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- W4200313102 abstract "<strong class=journal-contentHeaderColor>Abstract.</strong> Considering turbulent clouds containing small inertial particles, we investigate the effect of particle collision, in particular collisionâcoagulation, on particle clustering and particle relative motion. We perform direct numerical simulation (DNS) of coagulating particles in isotropic turbulent flow in the regime of small Stokes number (<span class=inline-formula><i>St</i>=0.001</span>â0.54) and find that, due to collisionâcoagulation, the radial distribution functions (RDFs) fall off dramatically at scales <span class=inline-formula><i>r</i>â¼<i>d</i></span> (where <span class=inline-formula><i>d</i></span> is the particle diameter) to small but finite values, while the mean radial component of the particle relative velocity (MRV) increases sharply in magnitude. Based on a previously proposed FokkerâPlanck (drift-diffusion) framework, we derive a theoretical account of the relationship among particle collisionâcoagulation rate, RDF and MRV. The theory includes contributions from turbulent fluctuations absent in earlier mean-field theories. We show numerically that the theory accurately accounts for the DNS results (i.e., given an accurate RDF, the theory could produce an accurate MRV). Separately, we also propose a phenomenological model that could directly predict MRV and find that it is accurate when calibrated using fourth moments of the fluid velocities. We use the model to derive a general solution of RDF. We uncover a paradox: the past empirical success of the differential version of the theory is theoretically unjustified. We see a further shape-preserving reduction of the RDF (and MRV) when the gravitational settling parameter (<span class=inline-formula><i>S</i><sub><i>g</i></sub></span>) is of order <span class=inline-formula><i>O</i>(1)</span>. Our results demonstrate strong coupling between RDF and MRV and imply that earlier isolated studies on either RDF or MRV have limited relevance for predicting particle collision rate." @default.
- W4200313102 created "2021-12-31" @default.
- W4200313102 creator A5075121031 @default.
- W4200313102 date "2021-12-29" @default.
- W4200313102 modified "2023-10-03" @default.
- W4200313102 title "Reply on RC2" @default.
- W4200313102 doi "https://doi.org/10.5194/acp-2021-844-ac2" @default.
- W4200313102 hasPublicationYear "2021" @default.
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