Deposition rates from polydispersed particle populations of arbitrary spread

Authors

  • Daniel E. Rosner,

    1. Yale University, Department of Chemical Engineering, High Temperature Chemical Reaction, Engineering Laboratory, New Haven, CT 06520
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  • Menelaos Tassopoulos

    1. Yale University, Department of Chemical Engineering, High Temperature Chemical Reaction, Engineering Laboratory, New Haven, CT 06520
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Abstract

For particle deposition from log-normal polydispersed aerosol streams by one or more of several mechanisms described by piecewise-power-law mass transfer coefficients, we derive useful relations between actual total mass deposition rates and the ‘reference’ rate one would calculate by imagining that all particles in the mainstream population had the average particle volume v(=ϕp/Np). Included here are diffusion or inertial mechanisms for laminar- or turbulent-boundary layers, free-molecular or continuum diffusion at high Peclet numbers of dense spherical particles, or fractal agglomerates. The mainstream particle volume distribution is considered to be log-normal with arbitrary ‘spread’ parameter, thereby generalizing earlier results for “coagulation-aged” (self-preserving) distributions. Further generalizations include transitions between important particle transport mechanisms, opening the way to efficient, finite-analytic methods for predicting mass deposition rates for arbitrary, size-dependent particle capture efficiencies.

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