Invariance Properties of Inviscid Fluids of Grade n

TL;DR

This paper explores the invariance properties and flow classifications of inviscid fluids of grade n, emphasizing their thermodynamic equations, circulation theorems, and the role of capillary layers in phase transitions.

Contribution

It introduces a thermodynamic framework for inviscid fluids of grade n and proposes a general classification of their flow types, extending classical fluid dynamics.

Findings

Derived first integrals and circulation theorems for fluids of grade n

Presented a classification scheme for different flow types

Highlighted the significance of capillary layers in fluid behavior

Abstract

Fluids of grade n are continuous media in dynamic changes of phases avoiding the surfaces of discontinuity and representing the capillary layers in liquid-vapour interfaces. We recall the thermodynamic form of the equation of motion for inviscid fluids of grade n. First integrals and theorems of circulation are deduced. A general classification of flows is proposed.