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 March 16, 2001, 05:41 About Stokes number #1 Jie Guest   Posts: n/a Sponsored Links Dear All, Stokes number seems a frequently empolyed dimensionless number is fluid-particle two-phase flows. Is there anyone who could kindly tell me the defination and physical meaning of this number? Many thanks! Jie Li

 March 16, 2001, 19:08 Re: About Stokes number #2 George Bergantz Guest   Posts: n/a The Stokes number is a very powerful concept, and has been extended to included a heat transfer or mass transfer Stokes-like number. The Stokes number is the characteristic response time of the fluid divided by the characteristic response time of the particle. If the Stokes number is small, that is much less than 1, it means that the particle motion is tightly coupled to the fluid motion- that is the particle dispersal is the same as the fluid dispersal. This suggests that mixture theory can be used instead of full multiphase approach as there is little relative motion between phases locally. If the Stokes number is large, the particles are not influences by the fluid- their response time is longer than the time the fluid has to act on it (the fluid time scale may be the rotation time of a characteristic eddy) and so the particle will pass through the flow without much deflection in its initial trajectory. The interesting case is where the Stokes number is about one- now the particles migrate to the margins of the eddy and hence 'unmixes'. All very interesting. Here are some references I found very useful: This first paper is superb, full of physical insights: Raju & Meiburg, 1995, "The accumulation and dispersion of heavy particles in forced two-dimensional mixing layers. Part 2. The effect of gravity", Phys. Fluids, v. 7, p. 1241-1264. Another good one with nice illustrations: Tang et al., 1992, "Self-organizing particle dispersion mechanism in free shear flows", Phys. Fluids, v. A4, p. 2244-2249. me.ouda likes this.

 March 16, 2001, 19:14 OPPPPS- got it backwards #3 George Bergantz Guest   Posts: n/a Sorry- everything I said in previous message is okay EXCEPT that the Stokes number is the ratio of the particle response time to the characteristic fluid time scale. I stated just the reverse above, and that was wrong. Sorry all.

 March 20, 2001, 05:40 Re: About Stokes number #4 Jie Guest   Posts: n/a Dear George Bergantz, Many thanks for your kind explanations which is helpful. Are you also involved in particulate two-phase flow research. This seems a quite promising area and very interesting, Particularly the pattern formation. Thank you again. Jie

 November 8, 2010, 08:04 #5 New Member   Join Date: Sep 2010 Posts: 6 Rep Power: 8 Hi i am modeling a naca0012 in heavy rain with fluent dpm model and steady state treatment(for particle and phase)..my question is where can i find the τ (relaxation time) for my airfoil to calculate the stokes number?

 May 23, 2011, 23:13 Stokes number #6 New Member   viva Join Date: Jan 2011 Posts: 14 Rep Power: 8 hi, Could you advice me how to calculate Stoke's number for a fluid-particle system? Thanks

 May 24, 2011, 10:02 Re: Stokes number #7 New Member   Nizkaya Tatiana Join Date: May 2011 Posts: 1 Rep Power: 0 Hello, viva! The exact definition of Stokes number might differ slightly depending on the application area. Relaxation time for a small spherical particle in still fluid is: tau_p= 2/9 a^2/nu/R, where R=2*rho_f/(2*rho_p+rho_f), rho_p and rho_f are particle and fluid densities respectively, nu is kinelatic viscosity of the fluid. For aerosols (rho_f<

 May 26, 2011, 17:20 #8 New Member   viva Join Date: Jan 2011 Posts: 14 Rep Power: 8 Thanks alot Martlet. It was a great help. thanks

 February 5, 2017, 08:55 #9 New Member   Join Date: Mar 2012 Location: ibk, austria Posts: 3 Rep Power: 7 @martlet can you please send me some literature hints regarding the stokes number for small solid particles?

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