Bifurcation of self-similar solutions describing a thermocapillary flow of a fluid in a thin layer

V. A. Batishchev

Rostov State University, Rostov-on-Don 344090

Abstract: Thermocapillary flows of a fluid in a lamina with a rigid lower wall and a free upper surface, along which the temperature gradient is given in the radial direction, are investigated for large Marangoni numbers. Self-similar solutions which describe the axisymmetric flow regimes of a fluid without the circumferential velocity component are constructed numerically and asymptotically for a system of Prandtl equations. It is shown that a pair of new self-similar flow regimes of a fluid with rotation branches off from the regimes obtained. The new regimes ere calculated numerically and asymptotically.

UDC: 532.526

Received: 30.06.1997

 English version: Journal of Applied Mechanics and Technical Physics, 1999, 40:3, 479–484

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