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Preprints, Working Papers, ... (Preprint) Year : 2023

A Lagrangian formulation for the Oldroyd B fluid and the second principle of thermodynamics

Hervé Le Dret
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  • PersonId : 904514
Annie Raoult
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  • PersonId : 867658

Abstract

We show that the Oldroyd B fluid model is the Eulerian form of a Lagrangian model with an internal variable that satisfies the second principle of thermodynamics under some conditions on the initial value of the internal variable. We similarly derive a compressible version of the Oldroyd B model and several nonlinear versions thereof. We also derive Lagrangian formulations of the Zaremba-Jaumann and Oldroyd A fluid models. We discuss whether or not these new models satisfy the second principle.
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Dates and versions

hal-04166054 , version 1 (28-07-2023)
hal-04166054 , version 2 (11-10-2023)
hal-04166054 , version 3 (20-03-2024)

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Hervé Le Dret, Annie Raoult. A Lagrangian formulation for the Oldroyd B fluid and the second principle of thermodynamics. 2023. ⟨hal-04166054v1⟩
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