Some Cryosurgery-Related Heat Transfer Problems

  • Peter Hrycak
  • Martin J. Linden
  • Sidney A. Wilchins
Part of the Applications of Cryogenic Technology book series (APCT, volume 10)


Cryosurgery represents physically cooling a small area (in a direct contact with a probe) on a large, semi-infinite slab, representing here the “body of the patient.” Although done often on an empirical basis, the process of cryocooling can be handled in a more rational fashion, according to the accepted principles of heat transfer. Thus, the greatest extent of cooling that occurs at the center of the cooled area, is calculated here from the solution of the appropriate boundary-value problems. Similarly, the times required for the maximum penetration of the freezing temperature are estimated, with the help of Neumann’s solution for freezing of a semi-infinite slab.

The cooling process may be affected by the internal geometry of the “body.” Therefore, the influence of a major blood vessel that may exist in the neighborhood of the cooled area is considered with its possible adverse effect on the cooling process and the intended beneficial result of the cryosurgical manipulation.


Freezing Temperature Dimensionless Temperature Freezing Process Heat Transfer Problem Maximum Penetration 
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  1. 1.
    P. Hrycak, Frost Action Under Refrigerated Areas, PhD Thesis, University of Minnesota, Minneapolis, 1960.Google Scholar
  2. 2.
    R.F. Ruckli, “Der Frost im Baugrund,” Springer, Vienna, 1950.Google Scholar
  3. 3.
    P. Hrycak, Heat Conduction With Solidification in a Stratified Medium, AIChE Journal, 13: 161, 1967.CrossRefGoogle Scholar
  4. 4.
    R. Barron, “Cryogenic Systems,” McGraw-Hill, New York, 1966.Google Scholar
  5. 5.
    C. Kellman and I.S. Cooper, Cryogenic Ophthalmic Surgery, Amer.Jour. of Ophth., 56: 731, 1963.Google Scholar
  6. 6.
    G.V. Porkhayev, Temperature Fields in Foundations, Proc., Internat. Conf. NAS-NRC Publ. R87, pp. 285291, 1963.Google Scholar
  7. 7.
    P. Hrycak, M.J. Levy, and S.A. Wilchins, Cryosurgery of Lesions through Contact Surgery and Estimates of Penetration Times, ASME paper 75-WA/Bio - 11, 1975.Google Scholar

Copyright information

© Springer Science+Business Media New York 1991

Authors and Affiliations

  • Peter Hrycak
    • 1
  • Martin J. Linden
    • 1
  • Sidney A. Wilchins
    • 2
  1. 1.N.J. Institute of TechnologyNewarkUSA
  2. 2.N.J. Med. SchoolUniv. of Med. and Dent. of N.J.USA

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