Multi-gradient fluids

  • Henri Gouin


An internal energy function of the mass density, the volumetric entropy and their gradients at n-order generates the representation of multi-gradient fluids. Thanks to Hamilton’s principle, we obtain a thermodynamical form of the equation of motion which generalizes the case of perfect compressible fluids. First integrals of flows are extended cases of perfect compressible fluids. The equation of motion and the equation of energy are written for dissipative cases, and are compatible with the second law of thermodynamics.


Multi-gradient fluids Equation of motion Equation of energy First integrals Laws of thermodynamics 

Mathematics Subject Classification

76A02 76E30 76M30 



The results contained in the present paper have been partially presented in Wascom 2017.


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Copyright information

© Università degli Studi di Napoli "Federico II" 2018

Authors and Affiliations

  1. 1.Aix-Marseille Univ, CNRS, IUSTI UMR 7343MarseilleFrance

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