Abstract
The work is devoted to the phenomenological derivation of the multivelocity multifluid model to describe dynamics of the multiphase medium with hyperelastic phase behavior using the Coleman-Noll procedure. The proposed model can be considered as a generalization of the Baer and Nunziato type multiphase models with isotropic stress tensor. The paper presents the well-known particular cases to which the obtained multiphase model can be reduced. The resulting model is completely non-equilibrium, and the joint deformation of the phases is described by a single scalar parameter, which is the volume fraction of the phases.
Publisher
Keldysh Institute of Applied Mathematics
Reference46 articles.
1. А. М. Блохин, В. Н. Доровский. Проблемы математического моделирования в теории многоскоростного континуума // РАН, Сиб. отд-ние, Объед. ин-т геологии, геофизики и минералогии, Ин-т математики, Новосибирск. – 1994.
2. S. K. Godunov, E. I. Romenskii. Nonstationary equations of nonlinear elasticity theory in Eulerian coordinates // J. Appl. Mech. Tech. Phys. 1972. V. 13. No. 6. P. 868–884. https://doi.org/10.1007/BF01200547
3. С. К. Годунов. Интересный класс квазилинейных систем // Доклады АН СССР. 1961. Т. 139. № 3. С. 521523. http://mi.mathnet.ru/dan25278
4. С. К. Годунов, Е. И. Роменский. Элементы механики сплошных сред и законы сохранения. Новосибирск: Научная книга, 1998. 280 с.
5. S. K. Godunov, I. M. Peshkov. Thermodynamically consistent nonlinear model of elastoplastic Maxwell medium // Comput. Math. And Math. Phys. 2010. V. 50. No. 8. P. 1409–1426. https://doi.org/10.1134/S0965542510080117