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CONVECTIVE FLOW-INDUCED SHORT TIMESCALE SEGREGATION IN A DILUTE BIDISPERSE PARTICLE SUSPENSION

J. F. VALENZUELA

National Institute of Physics, University of the Philippines Diliman, Quezon City 1101, Philippines

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and

C. MONTEROLA

National Institute of Physics, University of the Philippines Diliman, Quezon City 1101, Philippines

Corresponding author.

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https://doi.org/10.1142/S0129183108013278Cited by:6 (Source: Crossref)

Abstract

We examine the segregation and mixing dynamics of a dilute bidisperse suspension of particles in a fluid subjected to a temperature gradient. Configurations corresponding to varying uniform bottom wall temperatures, as well as various bottom wall temperature profiles, are examined. Measures of spatial segregation and aggregation are discussed and used to analyze the suspension's dynamics. The results show that the difference in mass lead to transient segregation at short time scales, together with long-term intermixing and aggregation. Comparison of the segregation and aggregation among different configurations reveal that the strength of the temperature gradient is the primary influence on both segregation and aggregation. The particles are driven the fastest into the long – term steady state in the uniform and Gaussian bottom temperature profiles. In addition, the qualitative features of transient segregation do not change if the difference in mass is varied. The results suggest that a fluid undergoing thermal convection can be used to segregate particles, but only at short times, as fluid reaches its steady state. Keeping a fluid indefinitely in a transient state may improve the duration of segregation.

Keywords:

PACS: 47.55.P-, 47.57.E-, 83.50.Xa, 83.10.Rs

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References

J. C. H. Fung and J. C. Vassilicos, Phys. Rev. E 68, 046309 (2003), DOI: 10.1103/PhysRevE.68.046309. Web of Science, Google Scholar
D. Semwogerere and E. R. Weeks, Phys. Fluids 20, 043306 (2008), DOI: 10.1063/1.2907378. Web of Science, Google Scholar
A. Rosatoet al., Phys. Rev. Lett. 58, 1038 (1987), DOI: 10.1103/PhysRevLett.58.1038. Web of Science, Google Scholar
L. Trujillo, M. Alam and H. J. Herrmann, Europhys. Lett. 64, 190 (2003), DOI: 10.1209/epl/i2003-00287-1. ADS, Google Scholar
J. B. Knight, H. M. Jaeger and S. R. Nagel, Phys. Rev. Lett. 70, 3728 (1993), DOI: 10.1103/PhysRevLett.70.3728. Web of Science, ADS, Google Scholar
J. B. Knightet al., Phys. Rev. E 54, 5726 (1996), DOI: 10.1103/PhysRevE.54.5726. Web of Science, ADS, Google Scholar
W. Cookeet al., Phys. Rev. E 53, 2812 (1996), DOI: 10.1103/PhysRevE.53.2812. Web of Science, Google Scholar
D. C. Hong, P. V. Quinn and S. Luding, Phys. Rev. Lett. 86, 3423 (2001), DOI: 10.1103/PhysRevLett.86.3423. Web of Science, ADS, Google Scholar
S. S. Hsiau and M. L. Hunt, Acta Mech. 114, 121 (1996), DOI: 10.1007/BF01170399. Web of Science, Google Scholar
M. Schroteret al., Phys. Rev. E 74, 011307 (2006), DOI: 10.1103/PhysRevE.74.011307. Web of Science, Google Scholar
M. A. Naylor, M. R. Swift and P. J. King, Phys. Rev. E 68, 012301 (2003), DOI: 10.1103/PhysRevE.68.012301. Web of Science, Google Scholar
D. A. Wolf Gladrow , Lattice-Gas Cellular Automata and Lattice Boltzmann Models ( Springer , Berlin , 2000 ) . Google Scholar
S. Succi , The Lattice Boltzmann Equation for Fluid Dynamics and Beyond ( Clarendon Press , Oxford , 2001 ) . Crossref, Google Scholar
B. Ferreol and D. H. Rothman, Trans. Porous Med. 20, 3 (1995), DOI: 10.1007/BF00616923. Web of Science, Google Scholar
A. K. Gunstensenet al., Phys. Rev. A 43, 4320 (1991), DOI: 10.1103/PhysRevA.43.4320. Web of Science, ADS, Google Scholar
X. Shan and H. Chen, Phys. Rev. E 47, 1815 (1993), DOI: 10.1103/PhysRevE.47.1815. Web of Science, Google Scholar
M. R. Swift, W. R. Osborn and J. M. Yeomans, Phys. Rev. Lett. 75, 830 (1995), DOI: 10.1103/PhysRevLett.75.830. Web of Science, ADS, Google Scholar
X. He, X. Shan and G. D. Doolen, Phys. Rev. E 57, R13 (1998), DOI: 10.1103/PhysRevE.57.R13. Web of Science, ADS, Google Scholar
D. O. Martinezet al., Phys. Fluids 6, 1285 (1994), DOI: 10.1063/1.868296. Web of Science, ADS, Google Scholar
S. Houet al., J. Comput. Phys. 118, 329 (1995), DOI: 10.1006/jcph.1995.1103. Web of Science, ADS, Google Scholar
X. He, H. Chen and G. D. Doolen, J. Comput. Phys. 146, 282 (1998), DOI: 10.1006/jcph.1998.6057. Web of Science, ADS, Google Scholar
Y. Peng, C. Shu and Y. T. Chew, Phys. Rev. E 68, 026701 (2003), DOI: 10.1103/PhysRevE.68.026701. Web of Science, Google Scholar
U. Frisch, B. Hasslacher and Y. Pomeau, Phys. Rev. Lett. 56, 1505 (1986), DOI: 10.1103/PhysRevLett.56.1505. Web of Science, ADS, Google Scholar
G. R. McNamara and G. Zanetti, Phys. Rev. Lett. 61, 2332 (1988), DOI: 10.1103/PhysRevLett.61.2332. Web of Science, ADS, Google Scholar
F. Higuera and J. Jimenez, Europhys. Lett. 9, 663 (1989), DOI: 10.1209/0295-5075/9/7/009. ADS, Google Scholar
X. He and L. S. Luo, Phys. Rev. E 55, R6333 (1997), DOI: 10.1103/PhysRevE.55.R6333. Web of Science, ADS, Google Scholar
P. Ahlrichs and B. Dünweg, J. Chem. Phys. 111, 8225 (1999), DOI: 10.1063/1.480156. Web of Science, ADS, Google Scholar
E. Meiburget al., J. Fluid Mech. 421, 185 (2000), DOI: 10.1017/S0022112000001737. Web of Science, ADS, Google Scholar
W. Linget al., J. Fluid Mech. 358, 61 (1998), DOI: 10.1017/S0022112097008227. Web of Science, ADS, Google Scholar
L. Verlet, Phys. Rev. 159, 98 (1967), DOI: 10.1103/PhysRev.159.98. Web of Science, ADS, Google Scholar
O. D. Duncan and B. Duncan, Am. Soc. Rev. 20, 210 (1955), DOI: 10.2307/2088328. Web of Science, Google Scholar
B. Liu and J. Zhang, Phys. Rev. Lett. 100, 244501 (2008), DOI: 10.1103/PhysRevLett.100.244501. Web of Science, ADS, Google Scholar
Supplementary materials (programming codes) available at:http://www.nip.upd.edu.ph/ipl/mem/homepages/cmonterola/ . Google Scholar