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| Content Provider | The American Society of Mechanical Engineers (ASME) Digital Collection |
|---|---|
| Author | Michael, Z. Podowski Kumbaro, Anela |
| Copyright Year | 2003 |
| Abstract | 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. |
| Sponsorship | Fluids Engineering Division |
| Starting Page | 1637 |
| Ending Page | 1644 |
| Page Count | 8 |
| File Format | |
| ISBN | 0791836967 |
| DOI | 10.1115/FEDSM2003-45545 |
| e-ISBN | 0791836738 |
| Volume Number | Volume 1: Fora, Parts A, B, C, and D |
| Conference Proceedings | ASME/JSME 2003 4th Joint Fluids Summer Engineering Conference |
| Language | English |
| Publisher Date | 2003-07-06 |
| Publisher Place | Honolulu, Hawaii, USA |
| Access Restriction | Subscribed |
| Subject Keyword | Lubrication theory Van der waals forces Gravity (force) Kinematics Liquid films Film thickness Modeling Pressure |
| Content Type | Text |
| Resource Type | Article |
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