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A mathematical model for skin burn injury induced by radiation heating

Publication ,  Journal Article
Dai, W; Wang, H; Jordan, PM; Mickens, RE; Bejan, A
Published in: International Journal of Heat and Mass Transfer
November 1, 2008

We modify the Pennes model by taking into account the thermal relaxation time of biological tissue. Specifically, we employ the Maxwell-Cattaneo thermal flux law, in conjunction with the fourth power law, to model the effects of high thermal radiation on such skin. The skin is considered to be a 3D triple-layered structure with embedded dendritic countercurrent multi-level blood vessels, artery and vein, where the dimensions and blood flow of the multi-level blood vessels are determined based on the constructal theory of multi-scale tree-shaped heat exchangers. The method is illustrated by a numerical example. © 2008 Elsevier Ltd. All rights reserved.

Duke Scholars

Published In

International Journal of Heat and Mass Transfer

DOI

ISSN

0017-9310

Publication Date

November 1, 2008

Volume

51

Issue

23-24

Start / End Page

5497 / 5510

Related Subject Headings

  • Mechanical Engineering & Transports
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Dai, W., Wang, H., Jordan, P. M., Mickens, R. E., & Bejan, A. (2008). A mathematical model for skin burn injury induced by radiation heating. International Journal of Heat and Mass Transfer, 51(23–24), 5497–5510. https://doi.org/10.1016/j.ijheatmasstransfer.2008.01.006
Dai, W., H. Wang, P. M. Jordan, R. E. Mickens, and A. Bejan. “A mathematical model for skin burn injury induced by radiation heating.” International Journal of Heat and Mass Transfer 51, no. 23–24 (November 1, 2008): 5497–5510. https://doi.org/10.1016/j.ijheatmasstransfer.2008.01.006.
Dai W, Wang H, Jordan PM, Mickens RE, Bejan A. A mathematical model for skin burn injury induced by radiation heating. International Journal of Heat and Mass Transfer. 2008 Nov 1;51(23–24):5497–510.
Dai, W., et al. “A mathematical model for skin burn injury induced by radiation heating.” International Journal of Heat and Mass Transfer, vol. 51, no. 23–24, Nov. 2008, pp. 5497–510. Scopus, doi:10.1016/j.ijheatmasstransfer.2008.01.006.
Dai W, Wang H, Jordan PM, Mickens RE, Bejan A. A mathematical model for skin burn injury induced by radiation heating. International Journal of Heat and Mass Transfer. 2008 Nov 1;51(23–24):5497–5510.
Journal cover image

Published In

International Journal of Heat and Mass Transfer

DOI

ISSN

0017-9310

Publication Date

November 1, 2008

Volume

51

Issue

23-24

Start / End Page

5497 / 5510

Related Subject Headings

  • Mechanical Engineering & Transports
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences