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Arbitrary squeezing of a viscous fluid between elliptic plates
Published in Elsevier
1996
Volume: 18
   
Issue: 1
Pages: 35 - 51
Abstract
An arbitrary squeeze flow of an incompressible fluid in a narrow gap between two flat, parallel elliptic disks, where the gap width h(t) varies arbitrarily with time, is considered. The exact solution of the Navier Stokes equation is obtained as a multifold series of an infinite set of time-dependent nondimensional parameters, for small values of the parameters, and applied to the case when the walls perform harmonic oscillations with finite amplitude. The hydrodynamic force acting on the wall surface is more distorted in wave form as the amplitude increases and becomes more advanced in phase as the squeeze Reynolds number increases, compared with the sinusoidal velocity due to the change in gap width.
About the journal
JournalData powered by TypesetFluid Dynamics Research
PublisherData powered by TypesetElsevier
ISSN01695983
Open AccessNo
Concepts (18)
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    Density (specific gravity)
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    Hydrodynamics
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    KINEMATICS
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    Navier stokes equations
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    Oscillations
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    Plate metal
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    Reynolds number
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    Velocity
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    Viscosity
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    ELLIPTIC PLATES
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    Incompressible fluid
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    Squeeze flow
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    Viscous flow
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    Elliptic
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    INCOMPRESSIBLE FLUIDS
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    Navier-stokes equations
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    Plates
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    SQUEEZING