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Profile equations for film flows at moderate Reynolds numbers

✍ Scribed by Haroon S. Kheshgi

Publisher
American Institute of Chemical Engineers
Year
1989
Tongue
English
Weight
911 KB
Volume
35
Category
Article
ISSN
0001-1541

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✦ Synopsis

An approximate equation for the evolution of finite-amplitude, long disturbances to Newtonian liquid films is found to be accurate over a wide range of Reynolds numbers. A long-wave expansion leads to a film profile equation asymptotically correct when wave number and Reynolds number are small. Solutions of the film profile equation are compared to exact and other approximate solutions of the Navier-Stokes system. An alternative form of the film profile equation results in remarkably accurate solutions, when Reynolds numbers are moderate, in the cases of standing or monotonically decaying waves in horizonatal films, rising film flow, final acceleration of a moving film, and film flow emerging from a slot coater.

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