The Collision Rate of Nonspherical Particles and Aggregates for all Diffusive Knudsen Numbers

作者: Thaseem Thajudeen , Ranganathan Gopalakrishnan , Christopher J. Hogan

DOI: 10.1080/02786826.2012.701353

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摘要: We examine theoretically and numerically collisions of arbitrarily shaped particles in the mass transfer transition regime, where ambiguities remain regarding collision rate coefficient (collision kernel). Specifically, we show that dimensionless kernel for particles, H, depends solely on a correctly defined diffusive Knudsen number (KnD , contrast with traditional number), to determine number, it is necessary calculate two combined size parameters colliding particles: Smoluchowski radius, which defines continuum →0) projected area, free molecular →∞) regime. Algorithms are provided compute these parameters. Using mean first passage time calculations computationally generated quasifractal (statistically fractal) aggregates, find correct definitions H KnD H(KnD) relationship found valid ...

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