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

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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.

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Authors and Affiliations

  1. Dipartimento di Matematica “U. Dini”, Università degli Studi di Firenze, Viale Morgagni 67/A, 50134, Firenze, Italy

    Lorenzo Fusi & Angiolo Farina

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  1. Lorenzo Fusi
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  2. Angiolo Farina
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Correspondence to Lorenzo Fusi.

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Fusi, L., Farina, A. A mathematical model for Bingham-like fluids with visco-elastic core. Z. angew. Math. Phys. 55, 826–847 (2004). https://doi.org/10.1007/s00033-004-3056-5

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  • DOI: https://doi.org/10.1007/s00033-004-3056-5

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