Inertial and Coriolis effects on oscillatory flow in a horizontal dendrite layer
Riahi, Daniel N.
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https://hdl.handle.net/2142/180
Description
Title
Inertial and Coriolis effects on oscillatory flow in a horizontal dendrite layer
Author(s)
Riahi, Daniel N.
Issue Date
2006-01
Keyword(s)
rotating convection
dendrite layer
solidification
oscillatory convection
oscillatory instability
inertial flow
mushy layers
stability analysis
Abstract
Flow instability due to oscillatory modes of disturbances in a horizontal dendrite layer
during alloy solidification is investigated under an external constraint of rotation. The
flow in the dendrite layer, which is modeled as flow in a porous layer under the Darcy’s
law but with the inertial effects included, is assumed to rotate about the vertical axis at a
constant angular velocity. The investigation is an extension of the work in Riahi (2003),
which was for the case in the absence of the inertial effects. Results of the stability
analyses indicate, in particular, that the Coriolis effect can enhance the physical domain
for the oscillatory flow, while the inertial effect tends to reduce such domain.
Sufficiently strong inertial effect can eliminate presence of the oscillatory mode only for
the rotation rate beyond some value.
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