Evolution and breaking of liquid film flowing on a vertical cylinder
Journal Article
·
· Physics of Fluids A: Fluid Dynamics; (USA)
- Department of Mechanical Engineering, Technion-Israel Institute of Technology, Haifa 32000 (IL) Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (USA)
An amplitude equation is derived, which describes the evolution of a disturbed film interface {ital H}({tau},{ital Z},{ital Y}) flowing down an infinite vertical cylindrical column. Using a new approach, which accounts for fast spatial changes, the nonlinear evolution of the interface is shown to be governed by {ital H}{sub {tau}}+{beta}{ital HH}{sub {ital Z}}+{alpha}{ital H}{sub {ital ZZ}} +{gamma}{del}{sup 2}{l brace}{ital N}((1/{omega}{sup 2}){ital H}+{del}{sup 2}{ital H}){r brace}=0, where {omega} is the normalized cylinder radius and {alpha}, {beta}, and {gamma} are constants, {del}{equivalent to}({partial derivative}{sub {ital Z}}, {partial derivative}{sub {ital Y}}), and {ital N}=(1+{epsilon}{sup 4}({del}{ital H}){sup 2}){sup {minus}3/2}. It is shown numerically that for some linearly unstable equilibria the evolving waves break in a finite time.
- OSTI ID:
- 5355547
- Journal Information:
- Physics of Fluids A: Fluid Dynamics; (USA), Journal Name: Physics of Fluids A: Fluid Dynamics; (USA) Vol. 1:11; ISSN 0899-8213; ISSN PFADE
- Country of Publication:
- United States
- Language:
- English
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