Тип публикации: статья из журнала
Год издания: 2015
Идентификатор DOI: 10.1134/S0015462815060010
Ключевые слова: stability, interface, spectrum of characteristic perturbations, Capillary flow, Convergence of numerical methods, Eigenvalues and eigenfunctions, Fluid dynamics, Interfaces (materials), Machinery, Inclined planes, Long-wave stabilities, Oscillatory regimes, Spectral problem, Thermocapillary flow, Two layer fluid, Zeroth approximations, Flow of fluids
Аннотация: The exact invariantOstroumov-Birikh solution of the Oberbeck-Bussinesq equationswhich describes two-layer advective thermocapillary flows in the inclined plane is analyzed. The spectrum of the characteristic perturbations of all classes of the flows is investigated and analytical representations of the eigennumbers and eigenfunctioПоказать полностьюns of the corresponding spectral problem are obtained in the zeroth approximation. Stability of the flows with respect to longwave perturbations and the possibility of existence of oscillatory regimes are proved.
Журнал: FLUID DYNAMICS
Выпуск журнала: Vol. 50, Is. 6
Номера страниц: 723-736
ISSN журнала: 00154628
Место издания: NEW YORK
Издатель: MAIK NAUKA/INTERPERIODICA/SPRINGER