Analytical analysis of the dual-phase-lag model of bio-heat transfer with pulse boundary heat flux on skin tissue

ABSTRACT

The evolution of thermal response in the biological tissue is very important to the effective medical treatment processes. The purpose of this work is to seek an analytical method to solve the transient bio-heat transfer problem. The governing equations with the pulse boundary heat flux on skin tissue are first proposed in the context of the dual-phase-lag model (DPL model). An analytical procedure, based on Laplace transform technique and its limit theorem, is then introduced to solve these equations analytically. The exact solution of the temperature distribution is finally obtained and is used to reveal the temporal and spatial effects on the transient heat transfer through skin tissues. The thermal damage is further studied and some evaluation is also conducted by comparing with the results from the classical Pennes model of bio-heat transfer (PMBHT).

KEYWORDS:

• Skin tissue
• bio-heat transfer
• dual-phase-lag
• Laplace transform
• thermal damage

Acknowledgements

This work was supported by the National Science Foundation of China under Grant [Nos. 51575247, 51676086].

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was supported by the National Natural Science Foundation of China [grant numbers 51676086, 51575247].