Abstract
A mathematical model of the problem of aerosol aspiration into a thin-walled tube from a moving gas is developed and particle concentration fields are calculated. In the absence of a particle effect on the gas flow, the carrier medium is calculated in the potential-flow and viscous-flow approximations for an incompressible gas, using boundary-element and finite-volume methods. For the viscous-flow model, a numerical solution is found using the FLUENT program. The particle motion equations are complemented with equations for calculating the concentration along the particle trajectories. The spatial distributions of the particle concentration near and inside the sampler are studied for different ratios of the wind and aspiration velocities and for different Stokes numbers. The effect of nonuniformity of the particle concentration distributions on the aspiration coefficient is discussed.
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References
J.H. Vincent, Aerosol Sampling: Science and Practice (Wiley, Chichester, 1989).
L.M. Levin, Studies on the Physics of Coarse Aerosols [in Russian] (Izd. AN USSR, Moscow, 1961).
V.M. Voloshchuk, Introduction to the Hydrodynamics of Coarse Aerosols [in Russian] (Gidrometeoizdat, Leningrad, 1971).
S.J. Dunnet and D.B. Ingham, The Mathematics of Blunt Body Sampling (Springer, Berlin, 1988).
S. Grinshpun, G.N. Lipatov, and A.G. Sutugin, “Sampling Errors in Cylindrical Nozzles,” Aerosol Sci. Techn. 12(3), 716–740 (1990).
V. Vitols, “Theoretical Limits of Errors due to Anisokinetic Sampling,” J. Air Pollut. Control Assoc. 16(2), 79–84 (1966).
S.J. Dunnett,“A Numerical Study of the Aspiration Efficiency of a Thin-Walled Sampler Facing theWind for High Velocity Ratios,” J. Aerosol Sci. 36(1), 111–121 (2005).
D.J. Rader and V.A. Marple, “A Study of the Effects of Anisokinetic Sampling,” Aerosol Sci. Techn. 8(3), 283–299 (1988).
B.Y.H. Liu, Z.Q. Zhang, and T.H. Kuehn, “A Numerical Study of Inertial Errors in Anisokinetic Sampling,” J. Aerosol Sci. 20(3), 367–380 (1989).
A.A. Medvedev, “Numerical Study of Aerosol Particle Sampling from a Low-Speed Flow,” Atmos. Oceanic Optics 15(8), 663–666 (2002).
M. Kramer and A. Afchine, “Sampling Characteristics of Inlets Operated at Low U/U 0 Ratios: New Insights from Computational Fluid Dynamics (CFX) Modeling,” J. Aerosol Sci. 35, 683–694 (2004).
A.N. Osiptsov, “Modified Lagrangian Method for Calculating the Particle Concentration in Dusty-Gas Flows with Intersecting Particle Trajectories,” in: Proc. 3rd Intern. Conf. Multiphase Flow, ICMF’98, Lyon, France, 1998. Paper 236. 8p.
S.K. Zaripov, M.V. Vanyunina, Osiptsov A.N., and E.V. Skvortsov, “Calculation of Concentration of Aerosol Particles Around a Slot Sampler,” Atmos. Environ. 41, 4773–4780 (2007).
A.K. Gil’fanov and S.K. Zaripov, “Calculation of the Particle Concentration Field in the Problem of Aerosol Aspiration from Moving Air,” Fluid Dynamics 43(4), 563–572 (2008).
G.K. Batchelor, An Introduction to Fluid Dynamics (Cambridge Univ. Press, Cambridge, 2000).
A. Robinson, “On the Motion of Small Particles in a Potential Field of Flow,” Commun. Pure and Appl. Math. 9(1), 69–84 (1956).
G. Ramachandran, A. Sreenath, and J.H. Vincent, “Towards a New Method for Experimental Determination of Aerosol Sampler Aspiration Efficiency in Small Wind Tunnels,” J. Aerosol Sci. 29(7), 875–891 (1998).
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Original Russian Text © A.K. Gil’fanov, Sh.Kh. Zaripov, D.V. Maklakov, 2009, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2009, Vol. 44, No. 6, pp. 89–99.
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Gil’fanov, A.K., Zaripov, S.K. & Maklakov, D.V. Calculation of particle concentration in the problem of aerosol aspiration into a thin-walled tube. Fluid Dyn 44, 873–881 (2009). https://doi.org/10.1134/S0015462809060106
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DOI: https://doi.org/10.1134/S0015462809060106