Solidification processes of solutions

Cryobiology

Volumn 34, Issue 4, 1997, Pages 348-362

  Viskanta, R ^a   Bianchi, M V A ^a   Critser, J K ^b   Gao, D ^b  

^a PURDUE UNIVERSITY   (United States)

^b Hospital of Indiana   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000232110     PISSN: 00112240     EISSN: None     Source Type: Journal    
DOI: 10.1006/cryo.1997.2015     Document Type: Article

References (40)

1. Alexiades, V., and Solomon, A.D. "Mathematical Modeling of Melting and Freezing Processes." Hemisphere, Washington, 1993.
2. Beckermann, C., and Viskanta, R. Double-diffusive convection during dendritic solidification of a binary mixture. PhysicoChem. Hydrodyn. 10, 195-213 (1988).
3. Beckermann, C., and Wang, C. Y. Multiphase/-scale modeling of alloy solidification. In "Annual Review of Heat Transfer" (C. L. Tien, Ed.), Vol. VI. Begell House, 1995.
4. Bennon, W. D., and Incropera, F. P. A continuum model for momentum, heat and species transport in a binary solid-liquid phase change system: I. Model formulation. Int. J. Heat Mass Transfer 30, 2161-2170 (1987).
5. Crank, J. "Free-and-Moving Boundary Problems." Clarendon, Oxford, 1984.
6. Diller, K. R. Modeling of bioheat transfer processes at high and low temperatures. In "Advances in Heat Transfer" (Y. I. Cho et al., Eds.), Vol. 22, pp. 157-357. Academic Press, San Diego, 1992.
7. English, T. A., Foreman, J., Gadian, D. G., Pegg, D. E., Wheeldon, D., and Williams, S. R. Three solutions for preservation of the rabbit heart at 0 degree C. A comparison with phosphorus-31 nuclear magnetic resonance spectroscopy. J. Thoracic Cardiovasc. Surg. 91, 54-61 (1988).
8. Gao, D. Y., Benson, C. T., Liu, C., McGrath, J. J., Critser, E. S., and Critser, J. K. Development of a novel microperfusion chamber for determination of cell membrane transport properties. Biophys. J. 71, 443-450 (1996).
9. Georgiadis, J. G. Multiphase flow quantitative visualization. Appl. Mech. Rev. 47(No. 6, Part 2), S315-S319 (1994).
10. Grange, B. W., Viskanta, R., and Stevenson, W. H. Diffusion of heat and solute during freezing of salt solutions. Int. J. Heat Mass Transfer 19, 373-384 (1976).
11. Grange, B. W., Viskanta, R., and Stevenson, W. H. Interferometric observation of thermohaline convection during freezing of saline solution. Let. Heat Mass Transfer 4, 85-92 (1977).
12. Hagedorn, M., Hsu, E., Pilatus, U., Wildt, D. E., Rall, W. F., and Blackband, S. J. Chemical-shift magnetic resonance imaging reveals important cryobiological features of zebrafish embryos. Proc. Natl. Acad. Sci. USA 9315, 7454-7459 (1996).
13. Hayes, L. J., Diller, K. R., Chang, H. J., and Lee, H. S. Prediction of local cooling rates and cell survival during the freezing of a cylindrical specimen. Cryobiology 25, 67-82 (1988).
14. Hayes, L. J., and Vemaganti, K. S. A moving grid finite element model for the freezing of tissue. In "Advances in Heat and Mass Transfer in Biotechnology," HTD-Vol. 322/BED-Vol. 32, pp. 156-178. ASME, New York, 1995.
15. Hill, J. M. "One-Dimensional Stefan Problems: An Introduction." Longman, London, 1987.
16. Joechem, M., and Körber, Ch. A numerical solution of the coupled heat and mass transfer problem of non-planar solidification and melting of aqueous solution. Wärme-und Stoffübertzagung 28, 195-204 (1993).
17. Kourosh, S., Diller, K. R., and Crawford, M. E. Microscopic study of coupled heat and mass transport during unidirectional solidification of binary solutions - II. Mass transfer analysis. Int. J. Heat Mass Transfer 33, 39-53 (1990).
18. Kurz, W., and Fisher, D. J. "Fundamentals of Solidification." Trans Tech Publications, Aldermansdorf, Switzerland, 1989.
19. Lin, S., and Gao, D. Y. Thermal stress induced by water solidification in a cylindrical tube. J. Heat Transfer 112, 1079-1082 (1990).
20. Lunardini, V. J. "Heat Transfer in Cold Climates." Litton, New York, 1981.
21. Mazur, P. Kinetics of water loss from cells at subzero temperatures and the likelihood of intracellular freezing. J. Gen. Physiol. 47, 347-364 (1963).
22. Mazur, P. Freezing of living cells: Mechanism and implications. Am. J. Physiol. 247 (Cell Physiol. 16, C125-C142), (1984).
23. Mazur, P. Equilibrium, quasi-equilibrium and non-equilibrium freezing of mammalian embryos. Cell Biophys. 17, 53-92 (1990).
24. Mehrabian, R., Keane, M., and Flemings, M. C. Interdendritic fluid flow and macrosegregation: Influence of gravity. Metall. Trans, 1, 1209-1220 (1970).
25. Merchant, F. A., Diller, K. R., Aggarwal, S. J., and Bovic, A. C. Viability analysis of cryopreserved rate pancreatic islets using laser scanning confocal microscopy. Cryobiology 33, 236-252 (1996).
26. Muldrew, K., and McGann, L. E. Mechanisms of intracellular ice formation. Biophys. J. 57, 525-539 (1990).
27. Onik, G. M., Cohen, J. K., Reyes, G. D., Rubinsky, B., Chang, Z., and Baust, J. Transrectal ultrasound-guided percutaneous radical cryosurgical ablation of the prostrate. Cancer 72, 1291-1299 (1993).
28. Ozisik, N. M. "Heat Conduction," Chap. 10. Wiley, New York, 1980.
29. Pitt, R. E., and Steponkus, P. L. Quantitative analysis of the probability of intracellular ice formation during freezing of isolated protoplasts. Cryobiology 26, 44-45 (1989).
30. Prakash, C., and Voller, V. On the numerical solution of continuum mixture model equations describing binary solid-liquid phase change. Numer. Heat Transfer 15, 171-189 (1989).
31. Prescott, P. J., and Incropera, F. P. Convection heat and mass transfer in alloy solidification. In "Advances in Heat Transfer" (D. Poulikakos et al., Eds.), Vol. 28, pp. 231-338. Academic Press, San Diego, 1996.
32. Rubinsky, B., Cravalho, E. G., and Mikic, B. Thermal stresses in frozen organs. Cryobiology 17, 66-73 (1980).
33. Rubinsky, B., and Pegg, D. E. A mathematical model for the freezing process in biological tissue. Proc. R. Soc. London B Biol. Sci. 234(1276), 343-358 (1988).
34. Rubinsky, B., Wong, S. T., Hong, J. S., Gilbert, J., Roos, M., and Storey, K. B. 1H magnetic resonance imaging of freezing and thawing in freeze-tolerant frogs. Am. J. Physiol. 266, R1771-R1777 (1994).
35. Schreuders, P. D., Diller, K. R., Beaman, J. J., Jr., and Paynter, H. M. An analysis of coupled multi-component diffusion in interstitial tissue. J. Biomech. Eng. 116, 164-171 (1994).
36. Shen, Y. B., and Poulikakos, D. Real time microholography for in situ concentration measurements in the vicinity of growing dendrites. J. Heat Transfer 118, 249-255 (1996).
37. Song, M., Choi, J., and Viskanta, R. Upward solidification of a binary solution saturated porous medium. Int. J. Heat Mass Transfer 36, 3687-3695 (1993).
38. 2O system. Rev. Sci. Instruments 66, 4336-4340 (1995).
39. Toner, M., and Cravalho, E. G. Thermodynamics and kinetics of intracellular ice formation during freezing of biological cells. J. Appl. Phys. 67, 1582-1594 (1990).
40. Viskanta, R. Phase change heat transfer in porous media. In "Proceedings of the Third International Symposium in Cold Region Heat Transfer" (J. P. Zarling, Ed.), pp. 1-24. Univ. Alaska, Fairbanks, AL, 1991.