A Lagrangian formulation for the Oldroyd B fluid and the second principle of thermodynamics
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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ArticleHLD-AROldroydB-HALv2.pdf (693.43 Ko)
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OldA.pdf (44.15 Ko)
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OldB.pdf (34.24 Ko)
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ZJ.pdf (43.27 Ko)
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minvp.pdf (25.09 Ko)
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| Origin | Files produced by the author(s) |
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| Origin | Files produced by the author(s) |
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