Ms. Greenwood et al., ATTENUATION MEASUREMENTS OF ULTRASOUND IN A KAOLIN WATER SLURRY - A LINEAR-DEPENDENCE UPON FREQUENCY, The Journal of the Acoustical Society of America, 94(2), 1993, pp. 908-916
The attenuation of ultrasound through a kaolin-water slurry was measur
ed for frequencies ranging from 0.5 to 3.0 MHz. The maximum concentrat
ion of the slurry was for a weight percentage of 44% (or a volume frac
tion of 0.24). The goal of these measurements was to assess the feasib
ility of using ultrasonic attenuation to determine the concentration o
f a slurry of known composition. The measurements were obtained by con
secutively adding kaolin to the slurry and measuring the attenuation a
t each concentration. After reaching a maximum concentration a dilutio
n technique was used, in which an amount of slurry was removed and wat
er was added, to obtain the attenuation as a function of the concentra
tion. The dilution technique was the more effective method to obtain c
alibration data. These measurements were carried out using two transdu
cers, having a center frequency of 2.25 MHz, separated by 0. 101 6 m (
4.0 in.). The maximum attenuation measured in these experiments was ab
out 100 Np/m, but the experimental apparatus has the capability of mea
suring a larger attenuation if the distance between the two transducer
s is decreased. For a given frequency, the data show that In V/V0 depe
nds linearly upon the volume fraction ( V is the received voltage for
the slurry and V0 is that obtained for water). This indicated that eac
h particle acts independently in attenuating ultrasound. The data show
ed that the attenuation is proportional to the frequency and to the vo
lume fraction. The results demonstrated the feasibility of using atten
uation measurements to determine slurry concentration. Several theoret
ical models are discussed that describe the attenuation of ultrasound.
The data obtained by several other researchers also show a linear dep
endence of attenuation upon frequency.