Electronic Resource
[S.l.]
:
American Institute of Physics (AIP)
Physics of Fluids
7 (1995), S. 2230-2242
ISSN:
1089-7666
Source:
AIP Digital Archive
Topics:
Physics
Notes:
The linear stability of a time-periodic flow is considered. The fluid motion is taking place in a Hele–Shaw cell made of two vertical rectangular parallel plates separated by a gap of small extent compared to the dimensions of the plates. The flow is generated by oscillating the cell about its vertical symmetry axis. Our stability analysis was motivated by the experimental results reported some years ago by Bolton and Maurer [Bull. Am. Phys. Soc. 32, 2097 (1987)] who observed the onset of longitudinal rolls in this configuration. The inviscid stability criterion for steady flow subjected to Coriolis force is applied at different times to assess the instability mechanism in the two opposite regimes of respectively low and high frequency of oscillation. For moderate values of the frequency, implementation of Floquet theory is used to find the critical values of the instability parameters. Finally a connection is established between the present results and those we obtained recently for a pulsed flow in a Taylor–Couette geometry. © 1995 American Institute of Physics.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.868471
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