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Galerkin's finite element-Laplace transform technique to transient heat migration in human skin and subcutaneous tissues

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Abstract

Galerkin's finite element-Laplace transform technique (GAFELTTE) has been used to study transient temperature distribution in human skin and subcutaneous tissues. This study incorporates heat conduction, heat carried by perfusion of blood in the capillary beds and metabolic heat generation in the tissues. Different values of various quantities have been considered in all three parts, namely epidermis, dermis and subcutaneous tissues, depending on physiological considerations. The GAFELTTE provides interface temperatures for a wide range of the values of skin surface temperatures. These values have been used to obtain temperature profiles in the region considered. Steady-state temperature distribution has been deduced from the solution obtained by GAFELTTE and has been compared with the results obtained by using different methods.

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Literature

  • Chao, K. N. and W. J. Yang. 1975. “Response of Skin and Tissue Temperature in Sauna and Steam Baths.”Biomechanics Symposium, Vol. 69. New York: American Society of Mechanical Engineers.

    Google Scholar 

  • —, J. G. Eisley and W. J. Yang. 1973. “Heat and Water Migration in Regional Skins and Subcutaneous Tissues.”Biomechanics Symposium, Vol. 69. New York: American Society of Mechanical Engineers.

    Google Scholar 

  • Connor, J. J. and C. A. Brebbia. 1977.Finite Element Technique for Fluid Flow, p. 3. London: Butterworth.

    Google Scholar 

  • Guyton, A. C. 1973.Text Book of Medical Physiology, pp. 379, 904. Philadelphia, PA: W. B. Saunders.

    Google Scholar 

  • Saxena, V. P. 1978. “Application of Similarity Transformation to Unsteady State Heat Migration Problems in Human Skin and Subcutaneous Tissues.”Proc. Int. Heat Transfer Conference, Vol. 3, p. 65.

  • — and D. Arya. 1981. “Steady State Heat Distribution in Epidermis, Dermis and Subdermal Tissues.”J. theor. Biol. 89, 423.

    Article  Google Scholar 

  • Stekette, J. and M. J. Vander Hock. 1979. “Thermal Recovery of Skin After Cooling.”Phys. Med. Biol. 24, 583.

    Article  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Punjab Agricultural University, 141004, Ludhiana, India

    S. Pal & D. S. Pal

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  1. S. Pal
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  2. D. S. Pal
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Pal, S., Pal, D.S. Galerkin's finite element-Laplace transform technique to transient heat migration in human skin and subcutaneous tissues. Bltn Mathcal Biology 48, 125–136 (1986). https://doi.org/10.1007/BF02460018

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  • DOI: https://doi.org/10.1007/BF02460018

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