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This article is cited in 1 scientific paper (total in 1 paper)
Computational mathematics
Dense suspensions and
generalized Fick's law
V. V. Shelukhina, V. V. Neverova, A. M. Krivtsovbc 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.
Received November 28, 2019, published December 30, 2019
Citation:
V. V. Shelukhin, V. V. Neverov, A. M. Krivtsov, “Dense suspensions and
generalized Fick's law”, Sib. Èlektron. Mat. Izv., 16 (2019), 2124–2133
Linking options:
https://www.mathnet.ru/eng/semr1194 https://www.mathnet.ru/eng/semr/v16/p2124
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