Open AccessFEATURES OF THE FRACTIONAL-DIFFERENTIAL APPROACH IMPLEMENTATION TO DESCRIBE THE PROCESS OF FEEDING A TWO-PHASE ZONE DURING SOLIDIFICATION OF METALS AND ALLOYS
Author(s) -
Tatjana Selivyorstova,
Vadim Selivyorstov,
Yuliia Mala
Publication year - 2021
Publication title -
ìnformacìjnì tehnologìï v metalurgìï ta mašinobuduvannì
Language(s) - English
Resource type - Journals
ISSN - 2708-0102
DOI - 10.34185/1991-7848.itmm.2021.01.043
Subject(s) - filtration (mathematics) , porous medium , nonlinear system , diffusion , fractional calculus , mathematics , phase (matter) , differential (mechanical device) , porosity , type (biology) , newtonian fluid , mathematical analysis , materials science , thermodynamics , physics , pure mathematics , geology , composite material , paleontology , quantum mechanics
To describe filtration processes in complex dendritic-porous media, a number of fractional-differential mathematical models of diffusion type have been proposed.A nonlinear equation containing fractional Riemann-Liouville derivatives with respect to time is described, which can be used to correctly describe the single-phase filtration of a non-Newtonian fluid in a porous medium.