Author/Authors :
Barakhovskaia, E.V. Department of Mechanics and Mathematics - Novosibirsk State University, Russia, Novosibirsk, Pirogova - Kutateladze Institute of Thermophysics, Russia, Lavrentyeva , Marchuk, I.V. Department of Mechanics and Mathematics - Novosibirsk State University, Russia, Novosibirsk, Pirogova - Kutateladze Institute of Thermophysics - Novosibirsk State Agricultural University, Russia , Fedorets, A.A. Kutateladze Institute of Thermophysics, Russia, Novosibirsk - Tyumen State University, Russia
Abstract :
The problem of thermocapillary deformation of the locally heated horizontal liquid
layer is considered. The numerical solution of the problem has been obtained in the lubri-
cation approximation theory for two-dimensional axisymmetric thermocapillary flow. The
model takes into account surface tension, viscosity, gravity and heat transfer in the substrate
and liquid. Evaporation is neglected. The numerical algorithm for the joint solution of the
energy equation and the evolution equation for the liquid layer thickness has been developed.
Stationary solutions have been obtained by the establishment method. There have been mea-
sured and numerically calculated deformations in locally heated horizontal layers of silicone
oils of different types and thickness. The dependencies of the depth of thermocapillary defor-
mations on the layer thickness have been obtained for silicone oils of different viscosities. It
has been found that the value of the relative deformation of the layer decreases nonlinearly
with increasing the layer thickness, when other conditions being equal. It has been found a
good qualitative agreement of numerical results and experimental data.
Keywords :
thermocapillary effect , deformations of the liquid surface , silicone oil , lubrication approximation theory , energy equation , method of fractional steps
