Rigid bodies formulation arising from visco-plastic flows with some numerical illustrations

This work reveals a weak formulation of rigid bodies motion arising from free boundaries evolution in visco-plastic flows. This phenomena could modelize the cooling of blood-plasma in thin arteries. The fluid motion is governed by the incompressible Norton–Hoff operator in the non-cylindrical quasi-...

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Bibliographic Details
Published in:International journal of non-linear mechanics 2012-10, Vol.47 (8), p.851-862
Main Authors: Ferchichi, J., Khenous, H.B., Zolésio, J.P.
Format: Article
Language:English
Subjects:
Computational fluid dynamics
Consistency
Evolution
Fluid flow
Fluids
Free interfaces
Illustrations
Mathematical models
Norton–Hoff model
Rigid body
Rigid-body dynamics
Visco-plastic flows
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Summary:This work reveals a weak formulation of rigid bodies motion arising from free boundaries evolution in visco-plastic flows. This phenomena could modelize the cooling of blood-plasma in thin arteries. The fluid motion is governed by the incompressible Norton–Hoff operator in the non-cylindrical quasi-static case coupled with the time-dependent convection system. We supply the existence of an interface between two non-miscible fluids by the use of the non-smooth evolution theory. We prove that the fluid's flow is transformed to a rigid body when its consistency is very large. The established result is, in some sense, an extension of the existing formulations. We supply some numerical illustrations to validate our results.
ISSN:0020-7462
1878-5638
DOI:10.1016/j.ijnonlinmec.2012.04.011