Closed-form expressions for particle relative velocities induced by turbulence

In this note we present complete, closed-form expressions for random relative velocities between colliding particles of arbitrary size in nebula turbulence. These results are exact for very small particles (those with stopping times much shorter than the large eddy overturn time) and are also surprisingly accurate in complete generality (that is, also apply for particles with stopping times comparable to, or much longer than, the large eddy overturn time). We note that some previous studies may have adopted previous simple expressions, which we find to be in error regarding the size dependence in the large particle regime.

Note:

Submitted to Astron.Astrophys.

PLANETARY SYSTEMS
PROTOPLANETARY DISKS

References(7)

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- Icarus 106 102

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Dust size growth and settling in a protoplanetary disk

Hideko Nomura
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e-Print:
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DOI:
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Early dust evolution in protostellar accretion disks

- Astrophys.J. 551 (2001) 461
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e-Print:
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•
DOI:
- 10.1086/320061

- Icarus 60 553