Skip to main content
Log in

Nanoparticle distribution in a rotating curved pipe considering coagulation and dispersion

  • Research Paper
  • Published:
Science China Physics, Mechanics and Astronomy Aims and scope Submit manuscript

Abstract

We study the evolution of the particle number concentration, mass concentration, particle polydispersity, particle diameter and geometric standard deviation considering particle coagulation and dispersion in a rotating curved pipe at different Reynolds number, Schmidt number and F number. It is found that, when the Coriolis force and the centrifugal force point to the same direction, particles concentrate near the outside edge of the pipe, which becomes more obvious as time goes by. The particle number and mass concentration increase faster at the early stage than that at the later stage, and approach a stable value finally. As the coagulation proceeds, the particle diameter, polydispersity and geometric standard deviation increase and have high values in the region close to the outside edge of the pipe. When the Coriolis force and the centrifugal force point to the opposite direction and the Coriolis force is more dominant than the centrifugal force, particles concentrate near the inside edge of the pipe. The particles in the region with a high number concentration have high mass concentration, large diameter and high polydispersity as well as large geometric standard deviation. The particle distribution is dependent on the balance of the pipe curvature and rotating speed. The Reynolds number and the Schmidt number have effects on the particle distribution when other parameters remain unchanged. An increase in the Reynolds number leads to an increase in particle number concentration and mass concentration, and a decrease in particle polydispersity, particle diameter and geometric standard deviation. With the increase of Schmidt number the particle number concentration and mass concentration increase, and the particle polydispersity, particle diameter and geometric standard deviation decrease.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Kittelson D B. Engines and nanoparticles: A review. J Aerosol Sci, 1998, 29: 575–588

    Article  Google Scholar 

  2. Chan T L, Lin J Z, Zhou K, et al. Simultaneous numerical simulation of nano and fine particle coagulation and dispersion in a round jet. J Aerosol Sci, 2006, 37: 1545–1561

    Article  Google Scholar 

  3. Yu M Z, Lin J Z, Chan T L. Effect of precursor loading on non-spherical TiO2 nanoparticle synthesis in a diffusion flame reactor. Chem Eng Sci, 2008, 63: 2317–2329

    Article  Google Scholar 

  4. Ding W L, Wen D S. Particle migration in a flow of nanoparticle suspension. Powd Tech, 2005, 149: 84–92

    Article  Google Scholar 

  5. Jang S P, Lee J H, Hwang K S, et al. Particle concentration and tube size dependence of viscosities of Al2O3-water nanofluids flowing through micro- and minitubes. Appl Phys Lett, 2007, 91: 243112

    Article  ADS  Google Scholar 

  6. Mirmasoumi S, Behzadmehr A. Numerical study of laminar mixed convection of a nanofluid in a horizontal tube using two-phase mixture model. Appl Thermal Eng, 2008, 28: 717–727

    Article  Google Scholar 

  7. Jwo C S, Teng T P, Wu D J, et al. Research on pressure loss of alumina nanofluid flow in a pipe. J Chin Soc Mech Eng, 2009, 30: 511–517

    Google Scholar 

  8. Peng H, Ding G L, Jiang W T, et al. Measurement and correlation of frictional pressure drop of refrigerant-based nanofluid flow boiling inside a horizontal smooth tube. Int J Refrig, 2009, 32: 1756–1764

    Article  Google Scholar 

  9. Lai W Y, Phelan P E, Prasher R S. Pressure-drop viscosity measurements for gamma-Al2O3 nanoparticles in water and PG-water mixtures (Nanofluids). J Nanosci Nanotech, 2010, 10: 8026–8034

    Article  Google Scholar 

  10. Qian M, Yan Q, Ni X W, et al. Detection of nanoparticle Brownian motions in a nanofluid using laser speckle velocimetry. Lasers Eng, 2010, 20: 117–128

    Google Scholar 

  11. Shi H, Kleinstreuer C, Zhang Z. Dilute suspension flow with nanoparticle deposition in a representative nasal airway model. Phys Fluids, 2008, 20: 013301

    Article  ADS  Google Scholar 

  12. Akbarinia A. Impacts of nanofluid flow on skin friction factor and Nusselt number in curved tubes with constant mass flow. Int J Heat Fluid Flow, 2008, 29: 229–241

    Article  Google Scholar 

  13. Shi H, Kleinstreuer C, Zhang Z, et al. Nanoparticle transport and deposition in bifurcating tubes with different inlet conditions. Phys Fluids, 2004, 16: 2199–2213

    Article  ADS  Google Scholar 

  14. Akbarinia A, Behzadmehr A. Numerical study of laminar mixed convection of a nanofluid in horizontal curved tubes. Appl Thermal Eng, 2007, 27: 1327–1337

    Article  Google Scholar 

  15. Lin P F, Lin J Z. Prediction of nanoparticle transport and deposition in bends. Appl Math Mech, 2009, 30: 957–968

    Article  MATH  Google Scholar 

  16. Akbarinia A, Behzadmehr A, Saffar-Avval M. Numerical study of nanofluid mixed convection in a horizontal curved tube using two-phase approach. Heat Mass Transfer, 2011, 47: 107–118

    Article  ADS  Google Scholar 

  17. Wright D L, Yu S C, Shaocai Y, et al. Retrieval of aerosol properties from moments of the particle size distribution for kernels involving the step function: Cloud droplet activation. J Aerosol Sci, 2002, 33: 319–337

    Article  Google Scholar 

  18. Lee K W, Chen H. Coagulation rate of polydisperse particles. Aerosol Sci Tech, 1984, 3: 327–334

    Article  Google Scholar 

  19. McGraw R. Description of aerosol dynamics by the quadrature method of moments. Aerosol Sci Tech, 1997, 27: 255–265

    Article  Google Scholar 

  20. Barrett J C, Jheeta J S. Improving the accuracy of the moments method for solving the aerosol general dynamic equation. J Aerosol Sci, 1996, 27:1135–1142

    Article  Google Scholar 

  21. Yu M Z, Lin J Z, Chan T L. A new moment method for solving the coagulation equation for particles in Brownian motion. Aerosol Sci Tech, 2008, 42: 705–713

    Article  Google Scholar 

  22. Yu M Z, Lin J Z. Taylor-expansion moment method for agglomerate coagulation due to Brownian motion in the entire size regime. J Aerosol Sci, 2009, 40: 549–562

    Article  MathSciNet  Google Scholar 

  23. Yu M Z, Lin J Z, Chan T L. Numerical simulation for nucleated vehicle exhaust particulate matters via the TEMOM/LES method. Int J Modern Phys C, 2009, 20: 399–421

    Article  MATH  ADS  Google Scholar 

  24. Olson D E, Snyder B. The upstream scale of flow development in curved circular pipes. J Fluid Mech Digital Arch, 1985, 150: 139–158

    ADS  Google Scholar 

  25. Ishigaki K. Analogy between developing laminar flows in curved pipes and orthogonally rotating pipes. JSME Int J Ser B Fluids Thermal Eng, 1999, 42: 197–205

    Article  Google Scholar 

  26. Ma J, Shen X, Zhang M, et al. Laminar developing flow in the entrance region of rotating curved pipes. J Hydrodyn, 2006, 18: 418–423

    Article  MATH  Google Scholar 

  27. Friedlander S K. Smoke, Dust and Haze: Fundamentals of Aerosol Behavior. New York: Wiley, 2000

    Google Scholar 

  28. Upadhyay R R, Ezekoye O A. Evaluation of the 1-point quadrature approximation in QMOM for combined aerosol growth laws. J Aerosol Sci, 2003, 34: 1665–1683

    Article  Google Scholar 

  29. Settumba N, Garrick S C. A comparison of diffusive transport in a moment method for nanoparticle coagulation. J Aerosol Sci, 2004, 35: 93–101

    Article  Google Scholar 

  30. Hinds W C. Aerosol Technology: Properties, Behavior, and Measurement of Airborne Particles. New York: Wiley-Interscience, 1982

    Google Scholar 

  31. Pratsinis S E. Simultaneous nucleation, condensation, and coagulation in aerosol reactor. J Colloid Interface Sci, 1988, 124: 416–417

    Article  Google Scholar 

  32. Patankar S V. Numerical Heat Transfer and Fluid Flow. New York: Hemisphere, 1980

    MATH  Google Scholar 

  33. Ishigaki H. Laminar flow in rotating curved pipes. J Fluid Mech, 1996, 329: 373–388

    Article  MATH  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to JianZhong Lin.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lin, J., Lin, P. & Chen, H. Nanoparticle distribution in a rotating curved pipe considering coagulation and dispersion. Sci. China Phys. Mech. Astron. 54, 1502–1513 (2011). https://doi.org/10.1007/s11433-011-4386-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11433-011-4386-x

Keywords

Navigation