Jpn. J. Appl. Phys. 46 (2007) pp. 4521-4528 |Previous Article| |Next Article| |Table of Contents|
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Theoretical Investigation of Guide Wave Flowmeter
Harumichi Sato,
Maxim Lebedev1, and
Jun Akedo
National Institute of Advanced Industrial Science and Technology (AIST), 1-2-1 Namiki, Tsukuba, Ibaraki 305-8564, Japan
1Tokyo Keiso Co., Ltd., Shiba Toho Bldg., 1-7-24 Shibakoen, Minato-ku, Tokyo 105-8558, Japan
(Received November 24, 2006; revised February 16, 2007; accepted March 6, 2007; published online July 26, 2007)
Cylindrical pipes are widely used in industries such as nuclear power plants and micro total analysis systems (µTAS). Measuring the flow rate of fluid in such pipes is critical. Ultrasonic flowmeters are noncontact, nondestructive, and easy-to-use devices, and are therefore widely used. However, typical bulk-wave-based ultrasonic flowmeters cannot be used for pipes narrower than the wavelength of bulk waves. For such pipes, we are currently developing a “guide wave flowmeter” that uses guide waves instead of bulk waves. Previously, we theoretically and experimentally investigated a pipe filled with quiescent fluid for all modes [Jpn. J. Appl. Phys. 45 (2006) 4573]. In this study, we expanded our theoretical investigation to a cylindrical pipe containing flowing fluid, and then compared the results with experimental results. Both the theoretical and experimental results revealed that the flow rate can be determined by measuring the sound velocity (propagation time) of guide waves. This is the operating principle of our guide wave flowmeter.
URL:
http://jjap.jsap.jp/link?JJAP/46/4521/
DOI: 10.1143/JJAP.46.4521
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- An equivalent equation of σrθ of eq. (17) in ref. 12 is obtained by substituting g3'/r-n2g3/r2=-g3''-β2g3 [by eq. (A·6)] into eq. (A·17), but it is not equivalent to this result. σrθ of eq. (17) in ref. 12 should be changed as follows: σrθ=µ{-2n( f'-f/r)/r-(2g3''+β2g3)-ξ[(n+1)g1/r-g1']}sin
nθcos
(ωt+ξz).
- An equivalent equation of σrz of eq. (17) in ref. 12 is obtained by substituting -g1''=g1'/r+[β2-(n+1)2/r2]g1 [by eqs. (A·6) and (A·10)] into eq. (A·18), but it is not equivalent to this result. σrz of eq. (17) in ref. 12 should be changed as follows: σrz=µ{-2ξf'-[ng1'/r+(n(n+1)/r2-β2+ξ2)g1]-nξg3/r}cos
nθsin
(ωt+ξz).