Physics – Fluid Dynamics
Scientific paper
2008-01-14
European Journal of Mechanics B/ Fluids 24, 5 (2005) 596-613
Physics
Fluid Dynamics
30 pages
Scientific paper
10.1016/j.euromechflu.2005.01.00
Through an Hamiltonian action we write down the system of equations of motions for a mixture of thermocapillary fluids under the assumption that the internal energy is a function not only of the gradient of the densities but also of the gradient of the entropies of each component. A Lagrangian associated with the kinetic energy and the internal energy allows to obtain the equations of momentum for each component and for the barycentric motion of the mixture. We obtain also the balance of energy and we prove that the equations are compatible with the second law of thermodynamics. Though the system is of parabolic type, we prove that there exist two tangential acceleration waves that characterize the interfacial motion. The dependence of the internal energy of the entropy gradients is mandatory for the existence of this kind of waves. The differential system is non-linear but the waves propagate without distortion due to the fact that they are linearly degenerate (exceptional waves).
Gouin Henri
Ruggeri Tommaso
No associations
LandOfFree
Mixture of Fluids involving Entropy Gradients and Acceleration Waves in Interfacial Layers does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Mixture of Fluids involving Entropy Gradients and Acceleration Waves in Interfacial Layers, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Mixture of Fluids involving Entropy Gradients and Acceleration Waves in Interfacial Layers will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-634560