Document Type

Thesis

Date of Award

5-31-1984

Degree Name

Master of Science in Mechanical Engineering - (M.S.)

Department

Mechanical Engineering

First Advisor

Martin J. Linden

Second Advisor

Roman I. Andrushkiw

Third Advisor

Lawrence Jay Schmerzler

Abstract

Numerical solutions for determining the freezing front location vs time relation in cryosurgery are obtained by utilizing the heat transfer computer program TRUMP, which employs the explicit finite difference algorithm. The probe geometries of rectangular, cylindrical, and spherical shape with one dimensional heat flow are selected for study. Internal heat generation is considered in cylindrical and sphe¬rical probe geometries, and the difference between the solutions with and without heat generation is discussed. To verify the correctness of the TRUMP solution, comparisons are made in the freezing distance vs time relation with the Neumann's solution and the implicit enthalpy method for rectangular and spherical probe geometries. Also, a computer program based on the implicit enthalpy algorithm is coded in Fortran IV language and utilized. Comparisons described above show that the TRUMP solutions are in good agreement with the Neumann's solution and the implicit enthalpy method in determining the freezing front location vs freezing time curve, which justifies the application of TRUMP to the Stefan problem in cryosurgery.

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