Two-fluid model

Two-fluid model is a macroscopic traffic flow model to represent traffic in a town/city or metropolitan area, put forward in the 1970s by Ilya Prigogine and Robert Herman.^[1]

There is also a two-fluid model which helps explain the behavior of superfluid helium.^[2][3] This model states that there will be two components in liquid helium below its lambda point (the temperature where superfluid forms). These components are a normal fluid and a superfluid component. Each liquid has a different density and together their sum makes the total density, which remains constant. The ratio of superfluid density to the total density increases as the temperature approaches absolute zero.

It is possible to solve a one-dimensional coupled Euler and Navier-Stokes equations with the self-similar Ansatz as a simple model of coupled inviscid and viscous fluid system.^[4]

See also:

• Superfluidity

External links

• [1] Two Fluid Model of Superfluid Helium

References

1. Herman, Robert; Prigogine, Ilya (April 1979). "A Two-Fluid Approach to Town Traffic" (PDF). Science. 204 (4389): 148–151. Bibcode:1979Sci...204..148H. doi:10.1126/science.204.4389.148. PMID 17738075. S2CID 20780759. Archived from the original (PDF) on 2012-03-30.
2. Khalatnikov, I.M. (2000). An Introduction to the Theory of Superfluidity. Westview Press. ISBN 978-0738203003.
3. Balibar, S. (2017). "Laszlo Tisza and the two-fluid model of superfluidity". Comptes Rendus Physique. 18 (9–10): 586–591. doi:10.1016/j.crhy.2017.10.016.
4. Barna, I.F.; Mátyás, L. (2021). "Analytic Solutions of a Two-Fluid Hydrodynamic Model". Mathematical Modelling and Analysis. 26 (4): 582{590. arXiv:2004.09815. doi:10.3846/mma.2021.13637.