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

Authors

  • Tatjana Selivyorstova
  • Vadim Selivyorstov
  • Yuliia Mala

DOI:

https://doi.org/10.34185/1991-7848.itmm.2021.01.043

Keywords:

filtration, mathematical model, fractional derivative, fine differential equation, generalized Darcy's law

Abstract

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.

References

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Published

2021-04-10

Issue

Section

Статті