INTERNATIONAL JOURNAL OF ENGINEERING, SCIENCE AND - Volume 2, Issue 3, September 2013

Pages: 137-155

Date of Publication: 01-Sep-2013

Print Article   Download XML  Download PDF

ANALYTICAL STUDY OF WAVE MOTION OF A FALLING LIQUID FILM PAST A VERTICAL PLATE

Author: V. C. C. Raju* N. Chaturvedi* J. Prakash* R. Tshelametse*

Category: Engineering, Science and Mathematics

Abstract:

In this article, the existence of gravity-capillary waves travelling down the surface of a falling liquid film past a vertical plate has been considered. Kapitza’s scheme of finding an approximate expression of velocity u when the film surface assumes an arbitrary shape y = h(x, t), which changes with time, has been emphasized. The expressions for dimensionless wavelength, dimensionless wave number and Weber number have been obtained and are computed for an admissible range of the wave celerity. The stream line pattern has also been studied and presented through graphs.

Keywords: Wave motion, liquid film, gravity-capillary waves, stream line pattern