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Non‐Newtonian thin films: Theory and experiment
Author(s) -
Sylvester Nicholas D.,
Tyler James S.,
Skelland A. H. P.
Publication year - 1973
Publication title -
the canadian journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.404
H-Index - 67
eISSN - 1939-019X
pISSN - 0008-4034
DOI - 10.1002/cjce.5450510405
Subject(s) - laminar flow , reynolds number , newtonian fluid , mechanics , flow (mathematics) , materials science , non newtonian fluid , power law fluid , logarithm , mathematics , thermodynamics , physics , mathematical analysis , turbulence
The flow of thin films of Newtonian and non‐Newtonian, Power law fluids down a vertical plate was studied in the laminar and wavy flow regimes. A theoretical development based on the existence of a steady, periodic solution to the equations describing film flow was used to predict the flow characteristics of the film. Double logarithmic plots of film thickness versus Reynolds number (Re P. L. ) were linear, as predicted, up to a Re P. L. = 100. The ratio of surface to average velocity was found to be approximately independent of the Reynolds number at values predicted by a laminar velocity profile. The wavelength of stable waves was found to be independent of the Reynolds number for a given fluid.