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RESEARCH PAPERS: Applications

An Extension of the Large-Cell Radiation Model for the Case of Semitransparent Nonisothermal Particles

[+] Author and Article Information
Leonid A. Dombrovsky

Joint Institute for High Temperatures of the Russian Academy of Sciences, NCHMT, Krasnokazarmennaya 17A, Moscow 111116, Russiadombr@online.ru

J. Heat Transfer 132(2), 023502 (Nov 30, 2009) (8 pages) doi:10.1115/1.4000181 History: Received October 20, 2008; Revised March 23, 2009; Published November 30, 2009; Online November 30, 2009

The recently developed model for thermal radiation in multiphase flows typical of melt-coolant interactions is generalized to account for transient temperature profile in large semitransparent particles of solidifying melt. A modification of the large-cell radiation model (LCRM) is based on the approximate solution for coupled radiation and conduction in optically thick spherical particles of a refractive material. The simplicity of the suggested approximation enables one to implement the modified model in a multiphase computational fluid dynamics code. The LCRM extension makes possible the use of this approach not only for the core melt in nuclear fuel-coolant interactions but also for other melt substances, which are widely used in the laboratory experiments. The numerical data demonstrate an effect of absorption coefficient of the particle substance on the rate of particle cooling and solidification.

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Figures

Grahic Jump Location
Figure 1

Transient temperature profiles in solidifying particles of radius a=1 mm (a) and 3 mm (b) at various absorption coefficients of the particle substance: 1—α=104 m−1, 2—2×104 m−1, 3—4×104 m−1, and 4—8×104 m−1

Grahic Jump Location
Figure 2

The relative position of solidification front in particles of radius a=1 mm (a) and 3 mm (b) at various absorption coefficients of the particle substance: 1—α=104 m−1, 2—2×104 m−1, 3—4×104 m−1, and 4—8×104 m−1

Grahic Jump Location
Figure 3

Time variation of integral radiation flux from solidifying particles of radius a=1 mm (a) and 3 mm (b) at various absorption coefficients of the particle substance: 1—α=104 m−1, 2—2×104 m−1, 3—4×104 m−1, and 4—8×104 m−1

Grahic Jump Location
Figure 4

The relative position of solidification front and the integral radiation flux for particles of radius a=1 mm (1) and 3 mm (2) at various absorption coefficient of the particle substance: I—α→∞ (opaque substance), II, and III—α=104 m−1 (II—calculations by using the approximate model (36), III—exact numerical solution)

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