Revising the Fuchs “Boundary Sphere” Method
The Fuchs “boundary sphere” method used in theory of aerosol coagulation and condensation in the transition Knudsen regime (0.1 ≤ Kn ≤ 10) is critically analyzed. Based on the Poisson-type model of Brownian motion of colliding particles and a “probabilistic theorem”, we demonstrate that the Knudsen layer near the “sphere of influence” is characterized with a finite probability to find moving particles there, if space is isotropic. Therefore Fuchs’ hypothesis about “vacuum” in the Knudsen layer is not physically correct.
Keywords Aerosols, coagulation, condensation, Fuchs’ boundary sphere method, Knudsen’s layer, nanoparticles, Poisson’s distribution, transition flow regime
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