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TRANSCILLATORY TRANSFER IN INTERACTING MULTI-COMPONENT SYSTEMS

DOI: 10.1615/ICHMT.1997.IntSymLiqTwoPhaseFlowTranspPhenCHT.860
page 7

Alexander Philippov
Department of Physics, Sterlitamak State Pedagogical Institute, 453103, Sterlitamak, Russia

Muslim Minlibayev
Department of Physics, Sterlitamak State Pedagogical Institute, 453103, Sterlitamak, Russia

Guzel Fatihova
Department of Physics, Sterlitamak State Pedagogical Institute, 453103, Sterlitamak, Russia

Аннотация

Earlier experiments1 have disclosed that during the oscillations in multi-component media the values of the coefficients of transfer increase (for example, the coefficient of heat conductivity in a porous medium). However, this paper proposes a new model for explaining this practically applicable physical phenomenon. The problem with mathematical formulations is that they lead to equations with periodic factors, which are impossible to analyze fully. Thus, we have investigated the main laws of transfer through computer modelling. A further benefit of the model is that, by expressing finite velocities of the expansion of disturbance, the deficiencies of incomprehensible variations inherent in the classical theory of heat conductivity and diffusion are removed.
On the basis of the model of a transcillator, it was possible to find analytical formulae for the calculation of the coefficients of transfer. It was thus possible to establish the conditions of the additivity of the coefficients of transfer. It was then necessary to establish the nature of the periodic oscillations in the dependence of the coefficients of transfer on oscillatory amplitude and frequency. The spectrum formulae for arbitrary oscillations of the medium were also found. Finally, there was a satisfactory correlation between the theory and the experimental evidence.

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