Abstract
The thermofluid dynamics of pool boiling heat transfer was theoretically studied. A two-phase flow integral model was formulated for the local boiling field adjacent to the heated wall. A set of three non-linear differential equations model the dynamics of the localized void fraction, bubble number density and vapor velocity. The boiling crisis at the critical heat flux is described as a dynamic transition caused by the competition of bubbles coalescence and breakup mechanisms. An analysis of a case of pool boiling in water is presented, showing the consistency of the formulation. The model has potential applications to thermal management of electronic microchips and devices for space environments.
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References
Delhaye, J. M., 1968, “Equations fondamentales des ecoulements diphasiques”, Partes 1 et 2, CEA-R-3429, Centre d’Etudes Nucleaires de Grenoble, France
Drew, D., Cheng, L. and R. T. Lahey Jr., 1979, “The analysis of virtual mass effects in two-phase flow”, Int. J. Multiphase Flow, 5:233
Hsu, Y. Y. and Graham, R. W., 1976, “Transport Processes in Boiling and Two-Phase System”, McGraw Hill, New York
Kataoka, I. and Serizawa, A., 1990, “Interfacial area concentration in bubbly flows, Noc. Enq,. Des., 120:163
Kocamustafaogullari, G. and Ishii, M., 1983, “Interfacial area and nucleation site density in boiling systems”, Int. J. Heat Mass Transfer, 26:1377
Kutateladze S., 1948, “On the transition to film boiling under natural convection”, Kotlaturbastroeine, 3:10
Liaw, S. P. and Dhir, V. K., 1989, “Void fraction measurements during saturated pool boiling of water on partially wetted vertical surfaces”, J. Heat Transfer, 111, 731.
Lienhard, J, 1988, “Things we don’t know about boiling heat transfer”, Int. Gamm. Heat. Mass Trans., 15:401.
Navarro-Valenti, S., Clausse, A., Drew, D. and R. T. Lahey, 1991, “A contribution to the mathematical modeling of bubbly-slug flow regime transition”, Chem. Enq. Comm., 102:69
Prince, M and Blanch, H., 1990, “Bubble coalescence and breakup in air-sparged bubble columns, AICHE J., 36:1485
Taylor, G. I., 1934, “The formation of emulsion in definable field of flow”, Proceeding of the Royal Society (London), 146:501
Wallis, G., 1969, “One-Dimensional Two-Phase Flow”, McGraw Hill
Zuber, N., 1958, “On the stability of boiling heat transfer”, Trans. AIME, 80:711
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© 1993 Springer Science+Business Media New York
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Carrica, P., Clausse, A. (1993). A Mathematical Description of the Critical Heat Flux as a Non-Linear Dynamic Instability. In: Gouesbet, G., Berlemont, A. (eds) Instabilities in Multiphase Flows. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1594-8_8
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DOI: https://doi.org/10.1007/978-1-4899-1594-8_8
Publisher Name: Springer, Boston, MA
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Online ISBN: 978-1-4899-1594-8
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