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Problems of Inertialess Flow of Weakly Inhomogeneous Viscoplastic Media

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Abstract

The inertialess flow of a viscoplastic medium with a scalar determining relation in Ilyushin-Bingham form is investigated. The presence of rigid zones and their deformation during the motion are taken into account. A linearized initial boundary-value problem in the first approximation in the inhomogeneity parameter is formulated. The cases of spatial and plane deformation are considered. In the latter case, introducing the stream function makes it possible to find an analogy with the equations of Hamiltonian mechanics and the concept of chaos. Finding the law of motion, or trajectory, of each particle allows conclusions to be drawn concerning the chaotic state and the onset of mixing.

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Authors
  1. D. V. Georgievskii
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  2. D. M. Klimov
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  3. A. G. Petrov
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Georgievskii, D.V., Klimov, D.M. & Petrov, A.G. Problems of Inertialess Flow of Weakly Inhomogeneous Viscoplastic Media. Fluid Dynamics 38, 363–371 (2003). https://doi.org/10.1023/A:1025137820844

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  • DOI: https://doi.org/10.1023/A:1025137820844

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