scholarly journals The Navier-Stokes-Cahn-Hilliard equations for mildly compressible binary fluid mixtures

2021 ◽  
Vol 26 (1) ◽  
pp. 337-366
Author(s):  
Andrea Giorgini ◽  
◽  
Roger Temam ◽  
Xuan-Truong Vu ◽  
2019 ◽  
Vol 873 ◽  
pp. 459-474 ◽  
Author(s):  
Prasad Perlekar

We conduct direct numerical simulations (DNS) of the Cahn–Hilliard–Navier–Stokes (CHNS) equations to investigate the statistical properties of a turbulent phase-separating symmetric binary-fluid mixture. Turbulence causes an arrest of the phase separation which leads to the formation of a statistically steady emulsion. We characterise turbulent velocity fluctuations in an emulsion for different values of the Reynolds number and the Weber number. Our scale-by-scale kinetic energy budget analysis shows that the interfacial terms in the CHNS equations provide an alternative route for the kinetic energy transfer. By studying the probability distribution function (p.d.f.) of the energy dissipation rate, the vorticity magnitude and the joint-p.d.f. of the velocity-gradient invariants we show that the statistics of the turbulent fluctuations do not change with the Weber number.


1989 ◽  
Vol 63 (4) ◽  
pp. 376-379 ◽  
Author(s):  
W. Barten ◽  
M. Lücke ◽  
W. Hort ◽  
M. Kamps

Author(s):  
Adriano Tiribocchi ◽  
Antonio Piscitelli ◽  
Giuseppe Gonnella ◽  
Antonio Lamura

2012 ◽  
Vol 14 (9) ◽  
pp. 093055 ◽  
Author(s):  
A V Taraut ◽  
B L Smorodin ◽  
M Lücke

1986 ◽  
Vol 23 (1-3) ◽  
pp. 220-229 ◽  
Author(s):  
C.M. Surko ◽  
Paul Kolodner ◽  
A. Passner ◽  
R.W. Walden

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