A singular integro-differential equation model for dryout in LMFBR boiler tubes


Autoria(s): CUMINATO, J. A.; FITT, A. D.; MPHAKA, M. J. S.; NAGAMINE, A.
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

20/10/2012

20/10/2012

2010

Resumo

A 2D steady model for the annular two-phase flow of water and steam in the steam-generating boiler pipes of a liquid metal fast breeder reactor is proposed The model is based on thin-layer lubrication theory and thin aerofoil theory. The exchange of mass between the vapour core and the liquid film due to evaporation of the liquid film is accounted for using some simple thermodynamics models, and the resultant change of phase is modelled by proposing a suitable Stefan problem Appropriate boundary conditions for the now are discussed The resulting non-lineal singular integro-differential equation for the shape of the liquid film free surface is solved both asymptotically and numerically (using some regularization techniques) Predictions for the length to the dryout point from the entry of the annular regime are made The influence of both the traction tau provided by the fast-flowing vapour core on the liquid layer and the mass transfer parameter eta on the dryout length is investigated

FAPESP Fundacao de Amparo a Pesquisa do Estado de sao Paulo[2004/16064-9]

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Universidade Estadual de Santa Cruz[096/2004]

Universidade Estadual de Santa Cruz

Identificador

IMA JOURNAL OF APPLIED MATHEMATICS, v.75, n.2, p.269-290, 2010

0272-4960

http://producao.usp.br/handle/BDPI/28921

10.1093/imamat/hxp039

http://dx.doi.org/10.1093/imamat/hxp039

Idioma(s)

eng

Publicador

OXFORD UNIV PRESS

Relação

Ima Journal of Applied Mathematics

Direitos

restrictedAccess

Copyright OXFORD UNIV PRESS

Palavras-Chave #singular integral equation #dryout point #LMFBR #DIMENSIONAL MATHEMATICAL-MODEL #EVAPORATING LIQUID #DISPERSED FLOWS #STABILITY #DROPLETS #SURFACE #Mathematics, Applied
Tipo

article

original article

publishedVersion