Mathematical models of rheological transformations during transfer of potential of mass, energy and momentum pulse.
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2017
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Abstract
The processes of convection-diffusion transfer of the potential of the determining parameter, which can be mass, energy or momentum pulse, are being considered. It is shown that the existing methods of mathematical modelling generally consider the transfer processes of mass, heat energy and momentum from a source of infinite cardinality to certain unlimited volume under the initial conditions of the first, second or third kind. In addition, it is assumed that the physical transition zone of the potential is infinitesimally small. At the same time, very complex mathematical models are obtained, which are often unfit for practical usage. It is shown that the rheological transition zone can be a technological device, for example, a reactor, an evaporation plant, an absorber, a rectifying column, etc., in which not only transformation of the main determining parameter occurs, but also creation of new ones. That is, the process of transformation under convection-diffusion transfer can be multistage with simultaneous output (drain) of the determining parameters - concentration, heat energy, pressure, etc. For mathematical description of the transfer processes of the potential the known laws of the transfer phenomena are used, which are supplemented by the corresponding laws of drain of the created potential. It is shown that in this case transformation of the input potential is described by nonlinear differential equations, which under certain conditions can be solved analytically.
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potential, transfer, transformation, drain, model
Citation
Stentsel Y., Porkuian O., Litvinov K. Mathematical models of rheological transformations during transfer of potential of mass, energy and momentum pulse. TEKA. Commission of motorization and energetics in agriculture. 2017. Vol. 17. № 4. С. 11-18