A Lagrangian formulation for the Oldroyd B fluid and the second principle of thermodynamics - Sorbonne Université
Preprints, Working Papers, ... (Preprint) Year : 2023

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

Hervé Le Dret
  • Function : Author
  • PersonId : 904514
Annie Raoult
  • Function : Author
  • 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.
Fichier principal
Vignette du fichier
ArticleHLD-AROldroydB-HALv2.pdf (693.43 Ko) Télécharger le fichier
OldA.pdf (44.15 Ko) Télécharger le fichier
OldB.pdf (34.24 Ko) Télécharger le fichier
ZJ.pdf (43.27 Ko) Télécharger le fichier
minvp.pdf (25.09 Ko) Télécharger le fichier
Origin Files produced by the author(s)
Origin Files produced by the author(s)

Dates and versions

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

Identifiers

Cite

Hervé Le Dret, Annie Raoult. A Lagrangian formulation for the Oldroyd B fluid and the second principle of thermodynamics. 2023. ⟨hal-04166054v2⟩
74 View
76 Download

Altmetric

Share

More