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A model for the prediction of velocity and void fraction profiles in two‐phase flow
Author(s) -
Brown F. C.,
Kranich W. L.
Publication year - 1968
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690140514
Subject(s) - froude number , mechanics , two phase flow , flow (mathematics) , bubble , reynolds number , porosity , pressure drop , thermodynamics , slip ratio , mathematics , physics , geology , geotechnical engineering , turbulence , shear stress
An experimental study of velocity and void‐fraction profiles has been carried out for the cocurrent two‐phase flow of both air and water, and air and glycerine‐water systems. The investigation was restricted to flow in a horizontal, 1 in. diam. tube with primary emphasis on the bubble flow regime. The assumptions which must be made to reduce the general equations of continuity, momentum, and energy to the forms appropriate for two‐phase flow are presented and the equations simplified for the case of no local slip. A model is proposed which allows the determination, by trial, of the two‐phase velocity and void‐fraction profiles. The profiles generated by the use of the model in conjunction with experimental sampling data are presented, the profile shapes are discussed, and their variations with Reynolds and Froude numbers and gas volumetric flow fraction are shown to be self‐consistent. The horizontal profiles are found to be in fair agreement with those predicted from Levy's mixing length theory. A correlation scheme is outlined which, supplemented by data over wider ranges of operating conditions, would serve as a method for estimating pressure drops in two‐phase flow.