A mathematical model for Bingham-like fluids with visco-elastic core View Full Text


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Article Info

DATE

2004-09

AUTHORS

Lorenzo Fusi, Angiolo Farina

ABSTRACT

In this paper we present a new mathematical model for Bingham-like materials in which the core behaves as a visco-elastic Maxwell fluid. We deduce the model in a general 3D framework, using a thermodynamical approach based on the theory of natural configurations. We apply the model to the case of a plane Poiseuille flow driven by a time-dependent pressure gradient. The mathematical formulation of the latter case turns out to be a free boundary problem in which a parabolic equation and a dissipative wave equation are coupled together. More... »

PAGES

826-847

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00033-004-3056-5

DOI

http://dx.doi.org/10.1007/s00033-004-3056-5

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1015970819


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