Summary
The motion of an aerosol can be described by a general force balance equation, independent of the detailed structure of the flow, provided that the interaction between the external flow field and the local flow induced by the aerosol is weak. A necessary and sufficient condition for the interaction to be weak is that the length scale of the aerosol is much less than that of the external flow. High and low Reynolds number regimes can be distinguished for the motion of an aerosol relative to the external flow. In some extreme conditions the equation of motion reduces to an algebraic equation for the aerosol velocity.
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References
Basset, A. B.,Hydrodynamics (Deighton, Bell and Co., London 1888).
Batchelor, G. K.,Fluid Dynamics (Cambridge Univ. Press, London 1967).
Corrsin, S. andLumley, J. (1956),On the equation of motion for a particle in turbulent fluid, Appl. Sci. Res.6A, 114–116.
Cox, R. G. andMason, S. G. (1971),Suspended particles in fluid flow through tubes, Ann. Rev. Fluid Mech.3, 291–316.
Davies, C. N.,Air Filtration (Academic 1973).
Fuchs, N. A.,The Mechanics of Aerosols (Pergamon, London 1964).
Hidy, G. M. andBrock, J. R.,The Dynamics of Aerocolloidal Systems (Pergamon, London 1970).
Hinze, J. O.,Turbulence (McGraw-Hill 1959).
Landau, L. D. andLifshitz, E. M.,Fluid Mechanics (Pergamon, London 1959).
Manton, M. J. (1974a),On the motion of a small particle in the atmosphere, Boundary-Layer Meteorol.6, 487–504.
Manton, M. J. (1974b),The effect of a simple shear flow upon the coalescence rate of water droplets, Geophys. Fluid Dyn.6, 83–99.
Saffman, P. G. (1965),The lift on a small sphere in a slow shear flow, J. Fluid Mech.22, 385–400.
Stechkina, I. B., Kirsch, A. A., andFuchs, N. A. (1969),Studies in fibrous aerosol filters — IV calculation of aerosol deposition in model filters in the range of maximum penetration, Ann. Occup. Hyg.12, 1–8.
Tchen, C. M. (1947),Mean value and correlation problems connected with the motion of small particles suspended in a turbulent fluid, Ph.D. Thesis, Delft.
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After submission of this article the author was made aware of a similar treatment published inTopics of Appl. Phys., 12 (Turbulence, Chapter 7), Springer Verlag, Berlin, which at the time of the article's submission had not yet appeared in Australia. (Ed.)
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Manton, M.J. The equation of motion for a small aerosol in a continuum. PAGEOPH 115, 547–559 (1977). https://doi.org/10.1007/BF00876120
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DOI: https://doi.org/10.1007/BF00876120