#Is scph 7003 the same as scph 5501 series
Its solution is found using trigonometric Fourier series that converge rapidly for any given time. Assuming that this number is small, the problem becomes linear. In the resulting initial boundary value problem, the analog of the Marangoni number is the Reynolds number. One of these problems, considered in paper, is devoted to the study of solving the thermodiffusion equations of a special type that describes the two-dimensional motion of a binary mixture in a flat channel. Similar simplifications can be obtained for the energy and concentration transfer equations.
It is well known that for small Marangoni numbers, the momentum equation can be simplified by discarding convective acceleration.
#Is scph 7003 the same as scph 5501 free
The main purpose of this work is to construct an exact solution of the inverse initial boundary value problem of rotationally symmetric motion of a viscous heat-conducting binary mixture with a flat free boundary at small Marangoni numbers, as well as a numerical solution of the problem.The movement is caused by a non-stationary pressure gradient. Keywords: binary mixture, free boundary, inverse problem, the pressure gradient, the stationary solution, Laplace transformation, thermal Marangoni number.Ĭitation: V.K.Andreev, N.L.Sobachkina, Rotationally-axisymmetric Motion of a Binary Mixture with a Flat Free Boundary at Small Marangoni Numbers, J. Some examples of numerical reconstruction of the temperature, concentration and velocity fields are given, which confirm the theoretical conclusions. If there is no connection, the convergence to the stationary solution is broken. It is shown that a stationary solution is the limiting one with the growth of time if there is a certain relationship between the temperature of the solid wall and the external temperature of the gas. Using Laplace transformation properties the exact analytical solution is obtained. The problem is reduced to the inverse linear initial-boundary value problem for parabolic equations. Rotationally-axisymmetric motion of a binary mixture with a flat free boundary at small Marangoni numbers is investigated. Received 06.092019, received in revised form 06.11.
Siberian Federal University Krasnoyarsk, Russian Federation
Institute of Computational Modelling SB RAS Krasnoyarsk, Russian Federation Siberian Federal University Krasnoyarsk, Russian Federation Rotationally-axisymmetric Motion of a Binary Mixture with a Flat Free Boundary at Small Marangoni Numbers
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