Abstract:
On the basis of the heterogeneous media mechanics the mathematical modeling of the mechanical densification (deairetion) of the powder at the work cell of the centrifugal set-up with the curvilinear blades is realized. The flat deformation model in the polar coordinate system includes in the equations of the powder motion with the consideration of the drag and Coriolis acceleration and external friction of the material on the disk surface in which the blades is strengthened, the equation of the porosity change, the linear constraints between the components of the tensors of the stress and deformations and the dependences for the component of the deformation tensor and shifts also. The functions of the porosity, the radial components of the stress tensor and velocity of the fine particles motion in the dependence of the polar coordinates are the results of the proposal description of the powder densification with the potential calculation of the other dynamics characteristics of the powder deairation process.
Citation:
A. B. Kapranova, “The powder densification process in the centrifugal set-up with curvilinear blades”, Mat. Model., 21:4 (2009), 44–58; Math. Models Comput. Simul., 2:1 (2010), 63–75
\Bibitem{Kap09}
\by A.~B.~Kapranova
\paper The powder densification process in the centrifugal set-up with curvilinear blades
\jour Mat. Model.
\yr 2009
\vol 21
\issue 4
\pages 44--58
\mathnet{http://mi.mathnet.ru/mm2757}
\zmath{https://zbmath.org/?q=an:1177.76439}
\transl
\jour Math. Models Comput. Simul.
\yr 2010
\vol 2
\issue 1
\pages 63--75
\crossref{https://doi.org/10.1134/S2070048210010072}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84929091879}
Linking options:
https://www.mathnet.ru/eng/mm2757
https://www.mathnet.ru/eng/mm/v21/i4/p44
This publication is cited in the following 5 articles:
Kapranova A., Tarshis M., Badaeva N., Sheronina I., “Mathematical Model of the Deaeration of Finely Dispersed Solid Media in a Spherical Matrix of a Roller-Type Apparatus”, Front. Energy Res., 9 (2021), 769940
Anna Kapranova, Ivan Verloka, Daria Bahaeva, Michael Tarshis, Lecture Notes in Civil Engineering, 70, Proceedings of EECE 2019, 2020, 337
Kapranova A.B., “Stochastic Model of Parallel Or Sequential Processes of Deaeration and Mixing of Granular Media Using the Operation of a Centrifugal Device as An Example”, Theor. Found. Chem. Eng., 53:2 (2019), 292–304
Kapranova A.B., Zaitsev A.I., Ganin A.V., Vasilev A.M., “Issledovanie trekhmernogo polya skorostei pri dvizhenii poroshkov v tsentrobezhnom deaeratore”, Izv. vuzov. Ser. Khimiya i khimicheskaya tekhnologiya, 55:10 (2012), 102–104
Kapranova A.B., Zaitsev A.I., Ganin A.V., Vasilev A.M., “Deformatsionnaya model vertikalnogo dvizheniya poroshkov v tsentrobezhnom deaeratore”, Izv. vuzov. Ser. Khimiya i khimicheskaya tekhnologiya, 55:10 (2012), 99–101