Journal of Advanced Marine Engineering and Technology

The Korean Society of Marine Engineering (한국마린엔지니어링학회)
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A Numerical Study on the Phase-change Heat transfer problem in Cryosurgery

냉동수술시 수반되는 상변화 열전달 문제에 대한 수치해석적 연구

  • Published : 1996.06.01
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Abstract

A numerical study on the Stefan problem occurred in cryosurgery is performed. Crank-Nicholson type finite difference algorithm based on the enthaly method is adapted to solve the phase change problem in this study. As it is a moving boundary problem, special emphasis is put on the estimation of the freezing front location. Two cases selected here are freezings of human tissue by disk type cryoprobe and by hemispherical one. In both cases, the heat flows are considered to be one dimensional. The calculated results using enthalpy method are compared with those using the program TRUMP and with Neumann's solution. These results agree guite well with each other. While it is pretty difficult to get accurate freezing front location by TRUMP due to the so- called "phase change knee" occured during the phase change, the algorithm based on the enthalpy method is proved to be very powerful to cope with this kind of problem.f problem.

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References

  1. St. Barnabas Med. Bul. v.1 A Complete System for Cryogenic Surgery Cooper, I. S.;Grossman, F.;Johnson, P.
  2. Trans. Math. Monograph no.27 The Stefan Problem Rubenstein, L.
  3. Moving Boundary Problems in Heat Flow and Diffusion Ockendon, J. R.;hodgkins, W. R.(ed.)
  4. J. Theoret. Biol. v.2 Heat and Matter Distribution in Body Tissues and the Determination of Tissue Blood Flow by Local Clearance Method Perl, W.
  5. Cryo. in Surgery Mathematical Predictions of Cryogenic Lesion Cooper, T. E.;Trezek, G. J.;van Leden, H.(ed);Cohn, W.g(ed)
  6. Winter Ann. Meeting of the Bioeng. Div. of the ASME Cryosurgery of Lesions through Contact Freezing and Estimates of Penetration Times Hrycak, P.;Wilchins, S. J.;Levy, M. J.
  7. Proc. of 1982 Summer Computer Simulation Conf. Finite Difference Model for Simulating Thermal Profiles in Cryosurgery Andrushkiew, R. I.
  8. Moving Boundary Problems in Heat Flow and Diffusion A Numerical Method to Determine the Temperature Distribution around a Moving Weld Pool Longworth, D.
  9. Int. J. Heat Mass Transfer v.24 Accurate Solutions of Moving Boundary Problems using the Enthalpy Method Voller, V.;Cross, M.
  10. Heat Transfer Holman, J. P.
  11. Am. J. Physiol. v.17 Cerebral Blood Flow and Cerebral Oxygen Consumption During Hypothermia Rosomoff, H. L.;Holaday, D. A.