Fokker-Planck equation solution of aerosol Brownian coagulation with an interparticle potential
- Creators
- Huang, David D.
- Seinfeld, John H.
Abstract
For the Brownian coagulation of aerosol particles in the transition regime of Knudsen number in the presence of an interparticle potential, the Fokker-Planck equation is solved by using Grad's 13-moment method. Mass and energy accommodation coefficients are interfaced with the Fokker—Planck moment equations through the use of half-range fluxes. Analytical solutions of the potential-free situation are obtained for arbitrary values of the accomodation coefficients. Numerical solutions of the number and energy flux profiles for a repulsive or an attractive interparticle potential of power-law form are obtained by a two-dimensional shooting scheme. This numerical algorithm is further applied to calculate the coagulation coefficient between two transition regime particles under either a van der Waals potential or a Coulombic potential. The results are in good agreement with those predicted by the flux-matching method of Fuchs. The present fundamental approach, therefore, provides theoretical support of the coagulation coefficient expression obtained by the empirical flux-matching method in the presence of an interparticle potential.
Additional Information
This work was supported by National Science Foundation Grant ATM-8503103.Additional details
- Eprint ID
- 119654
- Resolver ID
- CaltechAUTHORS:20230305-96748800.10
- ATM-8503103
- NSF
- Created
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2023-03-06Created from EPrint's datestamp field
- Updated
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2023-03-06Created from EPrint's last_modified field