Impregnation kinetics of fibers with liquids: simulation within the generalization of Navier-Stokes equationsстатья
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Дата последнего поиска статьи во внешних источниках: 6 марта 2019 г.
Аннотация:An elaborated model of the flow of liquid in the capillary porous space of a unidirectional fiber material is derived on the basis of the generalization of the Navier-Stokes-Darcy equations. It describes the phenomenon of impregnation in the absence of a pressure difference; unlike the classical model, the mirror of the wetting liquid has the meniscus and curvature signs observed in the experiment as a function of the properties of the adhesion fiber-liquid pair. This solution for the filtering mode makes it possible to select two layers in the flow of liquid, the boundary turbulent and axial lamellar ones. The proposed generalization of the Navier-Stokes-Darcy equations contains an additional physical parameter h m , which is interpreted as the characteristic thickness of the turbulent boundary layer. The nonclassical parameter h m having the dimensionality of the length determines the scaling effect. The square of this quantity is the filtration coefficient in Darcy’s law.