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Gyration radius of an aggregate (floc) is a characteristic radius of the aggregate, rg, defined as the square root of the mass-weighed average square radius (for example, Jackson GR et al 1997):
| rg = (M -1 ∑i |ri - rm0|2 mi )1/2 | (1) |
where ri is the position vector of the i-th primary particle of the aggregate, mi is its mass, M is the mass of the aggregate, and rm0 is the mass center of the aggregate.
| rm0 = M -1 ∑i ri mi | (2) |
The summations are carried over all primary particles of the aggregate.
If the aggregate is composed of N identical primary particles, the gyration radius simplifies as follows (for example, Fillippov AV et al 2000):
| rg = [N -1 ∑i |ri - r0|2 ]1/2 | (3) |
where r0 is the geometric center of the aggregate,
| r0 = N -1 ∑i ri | (4) |
Gyration diameter, twice the gyration radius, can also be used to characterize the aggregate size.
| CITATION: Jonasz M. 2008. Gyration radius of an aggregate (www.tpdsci.com/Tpc/AggGyRad.php). In: Top. Part. Disp. Sci. (www.tpdsci.com). |
HISTORY: Published: 16-Jan-2008 Modified: 28-Jan-2008 Peer-reviewed: 28-Jan-2008 |
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