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About Dissipative and Pseudo Port-Hamiltonian Formulations of Irreversible Newtonian Compressible Flows

Mora, Luis A. and Gorrec, Yann Le and Matignon, Denis and Ramirez, Hector and Yuz, Juan I. About Dissipative and Pseudo Port-Hamiltonian Formulations of Irreversible Newtonian Compressible Flows. (2020) In: The 21st World Congress of The International Federation of Automatic Control (IFAC 2020), 11 July 2020 - 17 July 2020 (Vitual event, Germany).

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Official URL: https://doi.org/10.1016/j.ifacol.2020.12.604

Abstract

In this paper we consider the physical-based modeling of 3D and 2D Newtonian fluids including thermal effects in order to cope with the first and second principles of thermodynamics. To describe the energy fluxes of non-isentropic fluids we propose a pseudo port-Hamiltonian formulation, which includes the rate of irreversible entropy creation by heat flux. For isentropic fluids, the conversion of kinetic energy into heat by viscous friction is considered as an energy dissipation associated with the rotation and compression of the fluid. Then, a dissipative port-Hamiltonian formulation is derived for this class of fluids. In the 2D case we modify the vorticity operators in order to preserve the structure of the proposed models. Moreover, we show that a description for inviscid or irrotational fluids can be derived from the proposed models under the corresponding assumptions leading to a pseudo or dissipative port-Hamiltonian structures.

Item Type:Conference or Workshop Item (Paper)
Additional Information:vol.53 n°2
HAL Id:hal-03209522
Audience (conference):International conference proceedings
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE)
Other partners > Université Bourgogne Franche-Comté - UBFC (FRANCE)
Other partners > Universidad Técnica Federico Santa María (CHILE)
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Deposited On:27 Apr 2021 09:40

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