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The numerical solution of the thin film flow surrounding a horizontal cylinder resulting from a vertical cylindrical jet
Author(s) -
Hunt Roland
Publication year - 1992
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650140504
Subject(s) - cylinder , parallelepiped , mechanics , jet (fluid) , flow (mathematics) , heat exchanger , geometry , heat transfer , turbulence , mathematics , physics , thermodynamics
Abstract The numerical solution of the thin film flow surrounding a horizontal cylinder resulting from a single vertical cylindrical jet is obtained. This is effected by transforming the domain of the flow, which contains a free surface, onto a rectangular parallelepiped and using a marching strategy to solve the ensuing parabolic equations. The flow terminates at a finite distance along the cylinder, its position depending on the velocity and mass flux of the jet. A comparison with the usual two‐dimensional model in which the jet is replaced by a vertical sheet shows that such a representation is valid provided the overall width of the flow is not too large. In particular, the differences in heat transfer characteristics amount to a few per cent, thus validating the use of the two‐dimensional model when applied to heat exchanger tubes. A comparison with the more usual multicolumn case is also considered.