Long waves in parallel flow in Hele-Shaw cells

Journal Article · Mon Sep 09 00:00:00 EDT 1991 · Physical Review Letters; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.67.1430· OSTI ID:5220482

Zeybek, M; Yortsos, Y C ^[1]

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1. Department of Chemical Engineering, University of Southern California, Los Angeles, California (USA)

The evolution of fluid interfaces in parallel flow in Hele-Shaw cells is studied theoretically and experimentally in the limit of large capillary number. It is shown that such interfaces support wave motion, the amplitude of which for long waves is governed by a set of Korteweg--de Vries and Airy equations. Experiments conducted in a long Hele-Shaw cell validate the theory in the symmetric case.

• DOE Contract Number: FG22-87BC14126
• OSTI ID: 5220482
• Journal Information: Physical Review Letters; (United States), Journal Name: Physical Review Letters; (United States) Vol. 67:11; ISSN PRLTA; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
360603 -- Materials-- Properties
640410* -- Fluid Physics-- General Fluid Dynamics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
AIRY FUNCTIONS
ALCOHOLS
AMPLITUDES
DATA
DIFFERENTIAL EQUATIONS
DISPERSIONS
EQUATIONS
EXPERIMENTAL DATA
FLUID FLOW
FUNCTIONS
GLYCEROL
HYDROGEN COMPOUNDS
HYDROXY COMPOUNDS
INCOMPRESSIBLE FLOW
INFORMATION
INTERFACES
KORTEWEG-DE VRIES EQUATION
MINERAL OILS
MIXTURES
NUMERICAL DATA
NUMERICAL SOLUTION
OILS
ORGANIC COMPOUNDS
OTHER ORGANIC COMPOUNDS
OXYGEN COMPOUNDS
PARTIAL DIFFERENTIAL EQUATIONS
QUASI PARTICLES
SIMULATION
SOLITONS
SOLUTIONS
SYMMETRY
THEORETICAL DATA
TWO-PHASE FLOW
VISCOSITY
WATER
WAVE PROPAGATION