Particle Size Analysis and Characterization of a Classification Process

Leschonski, Kurt

doi:10.1002/14356007.b02_02

Cited by 3 publications

(3 citation statements)

References 37 publications

(43 reference statements)

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“…This concept is quite common in particle sizing. 6 A next question arising from this comparison is how such an attenuation equivalent diameter relates to the equivalent diameters based on geometrical particle properties.…”

Section: Discussionmentioning

confidence: 99%

“…Measured size distributions are then regarded as the diameter distributions of spheres with equivalent sound attenuation. 6 This interpretation actually requires that the attenuation spectrum of monosized nonspherical particles matches with the attenuation spectrum of spheres of a certain size. In fact, this assumption has never been verified.…”

Section: Introductionmentioning

confidence: 99%

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Sound attenuation by small spheroidal particles due to visco-inertial coupling

Babick

Richter

2006

The Journal of the Acoustical Society of America

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The sound attenuation at ultrasonic frequencies caused by small spheroidal particles in a fluid is examined with regard to the size parameters that determine the shape of the attenuation spectrum. Our investigations are based on a coupled phase model for spheroids with arbitrary orientation, thus facilitating the calculation of average attenuation for a given orientation distribution. Since the model just considers the visco-inertial coupling, its applicability is restricted to small solid particles with high density contrast. The calculated attenuation spectra of mono-sized, randomly aligned spheroidal particles are compared with the attenuation spectra of mono-sized spheres. When the latter approximate the former to a reasonable degree the size of the spheres is called attenuation equivalent diameter. It is shown that the concept of attenuation equivalent diameter can be applied only to slightly elongated prolates. Oblates and very stretched prolates yield considerably broader attenuation spectra than mono-sized spheres. While for oblates and for slightly elongated prolates the characteristic frequency of the attenuation spectrum is determined by the volume specific surface, no such attenuation determining size parameter could be identified for very stretched prolates.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Sound attenuation by small spheroidal particles due to visco-inertial coupling

Babick

Richter

2006

The Journal of the Acoustical Society of America

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show abstract

“…The average slope of this straight line can be obtained from conventional regression analysis. Different methods have been suggested by Leschonski [7]. If the size distributions, Q 1 x, Q 2 x and Q 0 x, have been measured several times, a measure of uncertainty at a given particle size can be calculated applying the error propagation law to Eq.…”

Section: Quality Assessmentmentioning

confidence: 99%