TPDSci PSD Mean particle size

Mean particle size

Alderliesten M 1991, 1990 generalized the concept of the mean particle size, D_m, by defining a Moment-Ratio (M-R) family of mean particle sizes (diameters) for a population of particles with a number frequency size distribution, n(D), where D is the particle size (diameter), as follows:

D_m_{| p q}

= [

∫₀^∞ D^p n(D) dD

∫₀^∞ D^q n(D) dD

]^{1 / (p - q)}

(1)

where p and q are integers and p ≠ q, and as follows:

D_m_{| p p}

= exp [

∫₀^∞ D^p n(D) d lnD

∫₀^∞ D^p n(D) dD

]

(2)

when p = q.

Note that, when p - q = 1, then Eq. 1 yields the ratio of the p-th and q-th moments of the size distribution. For example:

D₃₂	= M₃ / M₂
	= D_m_{\| 32}	(3)

Alderliesten M 2002 evaluates methods of calculating the mean particle sizes (diameters) by using particle size distribution data in the histogram format. Alderliesten M 2006, 2004 discussed the rationales for selecting the mean particle size (diameter) definition appropriate for a process involving a particle population.

CITATION:
Jonasz M. 2006. Mean particle size (www.tpdsci.com/Tpc/PsdMeanSz.php). In: Top. Part. Disp. Sci. (www.tpdsci.com).

HISTORY:
Published: 05-Aug-2008
Modified: 26-Jul-2008
Peer-reviewed: PENDING

Topics in Particle and Dispersion Science