FEATURES OF THE FRACTIONAL-DIFFERENTIAL APPROACH IMPLEMENTATION TO DESCRIBE THE PROCESS OF FEEDING A TWO-PHASE ZONE DURING SOLIDIFICATION OF METALS AND ALLOYS | Zendy

Tatjana Selivyorstova | Zendy; Vadim Selivyorstov | Zendy; Yuliia Mala | Zendy

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FEATURES 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 -

international scientific and technical conference information technologies in metallurgy and machine building

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.

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