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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2003, Volume 44, Issue 1, Pages 53–61
(Mi pmtf2457)
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This article is cited in 2 scientific papers (total in 2 papers)
Stability of thermal vibrational flow in an inclined liquid layer against finite-frequency vibrations
B. L. Smorodin Perm' State University, Perm', 614600
Abstract:
Stability of the flow that arises under the action of a gravity force and streamwise finite-frequency vibrations in a nonuniformly heated inclined liquid layer is studied. By the Floquet method, linearized convection equations in the Boussinesq approximation are analyzed. Stability of the flow against planar, spiral, and three-dimensional perturbations is examined. It is shown that, at finite frequencies, there are parametric-instability regions induced by planar perturbations. Depending on their amplitude and frequency, vibrations may either stabilize the unstable ground state or destabilize the liquid flow. The stability boundary for spiral perturbations is independent of vibration amplitude and frequency.
Keywords:
thermal vibrational convection, parametric instability, inclined liquid layer.
Received: 15.07.2002 Accepted: 13.08.2002
Citation:
B. L. Smorodin, “Stability of thermal vibrational flow in an inclined liquid layer against finite-frequency vibrations”, Prikl. Mekh. Tekh. Fiz., 44:1 (2003), 53–61; J. Appl. Mech. Tech. Phys., 44:1 (2003), 44–51
Linking options:
https://www.mathnet.ru/eng/pmtf2457 https://www.mathnet.ru/eng/pmtf/v44/i1/p53
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Abstract page: | 22 | Full-text PDF : | 5 |
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