# Thermodynamical analysis and constitutive equations for a mixture of viscous Korteweg fluids

@article{Gorgone2021ThermodynamicalAA, title={Thermodynamical analysis and constitutive equations for a mixture of viscous Korteweg fluids}, author={Matteo Gorgone and Francesco Oliveri and Patrizia Rogolino}, journal={Physics of Fluids}, year={2021} }

A complete thermodynamical analysis for a binary mixture of viscous Korteweg fluids with two velocities and two temperatures is developed. The constitutive functions are allowed to depend on the diffusion velocity and the specific internal energies of both constituents, together with their first gradients, on the symmetric part of the gradient of barycentric velocity, as well as on the mass density of the mixture and the concentration of one of the constituents, together with their first and…

## One Citation

A Thermodynamical Description of Third Grade Fluid Mixtures

- PhysicsJournal of Non-Equilibrium Thermodynamics
- 2022

Abstract A complete thermodynamical analysis for a non-reacting binary mixture exhibiting the features of a third grade fluid is analyzed. The constitutive functions are allowed to depend on the mass…

## References

SHOWING 1-10 OF 53 REFERENCES

Weakly nonlocal thermodynamics of binary mixtures of Korteweg fluids with two velocities and two temperatures

- PhysicsEuropean Journal of Mechanics - B/Fluids
- 2020

On a thermodynamic framework for developing boundary conditions for Korteweg-type fluids

- Mathematics
- 2019

Continuum thermodynamics of chemically reacting fluid mixtures

- Physics
- 2013

We consider viscous, heat-conducting mixtures of molecularly miscible chemical species forming a fluid in which the constituents can undergo chemical reactions. Assuming a common temperature for all…

On Korteweg-Type Compressible Fluid-Like Materials

- Biology
- 2011

It is outlined how the methodology presented here can be extended to non-Newtonian fluid models containing the Korteweg tensor in a straightforward manner and several specific examples for the form of the internal energy are provided and make the link to models proposed earlier.

Identification of an average temperature and a dynamical pressure in a multitemperature mixture of fluids.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2008

We present a classical approach to a mixture of compressible fluids when each constituent has its own temperature. The introduction of an average temperature together with the entropy principle…

On the characterization of constitutive equations for third-grade viscous Korteweg fluids

- MathematicsPhysics of Fluids
- 2021

We consider a model of a third-grade viscous Korteweg-type fluid in three space dimensions and apply the extended Liu procedure in order to explicitly solve the constraints imposed by the entropy…

On the Thermodynamics of Korteweg Fluids with Heat Conduction and Viscosity

- Physics, Engineering
- 2011

A model of third-grade Korteweg fluid with heat conduction and viscosity is developed. The restrictions placed by the Dissipation Principle are investigated by applying two different methods which…

Theory of Mixtures

- Engineering
- 2014

In developing the balance equations for a multicomponent flow, there are two approaches available. Some authors (Whitaker 1967, Slattery 1967) start from the equations of fluid mechanics, valid on…