Travelling waves near a critical point of a binary fluid mixture

Details Travelling waves near a critical point of a binary fluid mixture Travelling waves near a critical point of a binary fluid mixture

2011-10-24

arxiv.org/abs/1110.5137v1

International Journal of Non-Linear Mechanics 47 (2011) 77-84

Physics

Classical Physics

23 pages; 4 figures

Scientific paper

10.1016/j.ijnonlinmec.2011.09.01

Travelling waves of densities of binary fluid mixtures are investigated near a critical point. The free energy is considered in a non-local form taking account of the density gradients. The equations of motions are applied to a universal form of the free energy near critical conditions and can be integrated by a rescaling process where the binary mixture is similar to a single fluid. Nevertheless, density solution profiles obtained are not necessarily monotonic. As indicated in Appendix, the results might be extended to other topics like finance or biology.

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