Wavy film flows down an inclined plane: Perturbation theory and general evolution equation for the film thickness

Journal Article · Fri Oct 01 00:00:00 EDT 1999 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.60.4143· OSTI ID:686871

Frenkel, A L; Indireshkumar, K ^[1]

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1. Department of Mathematics, University of Alabama, Tuscaloosa, Alabama 35487-0350 (United States)

Wavy film flow of incompressible Newtonian fluid down an inclined plane is considered. The question is posed as to the parametric conditions under which the description of evolution can be approximately reduced for all time to a single evolution equation for the film thickness. An unconventional perturbation approach yields the most general evolution equation and least restrictive conditions on its validity. The advantages of this equation for analytical and numerical studies of three-dimensional waves in inclined films are pointed out. {copyright} {ital 1999} {ital The American Physical Society}

• OSTI ID: 686871
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 60, Issue 4; Other Information: PBD: Oct 1999
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
FILM FLOW
PERTURBATION THEORY
THIN FILMS
THICKNESS
NAVIER-STOKES EQUATIONS
INCOMPLETE FUSION REACTIONS
REYNOLDS NUMBER
ITERATIVE METHODS