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RESEARCH PAPERS

Application of a Multifield Model to Reflooding of a Hot Vertical Tube: Part 1—Model Structure and Interfacial Phenomena

[+] Author and Article Information
M. Kawaji

Department of Reactor Safety Research, Japan Atomic Energy Research Institute, Tokai Mura, Japan

S. Banerjee

Department of Chemical and Nuclear Engineering, University of California, Santa Barbara, CA 93106

J. Heat Transfer 109(1), 204-211 (Feb 01, 1987) (8 pages) doi:10.1115/1.3248044 History: Received November 19, 1984; Online October 20, 2009

Abstract

This is the first of a series of two papers reporting on a study of reflooding of a hot vertical tube. A mechanistic model of reflood is developed using a multifield modeling approach to analyze experimental data reported previously [1]. In Part 1 of this paper, the mathematical model for the thermohydraulic processes during reflood is derived from the general two-field conservation equations, and its structure is examined. Linear stability of the equation system is analyzed incorporating consideration of phase pressure differences. For inverted annular flow, the system is stable to short-wavelength perturbations and captures long-wavelength interfacial instabilities. The length of the most unstable waves is also derived in the analysis and agrees well with the available data. For dispersed flow, the system is predicted to become unstable if the Weber number exceeds a critical value of 8. In Part 2 [2], constitutive relations for reflood are fomulated and model is numerically solved for comparison with experimental data.

Copyright © 1987 by ASME
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