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

Autor(es)

Cuminato, J. A. ^[1] ; Fitt, A. D. ^[2] ; Mphaka, M. J. S. ^[3] ; Nagamine, A. ^[4]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Ciencias Matemat & Computacao, Dept Matemat Aplicada & Estatist, BR-13560970 Sao Carlos, SP - Brazil

^[2] Univ Southampton, Sch Math, Southampton SO17 1BJ, Hants - England

^[3] Natl Univ Lesotho, Dept Math & Comp Sci, Maseru 100 - Lesotho

^[4] Univ Estadual Santa Cruz, Dept Ciencias Exatas & Tecnol, Ilheus - Brazil

• Tipo de documento: Artigo Científico
• Fonte: IMA JOURNAL OF APPLIED MATHEMATICS; v. 75, n. 2, p. 269-290, APR 2010.
• Citações Web of Science: 3

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 (AU)

• Processo FAPESP: 04/16064-9 - Mecânica dos fluídos não estacionária: aplicações em aeronáutica e em reologia
• Beneficiário: José Alberto Cuminato
• Modalidade de apoio: Auxílio à Pesquisa - Temático