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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Cuminato, J. A. [1] ; Fitt, A. D. [2] ; Mphaka, M. J. S. [3] ; Nagamine, A. [4]
Total Authors: 4
[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
Total Affiliations: 4
Document type: Journal article
Source: IMA JOURNAL OF APPLIED MATHEMATICS; v. 75, n. 2, p. 269-290, APR 2010.
Web of Science Citations: 3

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)

FAPESP's process: 04/16064-9 - Mechanics of non-stationary fluids: applications in aeronautics and rheology
Grantee:José Alberto Cuminato
Support type: Research Projects - Thematic Grants