AN ESTIMATE OF SOME STATISTICAL PROPERTIES OF EXTINCTION SIGNALS IN DILUTE AND CONCENTRATED SUSPENSIONS OF MONOSIZED SPHERICAL-PARTICLES

被引：8

作者：

RIEBEL, U

机构：

[1] Institut für Mechanische Verfahrenstechnik und Mechanik, Universität Karlsruhe, Karlsruhe, D-7500

来源：

PARTICLE & PARTICLE SYSTEMS CHARACTERIZATION | 1991年 / 8卷 / 01期

关键词：

D O I：

10.1002/ppsc.19910080117

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

A statistical analysis is made for the extinction of radiations in suspensions, whereby the whole range of possible particle concentrations is covered. The extinction signals are characterized by their average value and by a characteristic length of fluctuation. For simplicity, the considerations are restricted to geometric ray propagation in dispersions of perfectly absorbent, monosized spherical particles. An extinction equation is derived, which reduces to Lambert-Beer's law in the limit of low particle concentrations. For higher concentrations, significant deviations from Lamberg-Beer's law due to steric particle-particle interactions are predicted. The characteristic length of the fluctuations is a function of particle diameter and transmission and has a broad minimum with medium transmissions, allowing for maximum resolution with measurements in this range.

引用

页码：95 / 99

页数：5

共 11 条

[1]

Franklin J.G., Javanaud C., Attenuation of a Plane Wave in a Two‐phase Medium, Physics Lett., 109 A, pp. 127-132, (1985)

[2]

Perdigao J.M., Gazalet N., Frohly J., Bruneel C., Coherent to Incoherent Ultrasonic Wave Conversion in Heterogeneous Media, Ultrasonics, 25, pp. 209-214, (1987)

[3]

Javanaud C., Franklin J.G., Comments on “Coherent to Incoherent Ultrasonic Wave Conversion in Heterogeneous Media”, Ultrasonics, 26, (1988)

[4]

Davy P.J., Guild F.J., The Distribution of Interparticle Distance and its Application in Finite‐element Modelling of Composite Materials, Proc. Roy. Soc. Lond. A, 418, pp. 95-112, (1988)

[5]

Benenati R.F., Brosilow C.B., Void Fraction in Beds of Spheres., AIChE Journal, 8, pp. 359-361, (1962)

[6]

Sommer K., Probenahme von Pulvern und körnigen Massengütern: Grundlagen, Verfahren, Geräte, (1979)

[7]

Rose H.E., Breakdown of the Lambert‐Beer Law, Nature, 169, pp. 287-288, (1952)

[8]

Leschonski K., Th. Boeck: Photometric On‐line Measurement of Surface Area of Powders, Part. Charact., 2, pp. 81-90, (1985)

[9]

Ishimaru A., Wave Propagation and Scattering in Random Media, (1978)

[10]

Ishimaru A., Kuga Y., Attenuation Constant of a Coherent Field in a Dense Distribution of Particles, J. Opt. Soc. Am., 72, pp. 1317-1320, (1982)

← 1 2 →