FEM APPROACH TO ONE DIMENSIONAL UNSTEADY STATE TEMPERATURE DISTRIBUTION IN HUMAN DERMAL PARTS WITH QUADRATIC SHAPE FUNCTIONS

  • Gurung, D. B. (Department of Natural Sciences (Mathematics), School of Science, Kathmandu University) ;
  • Saxena, V. P. (Advisor Research and Development, Anand Engineering College) ;
  • Adhikary, P. R. (Department of Natural Sciences (Mathematics), School of Science, Kathmandu University)
  • 발행 : 2009.01.31

초록

This paper presents a Finite Element Method (FEM) application to thermal study of natural three layers of human dermal parts of varying properties. This paper carries out investigation of temperature distributions in these layers namely epidermis, dermis and under lying tissue layer. It is assumed that the outer skin is exposed to atmosphere and the loss of heat due to convection, radiation and evaporation of water have also been taken into account. The computations are carried out for one dimensional unsteady state case and the shape functions in dermal parts have been considered to be quadratic. A Finite Element scheme that uses the Crank-Nicolson method is used to solve the problem and the results computed have been exhibited graphically.

키워드

참고문헌

  1. K. N. Chao, J. G. Eisley and W. J. Yang, Heat and water migration in the regional skin and subcutaneous tissue, Bio. Mech. Sympo. ASME (1973), 69-72.
  2. K. N. Chao and W. J. Yang, Response of skin and tissue in sauna and steam baths, Bio.Mech. Sympo. ASME (1975), 69-71.
  3. T. E. Cooper and G. J. Trezek, A probe technique for determining the thermal conductivity of tissue, J. Heat Transfer, ASME 94(1972), 133-140. https://doi.org/10.1115/1.3449883
  4. G. E. Myers, Analytic methods in conduction heat transfer, Book CO. Inc., New York, Mc. Graw Hill, 1971, 320-362.
  5. A. M. Patterson, Measurement of temperature profiles in human skin, South African J.Sci. 72(1976), 78-79.
  6. W. Perl, Heat and matter distribution in body tissues and the determination of tissue blood flow by local clearance method, J.Theor. Biology 2(1962), 201-235. https://doi.org/10.1016/0022-5193(62)90025-5
  7. V. P. Saxena, Temperature distribution in human skin and subdermal tissues, J. Theor.Biology 102(1983), 277-286. https://doi.org/10.1016/0022-5193(83)90365-X
  8. V. P. Saxena, D. Arya and J. S. Bindra, Transient Heat flow problem in dermal and subdermal tissues, Indian Journal of Technology 24(1986), 71-75.
  9. V. P. Saxena and J. S. Bindra, Quadratic shape functions in variational finite element approach to heat distribution in cutaneous and subcutaneous tissues, Indian J.Pure. Appl.Math. 18(1987), No. 9, 846-855.
  10. V. P. Saxena, K. R. Pardasani and R. Agrawal, Unsteady sate heat flow in epidermis and dermis of a human body, Proc. Indian Acad. (Math Sci.) 98(1988), No.1, 71-80.
  11. V. P. Saxena, P. R. Adhikary and D. B. Gurung, Quadratic shape function FEM approach to temperature distribution problem in peripheral layers of human body, Bulletin of the Allahabad Mathematical Society 22(2007), 21-36.