The steady motion of a Newtonian fluid in a rectangular enclosure open on its upper side is considered under the action of thermocapillary forces due to surface-tension gradients along the free surface. An asymptotic solution, in the limiting case of the aspect ratio approaching zero, is found and discussed for the cases where the surface deformation may be neglected. The flow field has also been analyzed in a wide range of the governing parameters by a computational model particularly appropriate to simulate free-surface flows. The surface deformation, at least for very small values of the crispation number, seems to have a negligible influence on the qualitative aspects of the flow-field structure.
THERMOCAPILLARY CONVECTION IN A RECTANGULAR CAVITY: ASYMPTOTIC THEORY AND NUMERICAL SIMULATION / M., Strani; Piva, Renzo; Graziani, Giorgio. - In: JOURNAL OF FLUID MECHANICS. - ISSN 0022-1120. - STAMPA. - 130:-1(1983), pp. 347-376. [10.1017/s0022112083001123]
THERMOCAPILLARY CONVECTION IN A RECTANGULAR CAVITY: ASYMPTOTIC THEORY AND NUMERICAL SIMULATION.
PIVA, Renzo;GRAZIANI, Giorgio
1983
Abstract
The steady motion of a Newtonian fluid in a rectangular enclosure open on its upper side is considered under the action of thermocapillary forces due to surface-tension gradients along the free surface. An asymptotic solution, in the limiting case of the aspect ratio approaching zero, is found and discussed for the cases where the surface deformation may be neglected. The flow field has also been analyzed in a wide range of the governing parameters by a computational model particularly appropriate to simulate free-surface flows. The surface deformation, at least for very small values of the crispation number, seems to have a negligible influence on the qualitative aspects of the flow-field structure.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
