This paper is concerned with the analysis of thin and ultra-thin liquid films. The results are applicable to various geometrical and kinematic conditions, including both stationary and moving surfaces. The new results obtained in this work include: • the derivation of an analytical solution for the evolution of film thickness over the entire multiscale range, from the liquid free surface to the asymptotic (disjoining-pressure controlled) region, and for any surface inclination angle between 0° to 90°, • the formulation of a method to deduce the Hamaker constant based on a single measured value of film thickness at the beginning of the disjoining-pressure-controlled region, applicable to any inclination angle, • the explanation of the reasons why the thickness of liquid films on moving surfaces is normally beyond the range of Van der Waals forces, • the formulation of an expression for the nondimensional asymptotic film thickness as a function of the capillary number; this new result explicitly accounts for the effect of gravity on the average film velocity.
Skip Nav Destination
ASME/JSME 2003 4th Joint Fluids Summer Engineering Conference
July 6–10, 2003
Honolulu, Hawaii, USA
Conference Sponsors:
- Fluids Engineering Division
ISBN:
0-7918-3696-7
PROCEEDINGS PAPER
The Modeling of Thin Liquid Films Along Inclined Surfaces
Michael Z. Podowski,
Michael Z. Podowski
Rensselaer Polytechnic Institute, Troy, NY
Search for other works by this author on:
Anela Kumbaro
Anela Kumbaro
Commisariat de l’Energie Atomic, Saclay, France
Search for other works by this author on:
Michael Z. Podowski
Rensselaer Polytechnic Institute, Troy, NY
Anela Kumbaro
Commisariat de l’Energie Atomic, Saclay, France
Paper No:
FEDSM2003-45545, pp. 1637-1644; 8 pages
Published Online:
February 4, 2009
Citation
Podowski, MZ, & Kumbaro, A. "The Modeling of Thin Liquid Films Along Inclined Surfaces." Proceedings of the ASME/JSME 2003 4th Joint Fluids Summer Engineering Conference. Volume 1: Fora, Parts A, B, C, and D. Honolulu, Hawaii, USA. July 6–10, 2003. pp. 1637-1644. ASME. https://doi.org/10.1115/FEDSM2003-45545
Download citation file:
6
Views
Related Proceedings Papers
Related Articles
The Modeling of Thin Liquid Films Along Inclined Surfaces
J. Fluids Eng (July,2004)
An Ultrathin Liquid Film Lubrication Theory—Calculation Method of Solvation Pressure and Its Application to the EHL Problem
J. Tribol (January,1997)
Developing Laminar Gravity-Driven Thin Liquid Film Flow Down an Inclined Plane
J. Fluids Eng (August,2010)
Related Chapters
Pulsating Supercavities: Occurrence and Behavior
Proceedings of the 10th International Symposium on Cavitation (CAV2018)
Piping Design
Power Boilers: A Guide to the Section I of the ASME Boiler and Pressure Vessel Code, Second Edition
Vertical Rise of a Weather Balloon
Case Studies in Fluid Mechanics with Sensitivities to Governing Variables