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A simple construction of a thermodynamically consistent mathematical model for non-isothermal flows of dilute compressible polymeric fluids
Type of publication: Article
Citation:
Publication status: Published
Journal: Fluids
Volume: 5
Number: 3
Year: 2020
Pages: 133
DOI: 10.3390/fluids5030133
Abstract: We revisit some classical models for dilute polymeric fluids, and we show that thermodynamically consistent models for non-isothermal flows of these fluids can be derived in a very elementary manner. Our approach is based on the identification of energy storage mechanisms and entropy production mechanisms in the fluid of interest, which, in turn, leads to explicit formulae for the Cauchy stress tensor and for all of the fluxes involved. Having identified these mechanisms and derived the governing equations, we document the potential use of the thermodynamic basis of the model in a rudimentary stability analysis. In particular, we focus on finite amplitude (nonlinear) stability of a stationary spatially homogeneous state in a thermodynamically isolated system.
Preprint project: NCMM
Preprint year: 2020
Preprint number: 08
Preprint ID: NCMM/2020/08
Keywords:
Authors Dostalík, Mark
Málek, Josef
Průša, Vít
Süli, Endre
Added by: [VP]
Total mark: 0
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  • fluids-05-00133-v2.pdf
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