Initiation of Rotation in a Liquid Near a Free Boundary
V. A. Batishchev
Southern Federal University, Rostov-on-Don, Russia
Keywords: thermocapillary effect, free boundary, boundary layer, bifurcation, rotation
Abstract
Using the Navier-Stokes system of equations, rotational regimes of thermocapillary fluid flows in a semi-infinite space bounded from above by a non-deformable free boundary, on which a local temperature distribution is specified, are calculated. It is shown that in the boundary layer near the free boundary, as a result of bifurcation, rotational regimes of fluid flows arise during non-uniform cooling of this boundary. Secondary rotational modes are calculated, which form two families of solutions that depend on several parameters, and two parameters are not determined by external conditions.
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