Lagrangian Stochastic Modelling of Liquid Flow in a Mechanically Agitated Vessel

2021 ◽  
pp. 117318
Author(s):  
Hamzah A. Sheikh ◽  
Chiya Savari ◽  
Mostafa Barigou
2020 ◽  
Vol 892 ◽  
Author(s):  
Alessio Innocenti ◽  
Nicolas Mordant ◽  
Nick Stelzenmuller ◽  
Sergio Chibbaro


2007 ◽  
Vol 194 (9) ◽  
pp. 1229-1240 ◽  
Author(s):  
Masanori Yoshida ◽  
Masahiro Shigeyama ◽  
Tomoko Hiura ◽  
Kazuaki Yamagiwa ◽  
Akira Ohkawa ◽  
...  

2008 ◽  
Vol 86 (2) ◽  
pp. 160-167 ◽  
Author(s):  
Masanori Yoshida ◽  
Tomoko Hiura ◽  
Kazuaki Yamagiwa ◽  
Akira Ohkawa ◽  
Shuichi Tezura
Keyword(s):  

1994 ◽  
Vol 280 ◽  
pp. 69-93 ◽  
Author(s):  
Gianni Pedrizzetti ◽  
Evgeny A. Novikov

We consider Lagrangian stochastic modelling of the relative motion of two fluid particles in the inertial range of a turbulent flow. Eulerian analysis of such modelling corresponds to an equation for the Eulerian probability distribution of velocity-vector increments which introduces a hierarchy of constraints for making the model consistent with results from the theory of locally isotropic turbulence. A nonlinear Markov process is presented, which is able to satisfy exactly, in the statistical sense, incompressibility, the exact results on the third-order structure function, and the experimental second-order statistics. The corresponding equation for the Eulerian probability density of velocity-vector increments is solved numerically. Numerical results show non-Gaussian statistics of the one-dimensional Lagrangian probability distributions, and a complex shape of the three-dimensional Eulerian probability density function. The latter is then compared with existing experimental data.


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