and Choi M J 2020 Ultrasound Med. Biol. 46 1001
[27] Fu J W, Chen Z T and Qian L F 2015 Compos. Struct. 131 139
[28] Balla M 1991 Acta Mech. 89 73
[29] Wang Y Z, Zhang X B and Song X N 2012 Acta Mech. 223 735
[30] Liang W, Huang S, Tan W S and Wang Y Z 2019 Mech. Adv. Mater. Struct. 26 350
[31] Askarizadeh H and Ahmadikia H 2014 Heat Mass Transfer 50 1673
[32] Askarizadeh H and Ahmadikia H 2015 Appl. Math. Model. 39 3704
[30] Hobiny A D and Abbas I A 2020 J. Therm. Stresses 43 1
[34] Wang Y Z, Zan C, Liu D and Zhou J Z 2019 Eur. J. Mech. A-Solid 76 346

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