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Direct numerical simulation of particle Brownian motion in a fluid with inhomogeneous temperature field

In this work the fluctuating-lattice Boltzmann method was adopted to numerically investigate the Brownian motion of particles in a fluid with inhomogeneous temperature field. It has been found that the Brownian particles are preferential to randomly move into a cold fluid area. Once the particles go into the cold area, the boundary between the hot fluid and cold fluid acts like a temperature barrier, preventing the particles from going out. Most important of all, the Brownian particles can be captured or collected by the cold fluid area if the temperature of cold fluid is lower than a critical value. In addition, the dependence of this critical value on the fluid viscosity is studied.
PAPER REVISED: 2018-11-30
PAPER ACCEPTED: 2019-03-15
  1. Park, J.S., et al., Temperature measurement for a nanoparticle suspension by detecting the Brownian motion using optical serial sectioning microscopy (OSSM), Measurement Science and Technology 16 (2005), 7, pp. 1418-1429.
  2. Chung, K, et al., Three-Dimensional in Situ temperature measurement in microsystems singu Brownian motion of nanoparticles, Analytical Chemistry 81, (2009), pp. 991-999.
  3. MacKintosh, F.C., et al., Microrheology, Current Opinion in Colloid & Interface Science 4, (1999), 4, pp. 300-307.
  4. Tischer, C., et al., Three-dimensional thermal noise imaging, Applied Physics Letters 79, (2001), 23, pp. 3878-3880.
  5. Jeney, S., et al., Mechanical properties of single motor molecules studies by three-dimensional thermal force probing in optical tweezers. ChemPhyChem 5, (2004), 8, pp. 1150-1158.
  6. R. Dean Astumian, Thermodynamics and Kinetics of a Brownian Motor, Science 276, (1997), pp. 917-922.
  7. Derényi, I., et al., AC separation of particles by biased Brownian motion in a two-dimensional sieve, Physical Review E 58, (1998), 6, pp. 7781-7784.
  8. Keblinski, P., et al., Mechanisms of heat flow in suspensions of nano-sized particles (nanofluids), International Journal of Heat and Mass Transfer 45, (2002), 4, pp. 855-863.
  9. Lee, S., et al., Measuring thermal conductivity of fluids containing oxide nanoparticles, Journal of Heat Transfer 121, (1999), 2, pp. 280-289.
  10. Prasher, R., et al., Thermal conductivity of nanoscale colloidal solutions (nanofluids), Physical Review Letters 94, (2005), 2, pp. 025901.
  11. Lin, B., et al., Direct measurements of constrained Brownian motion of an isolated sphere between two walls, Physical Review E 62, (2000), 3, pp. 3909-3919.
  12. Benesch, T., et al., Brownian motion in confinement, Physical Review E 68, (2003), 2, pp. 021401.
  13. Iwashita, T., et al., Short-time motion of Brownian particles in a shear flow, Physical Review E 79, (2009), 3, pp. 021401.
  14. Uma, B., et al., Nanoparticle Brownian motion and hydrodynamic interactions in the presence of flow fields, Physics of Fluids 23, (2011), 7, pp. 073602.
  15. Radiom, M., et al., Hydrodynamic interactions of two nearly touching Brownian spheres in a stiff potential: Effect of fluid inertia, Physics of Fluids 27, (2015), 2, pp. 022002.
  16. Mo, J., et al., Brownian motion as a new probe of wettability, The Journal Of Chemical Physics 146, (2017), 13, pp. 134707
  17. Cichocki, B., et al., Brownian motion of a particle with arbitrary shape, Physical Review E 142, (2015), 21, pp. 14902
  18. Jahanshahi, S., et al., Brownian motion of a circle swimmer in a harmonic trap, Physical Review E 95, (2017), 2, pp. 022606
  19. Dessup, T., et al., Enhancement of Brownian motion for a chain of particles in a periodic potential, Physical Review E 97, (2018), 2, pp. 022103
  20. Landau, L.D., et al., Fluid Mechanics, Pergamon Press, London, 1959.
  21. Aidun, C.K., et al., Lattice-Boltzmann method for complex flows, Annual Review of Fluid Mechanics 42, (2010), pp. 439-472.
  22. Nie, D., Numerical investigation of a capsule-shaped particle settling in a vertical channel, Thermal Science 16, (2012), pp.1519-1523
  23. Xian, D.Q., et al., An analytic study on the two-temperature model for electron-lattice thermal dynamic process, Thermal Science 21, (2017), pp. 1777-1782
  24. Ladd, A.J.C., Numerical Simulations of Particulate Suspensions via a Discretized Boltzmann Equation Part I. Theoretical Foundation, Journal of Fluid Mechanics 271, (1994), pp. 285-309.
  25. Ladd, A.J.C., Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part II. Numerical results, Journal of Fluid Mechanics 271, (1994), pp. 311-339.
  26. Nie, D., et al., A fluctuating lattice-Boltzmann model for direct numerical simulation of particle Brownian motion, Particuology 7, (2009), pp. 501-506.
  27. Alder, B.J., et al., Decay of the velocity autocorrelation function, Physical Review A 1, (1970), 1, pp. 18-21.
  28. Ailawadi, N.K., et al., Cooperative phenomena and the decay of the angular momentum correlation function at long times, The Journal of Chemical Physics 54, (1971), 8, pp. 3569-3571.