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- W2017673463 abstract "Aerosol particles in flames or in the upper reaches of the atmosphere have, in many cases, dimensions comparable to or smaller than the local mean free path, λ. In order to predict the collision and coagulation rates between particles smaller than λ, accurate expressions for the torques and forces due to hydrodynamic interactions between the particles in the free-molecular regime are needed. In this article, we propose a general method to study the hydrodynamic interactions between two convex bodies moving in an extremely rarefied gas. The particle sizes and inter-particle separation are assumed to be smaller than the mean free path of the gas. Under conditions of small Mach number, the governing equations are quasi-steady and linear. The problem is reduced to solving two coupled integral equations for the molecular number densities at the particle surfaces. The induced forces and torques are then calculated by simple quadrature. Using this method, we study the hydrodynamic interactions between two infinitely long, right circular cylinders, of equal radii, a, separated by a center to center distance, aχ. In many cases, the qualitative nature of the forces and torques in the free-molecular regime are quite different from that in the corresponding continuum flow low Reynolds number problems." @default.
- W2017673463 created "2016-06-24" @default.
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- W2017673463 date "1997-11-01" @default.
- W2017673463 modified "2023-10-18" @default.
- W2017673463 title "A method for calculating hydrodynamic interactions between two bodies in low Mach number free-molecular flows with application to the resistivity functions for two aligned cylinders" @default.
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- W2017673463 doi "https://doi.org/10.1063/1.869463" @default.
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