Abstract
The dynamics of a viscous incompressible liquid layer and the temperature distribution in it are investigated numerically in three-dimensional case. The planar layer with free boundaries under condition of zero gravity is studied on the basis of the special class of exact solutions of the Navier-Stokes equations. The thermocapillary forces and additional tangential stresses on the boundaries caused by the environment are taken into account. The influence of additional tangential stresses on the layer dynamics and heat distribution is studied.
Highlights
The problems of a nonstationary liquid flow in domains with free boundaries are rather difficult to study
The modelling of liquid flows which take place under the influence of thermocapillary forces and additional shear stresses on the free boundaries of infinite horizontal liquid layer is performed with the help of special class of exact solutions of the Navier-Stokes equations
The results of numerical study of the dynamics of free boundaries and the temperature distribution within the layer depending on the direction of additional shear stresses are presented
Summary
The problems of a nonstationary liquid flow in domains with free boundaries are rather difficult to study. Such problems may include the consideration of additional shear stresses caused by the external environment [1, 2]. The modelling of liquid flows which take place under the influence of thermocapillary forces and additional shear stresses on the free boundaries of infinite horizontal liquid layer is performed with the help of special class of exact solutions of the Navier-Stokes equations. The results of numerical study of the dynamics of free boundaries and the temperature distribution within the layer depending on the direction of additional shear stresses are presented
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