Hydrodynamic Instability of Vertical Motions Excited by Spatially Periodic Distributions of Heat Sourcesстатья
Информация о цитировании статьи получена из
Web of Science,
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 23 декабря 2020 г.
Аннотация: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.