Journal ArticleDOI
Implementation of Phase Change in Numerical Models of Heat Transfer
Linda J. Hayes,Kenneth R. Diller +1 more
TLDR
In this paper, the authors investigated the effect of nodal point spacing on the occurrence and magnitude of numerical oscillations in the temperature solution and the use of grid point spacing to control these oscillations, and the effect which the range of temperatures over which latent heat is liberated has on the solution.Abstract:
This paper investigates some of the numerical problems involved in simulating heat transfer in porous media in the presence of phase change. Applications of this type of simulation include modeling of certain metal forming processes, of biological tissues and organs during cryosurgery or cyropreservation, and of heat transfer in frozen soils subjected to transient environmental conditions. A two-dimensional finite element model was used in which the latent heat is treated directly as an energy source in the problem formulation. Several parameters addressed in this work are crucial to the successful implementation of numerical methods for nonlinear heat transport with phase change, including: the effect of nodal point spacing on the occurrence and magnitude of numerical oscillations in the temperature solution and the use of grid point spacing to control these oscillations; the limiting element size which should be used in order to insure stable temperature fields; and the effect which the range of temperatures over which latent heat is liberated has on the solution. The results indicate that numerical stability is achieved for combinations of the foregoing parameters which yield small values of the Stefan number.read more
Citations
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Journal ArticleDOI
Quantification of temperature and injury response in thermal therapy and cryosurgery.
Xiaoming He,John C. Bischof +1 more
TL;DR: This article will give a detailed overview of studies relevant to the basic science of thermal therapy and cryosurgery from both the biology and engineering points of view.
Book ChapterDOI
Modeling of Bioheat Transfer Processes at High and Low Temperatures
TL;DR: This chapter outlines the paths that are followed in arriving at the present state-of-the-art in several important areas of bioheat transfer modeling, and addresses the techniques for the modeling of many of the most important and commonly encountered examples of heat transfer processes in living systems.
Journal ArticleDOI
Cryosurgery of normal and tumor tissue in the dorsal skin flap chamber: Part I--thermal response.
TL;DR: Hoffmann and Bischof as mentioned in this paper measured and predicted the thermal history obtained during freezing and thawing in a cryosurgical model, which was then compared to the injury observed in the tissue of the same model.
Journal ArticleDOI
Review of biomaterial thermal property measurements in the cryogenic regime and their use for prediction of equilibrium and non-equilibrium freezing applications in cryobiology
Jeunghwan Choi,John C. Bischof +1 more
TL;DR: The implications of using approximated or constant property values versus measured temperature-dependent values for predicting temperature history during freezing in PBS (phosphate-buffered saline) and porcine liver with and without cryoprotectants (glycerol) are investigated.
Journal ArticleDOI
Effect of Microscale Mass Transport and Phase Change on Numerical Prediction of Freezing in Biological Tissues
TL;DR: A numerical model incorporating the microscale heat and mass transport in biological tissue during freezing is developed, which has the unique ability to predict both the macroscale thermal response and the micro scale biophysical response at various locations within the tissue domain during a freezing process.
Related Papers (5)
Numerical solution of the multidimensional freezing problem during cryosurgery.
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