V. V. Shelukhin, V. V. Neverov, A. M. Krivtsov, “Dense suspensions and generalized Fick's law”, Sib. Èlektron. Mat. Izv., 2019, Volume 16,Pages <nobr>2124

This article is cited in 1 paper

Computational mathematics

Dense suspensions and generalized Fick's law

V. V. Shelukhin^a, V. V. Neverov^a, A. M. Krivtsov^bc

^a Lavrentyev Institute of Hydrodynamics, 15, Lavrentyeva ave., Novosibirsk, 630090, Russia
^b Laboratory "Discrete models in mechanics", Institute for Problems in Mechanical Engineering, 61, Bolshoy, V.O., Saint Petersburg, 199178, Russian Federation
^c Higher School of Theoretical Mechanics, Peter the Great St. Petersburg Polytechnic University (SPbPU), 29, Polytechnicheskaya str., Saint Petersburg, 195251, Russian Federation

Abstract: A two-velocity mathematical model is proposed for slurry flows. Equations agree with thermodynamic laws. The sedimentation problem is addressed. Particularly, the Boycott effect is justified; we prove that, due to gravitation, the settling velocity increases in the tilted vessel.

Keywords: gravitational convection, particle sedimentation, suspension, disperse mixture, particles, tilted vessel, interphase force.

UDC: 532.529.2

MSC: 76T25

Received November 28, 2019, published December 30, 2019

DOI: 10.33048/semi.2019.16.151