Multi-gradient fluids
Fluid Dynamics
2018-03-19 v1 Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.1803.06115,
title = {Multi-gradient fluids},
author = {Henri Gouin},
journal= {arXiv preprint arXiv:1803.06115},
year = {2018}
}
Comments
Ricerche di matematica, Springer Verlag, In press