Рубрики:
SURFACE-TENSION GRADIENTS
INSTABILITY
CONTAINERS
Кл.слова (ненормированные):
critical Marangoni number -- deformable flat free boundary -- convection -- method of separation of variables
SURFACE-TENSION GRADIENTS
INSTABILITY
CONTAINERS
Кл.слова (ненормированные):
critical Marangoni number -- deformable flat free boundary -- convection -- method of separation of variables
Аннотация: This paper considers a liquid in a finite-size cylinder in which Marangoni instability occurs. The upper boundary of the liquid is free and deformable. The problem of the occurrence of convection in a cylindrical container is solved using the method of separation of variables. A homogeneous differential equation of the sixth order with constant coefficients and complex boundary conditions is obtained. An analytical expression for critical Marangoni numbers is derived for the case of monotonic perturbations. The case is considered where the liquid in the cylinder is weightless.
WOS,
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Держатели документа:
Russian Acad Sci, Inst Computat Modeling, Siberian Branch, Krasnoyarsk 660036, Russia.
Доп.точки доступа:
Magdenko, E. P.; Integration Project of the Siberian Branch of the Russian Academy of Sciences [38]; Russian Foundation for Basic Research [14-01-00067]