Abstract:
Rotation bifurcation in a steady axisymmetric thermocapillary flow of an incompressible fluid filling a semi-infinite space bounded by the free surface with a nonuniform distribution of temperature is studied. The fluid flow is calculated on the basis of Navier–Stokes equations under the assumption of small diffusion coefficients. It is shown that the bifurcation triggers a rotational regime in a thin Marangoni boundary layer in the case of local cooling of the free boundary near the axis of symmetry and in the presence of an external flow; there is no rotation outside this layer. In the case of local heating of the free boundary, rotation is not observed
Citation:
V. A. Batishchev, “Emergence of fluid rotation in the Marangoni boundary layer in the region of local cooling of the free boundary”, Prikl. Mekh. Tekh. Fiz., 59:3 (2018), 26–35; J. Appl. Mech. Tech. Phys., 59:3 (2018), 407–415
\Bibitem{Bat18}
\by V.~A.~Batishchev
\paper Emergence of fluid rotation in the Marangoni boundary layer in the region of local cooling of the free boundary
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2018
\vol 59
\issue 3
\pages 26--35
\mathnet{http://mi.mathnet.ru/pmtf570}
\crossref{https://doi.org/10.15372/PMTF20180303}
\elib{https://elibrary.ru/item.asp?id=35076568}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2018
\vol 59
\issue 3
\pages 407--415
\crossref{https://doi.org/10.1134/S0021894418030033}
Linking options:
https://www.mathnet.ru/eng/pmtf570
https://www.mathnet.ru/eng/pmtf/v59/i3/p26
This publication is cited in the following 1 articles:
V. A. Batishchev, “Initiation of rotation in a liquid near a free boundary”, J. Appl. Mech. Tech. Phys., 64:4 (2023), 628–634
Citation in format AMSBIB
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