Published 1982 | Version v1
Miscellaneous Open

Dynamic of vapor bubble growth in fields of variable pressure

Description

A mathematical model for the description of the growth from an initial nucleus of a vapor bubble imersed in liquid, subjected to a loss of pressure is presented. The model is important for analysing LOCA (Loss of Coolant Acident) in P.W.R. type reactors. Several simplifications were made in the phenomenum governing equations. With such simplifications the heat diffusion equation became the determining factor for the bubble growth, and the problem was reduced to solve the heat diffusion equation for semi infinite solid whose surface temperature is a well known function of time (it is supposed that the surface temperature is equal to the saturation temperature of the liquid at the system pressure at a given moment). The model results in an analytical expression for the bubble radius as a function of time. Comparisons with experimental data and previous models were made, with reasonable agreement. (author)

Abstract (Portuguese)

Apresenta-se um modelo matematico para a descricao do crescimento de uma bolha de vapor a partir de um nucleo inicial imerso em meio liquido sujeito a queda de pressao. O modelo e importance para analise de acidentes por perda de refrigerante em reatores do tipo P.W.R. Varias simplificacoes foram feitas equacoes que governam o fenomeno. Com estas simplificacoes a difusao de calor tornou-se o fator determinante do cresimento da bolha e o problema reduziu-se a resolver a equacao de difusao de calor para um solido semi-infinito, cuja temperatura superficial e uma funcao conhecida do tempo; (supoe-se que a temperatura superficial e igual a temperatura de saturacao do liquido correspondente a pressao aplicada sobre o sistema naquele instante). O modelo resulta numa expressao analitica para o raio da bolha como funcao do tempo. Comparacoes com dados experiemntais e outros modelos teoricos foram feitas, com resultados razoaveis. (autor)

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Additional details

Additional titles

Original title (Portuguese)
Dinamica de crescimento de bolhas de vapor em campos de pressao variaveis

Publishing Information

Imprint Pagination
61 p.
Report number
INIS-BR--1057