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Fluid Dynamics

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01-07-2020

Hydrodynamic Instability of Vertical Motions Excited by Spatially Periodic Distributions of Heat Sources

Authors: M. V. Kalashnik, M. V. Kurgansky

Published in: Fluid Dynamics | Issue 4/2020

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Abstract–

The hydrodynamic instability of a system of vertical motions initiated by spatially periodic distributions of heat sources is investigated. The Galerkin method with three basis trigonometric functions is used to describe the perturbation dynamics. The nonlinear system of equations for finding the expansion coefficients is formulated. It is found that the vertical motions are unstable in the absence of dissipation if the Richardson number is less than one eighth. A weakly nonlinear model of inviscid instability is developed. It is shown that the loss of stability in the presence of dissipation can lead to formation of either steady-state or time-oscillating secondary flow with nontrivial streamline topology.

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Title: Hydrodynamic Instability of Vertical Motions Excited by Spatially Periodic Distributions of Heat Sources
Authors: M. V. Kalashnik
M. V. Kurgansky
Publication date: 01-07-2020
Publisher: Pleiades Publishing
Published in: Fluid Dynamics / Issue 4/2020
Print ISSN: 0015-4628
Electronic ISSN: 1573-8507
DOI: https://doi.org/10.1134/S0015462820040060

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