Premium
Flow in a converging channel at moderate reynolds numbers
Author(s) -
James David F.
Publication year - 1991
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.690370105
Subject(s) - reynolds number , mechanics , radius , constant (computer programming) , channel (broadcasting) , momentum (technical analysis) , mathematics , rotational symmetry , range (aeronautics) , flow (mathematics) , physics , geometry , open channel flow , mathematical analysis , thermodynamics , materials science , turbulence , engineering , computer security , electrical engineering , finance , computer science , economics , composite material , programming language
Abstract An analytical solution is found for flow in a converging channel for Reynolds numbers in the range of 10 2 to 10 3 . The solution applies to an axisymmetric channel, for which the shape is given by R 2 z=constant, where R is the channel radius at the axial distance z. This shape produces a center‐line or core velocity that increases linearly with z, thus making the extensional rate constant. The analytical solution is a pseudosimilarity solution of the axial momentum equation, and its accuracy was gauged by comparison to other results. Comparisons of velocity and pressure distributions to experimental data and to finite‐element results indicate that the analytical solution is accurate to about 5%.