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Effect of high-frequency vibrations on the stability of advective flow. (English. Russian original) Zbl 0921.76062

Fluid Dyn. 33, No. 1, 12-17 (1998); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 1998, No. 1, 16-22 (1998).
Summary: We consider the stability of plane convective flow in a horizontal layer with a longitudinal temperature gradient under the action of longitudinal vibrations. The behavior of small normal plane and spiral perturbations is investigated. It is shown that the vibrations enhance the stability with respect to almost all types of perturbations. The sole exception is plane thermal waves whose existence domain extends toward low Prandtl numbers.

MSC:

76E15 Absolute and convective instability and stability in hydrodynamic stability
80A20 Heat and mass transfer, heat flow (MSC2010)
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References:

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