Generalized Brinkman-Type Fluid Model and Coupled Heat Conductivity Problemстатья
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Дата последнего поиска статьи во внешних источниках: 17 октября 2021 г.
Аннотация:A variant of the model of coupled thermohydrodynamics and heat balance is proposed. We use Sedov's variational principle and develop (a closed energy-consistent mathematical gradient model for a four-dimensional generalized space-time continuum). In accordance with Sedov's method for modeling dissipative processes, the principle of stationarity of a functional is generalized to the principle of stationarity of a non-integrable variational form. The physical properties of the transversely-isotropic four-dimensional continuum are determined by generalized properties tensors of the third, fourth and fifth ranks, constructed so that the internal forces and moments depend only on distortions. In general, the presented model contains gradient and scale parameters, which determine relaxation effects in both thermomechanical and thermal processes. Variants of Brinkman-type fluid models of heat transfer processes for compressible and incompressible media are obtained as a result of the analysis of the general equations of motion of the space-time continuum. In particular, the equations of thermoelasticity, thermohydrodynamics, Navier-Stokes equations for compressible and incompressible media, Darcy equations, Brinkman equations are obtained.