Continua with non-local constitutive laws: Exploitation of entropy inequality
@article{Gorgone2020ContinuaWN, title={Continua with non-local constitutive laws: Exploitation of entropy inequality}, author={Matteo Gorgone and Francesco Oliveri and Patrizia Rogolino}, journal={International Journal of Non-linear Mechanics}, year={2020}, volume={126}, pages={103573} }
5 Citations
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…
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…
Thermodynamical analysis and constitutive equations for a mixture of viscous Korteweg fluids
- PhysicsPhysics of Fluids
- 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…
Open Mathematical Aspects of Continuum Thermodynamics: Hyperbolicity, Boundaries and Nonlinearities
- MathematicsSymmetry
- 2020
This work aims to present that each approach has its specific problems, such as how the initial and boundary conditions can be formulated, how the coefficients in the partial differential equations are connected to each other, and how it affects the appearance of nonlinearities.
Internal Variables as a Tool for Extending Navier-Stokes Equations
- PhysicsJournal of Non-Equilibrium Thermodynamics
- 2022
Abstract The formalism of the internal variable theory is applied to extend Navier-Stokes equations. The internal variable theory provides a thermodynamically consistent derivation of constitutive…
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