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A general expression for the correlation of rates of transfer and other phenomena

Churchill, S. W., Usagi, R.·1972·AIChE Journal

Abstract

The expression Y = (1 + Z n)1/n where Y and Z are expressed in terms of the solutions for asymptotically large and small values of the independent variable is shown to be remarkably successful in correlating rates of transfer for processes which vary uniformly between these limiting cases. The arbitrary exponent n can be evaluated simply from plots of Y versus Z and Y/Z versus 1/Z. The expression is quite insensitive to the choice of n and the closest integral value can be chosen for simplicity. The process of correlation can be repeated for additional variables in series. Illustrative applications are presented only for flow, conduction, forced convection, and free convection, but the expression and procedure are applicable to any phenomenon which varies uniformly between known, limiting solutions.

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Metadata

Authors
Churchill, S. W., & Usagi, R.
Venue
AIChE Journal
Publisher
Wiley
Published
1972-11
Volume
18
Issue
6
Pages
1121-1128
ISSN
  • 0001-1541 (ISSN-L)
  • 1547-5905
OpenAlex
W2137661976
Cited by
848
References
0
FWCI
16.22
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: A general expression for the correlation of rates of transfer and other phenomena. https://app.cochat.ai/papers/10.1002/aic.690180606
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Churchill, S. W., & Usagi, R. (1972). A general expression for the correlation of rates of transfer and other phenomena. AIChE Journal. https://doi.org/10.1002/aic.690180606

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