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Clamp-On Flowmeters for Fluids
Clamp-on transit time flowmeters for liquids have been around since the 1960s. Now the technology extends to gases.
Larry Lynnworth, Panametrics, Inc. This article was first planned as a sequel to “High-Temperature Flow Measurement with Wetted and Clamp-On Ultrasonic Sensors” [1], bringing ultrasonic flowmeter buffers up to date for liquids and gases. Buffers are used to extend the temperature range of ordinary ultrasonic flowmeters to very high or very low temperatures (see the sidebars, “What’s a Fiberacoustic Bundle Good For?” , and “Hockey Sticks for Clamp-On Measurement of Hot or Cold Liquids”). However, a breakthrough in ultrasonic clamp-on gas flowmetering occurred in the interim [2,3]. Because we believe this breakthrough to be of more interest to many readers than hearing about buffer developments and improvements, the present article focuses on clamp-on meters, generalized now to fluids, i.e., liquids and gases. We hope that even those readers who do not have an immediate application for clamp-on flow measurement of compressed air, steam, natural gas, hydrogen, or other gas will find that the following discussion will help clarify certain aspects of liquid clamp-on technology. We’ll begin with ultrasonic clamp-on flowmetering for liquids. We’ll then ask, and try to answer the question, Why not gases too? Our comments are restricted to transit time or contrapropagation flowmeters for industrial applications, i.e., measurement of flow in pipes. This article emphasizes clamp-on but it also includes some information on spoolpieces and wetted transducers.
Historical Notes The earliest paper we’ve been able to find on clamp-on ultrasonic flowmeters appeared in 1954 [7], but this was for a plastic pipe and the article, while claiming 2% linearity from 1–100 cm/s, did not include any flow calibration test data. In1957, a second “clamp-on” paper appeared [8] that suggested ways of modifying the wall of a metal pipe to encourage propagation along a desired oblique path. By 1964 [9], practical clamp-on ultrasonic flowmetering of water in large steel pipes was established in Japan, and by the 1970s the technology was available, both imported [10] and independently, in the U.S. [4-6, 11]. Today, liquid flow is measurable by clamp-on equipment for industrial conduits as small as 10 mm, and if the conduit is plastic, special techniques are available to interrogate the full cross-section axially [12] or by means of a vee bounce [13].
Acoustical Perspective
Today, if we try to measure air flowing in a steel pipe, the same sort of difficulties arise. Table 1 compares the acoustical properties of some liquids, gases, and solids (pipe materials) that govern the refraction and energy transmission coefficients.
Energy transmission between two media, for example, depends on their impedance ratio. This means it is >3000 times more difficult to transmit from a steel pipe into ordinary air than into water. As air pressure increases, or if the pipe were plastic instead of steel, the problem gets easier to solve. However, the refracted angle in air will still be small compared to that in water, so spacing in small pipes remains a problem. Figure 1 compares several aspects of liquid vs. gas clamp-on.
In addition to the weak signal, there is a relatively strong signal (crosstalk) traveling around the steel pipe. Considering just these two factors, we see that for ordinary air in a steel pipe, the clamp-on signal-to-noise ratio (SNR) will be very small. That is the short answer to two questions: “Why not air?” and “Why not gases too?” If we imagine slicing a steel pipe lengthwise to eliminate crosstalk between diagonally opposed transducers, there would still remain the problem of achieving adequate signal strength. With wetted transducers, signals can be increased by acoustic impedance matching, achieved by incorporating an impedance-matching material of quarter-wavelength thickness. With clamp-on, this isn’t possible. Three of the keys that underlie the clamp-on steam or gas examples below are:
In other words, to solve the clamp-on gas flowmeter problem, the entire transit time ultrasonic flowmeter system had to be revisited, modified where necessary, and optimized to deal with the gases of interest [2,3].
Industrial Applications—Liquids, Gases One potential application, still at the R&D stage, occurs at the sea bottom, where the OKS transducer’s solid weldable construction offers potential advantages of small size and ruggedness to withstand seabottom pressure without requiring an enclosure. Perhaps of more general interest is the OKS transducer’s potential role in liquid custody transfer. Here, the thinness of its clamped-on waveguiding blade offers opportunities for multipath (quadrature) spoolpiece construction while permitting transducer removability at almost any time, without valves and without dewatering/emptying the pipe. The temperature of the liquid can be ambient, cryogenic, or very hot (see Figure 2).
Gas applications of the type of clamp-on flowmeter reported here began in 1998 in collaboration with plant maintenance personnel at two universities. They assisted us by providing several steam pipes in which flow was to be measured by clamp-on; the smallest was 100 mm (4 in.) and the largest, 300 mm (12 in.). One early steam application where clamp-on worked relatively easily was on a good-quality 6 in. dia. steel pipe in which the steam was at ~232ºC and 205 psig. Wet steam or pipes of rough, corroded, or scaled condition can be more problematical. As we worked on lower pressure steam, we recognized that the method might be extendable down toward atmospheric pressure. This encouraged us to continue research on eliminating crosstalk, strengthening the signal, and dealing with other practical aspects of clamp-on gas flowmetering in the field. The system currently available (see Figure 3) is designed for a variety of clamp-on gas applications, including pressurized natural gas, hydrogen, or air, but not steam.
In some cal lab situations, clamp-on transit time measurements in liquids have achieved 0.5% agreement with a gravimetric reference. As required for industrial process control applications, this agreement is obtained with a response time of a few seconds or less. However, if the flow is unsteady and/or not developed (meaning the profile is changing as it travels down the pipe), then one sample of flow along a tilted diameter generally is not sufficient to yield 0.5% accuracy, and response time may need to be as short as 1 s or less. There are several solutions to the geometric part of the flow-sampling problem. One is to average two or four diameter-path interrogations, but this is not always sufficient. Another is to send the sound wave down the axis and examine 100% of the cross section. For ultrapure semiconductor liquids and some other liquids in small-diameter (<25 mm) plastic tubes, a guided mode solution [12] has recently become available (see Figure 4).
For the unsteady, transient, or oscillatory flow part of the sampling problem, the standard solutions have been to launch upstream and downstream interrogations as nearly simultaneously as practical. For liquids or gases in large-diameter pipes, e.g., >300 mm (but possibly smaller in the future—goal=100 mm), quadrature and other off-diameter sampling solutions have existed for some years. The Cerberus flow measurement system combines an industrial gas meter, a flow transmitter, a T11 transducer, and a precision-machined spoolpiece. Quadrature and other off-diameter interrogation systems generally are less sensitive to the influence of profile details [4]. The illustrated quadrature flowmeter system was developed jointly by Panametrics and RMG of Butzbach, Germany, to measure critical natural gas flows at custody transfer stations. The Cerberus system shown in Figure 4 was used in PTB (Physikalische Technische Bundesanstalt) tests, where it achieved preliminary approval for custody transfer of natural gas in Germany. The ability of the industrial gas meter flow transmitter to be calibrated in air at atmospheric pressure greatly accelerated the approval process.
Cryogenic Applications The customer (KOGAS) later purchased two DF868s with OKS transducers, based on satisfactory test results for a year. One of these was installed on 23 March 2001 as follows:
The second cryogenic customer for OKS transducers was NASDA, the Japanese Space Agency (see Figure 5). The smallest pipe in their applications was ~50 mm dia.
Summary
Acknowledgment The authors acknowledge Panametrics’s permission to reproduce passages, one table, and illustrations from its copyrighted report UR-252. Thanks too to KOGAS and NASDA. Hans J. Kastner, Andreas Weber, and others at RMG contributed to the equipment shown in Figure 4 C. Cindy Lynn Rountree’s 1995 gasoline data are the basis of the 87-93 octane approximations in Table 1. Edward T. (Ted) Borer, P.E., Princeton University, provided much assistance on steam beta sites. Arjan Stehouwer provided useful feedback from test sites in Holland. The manuscript was prepared by Lin L. Leeming. BWT (Bundle Waveguide Technology) and OKS (hockey stick transducer) are trademarks of Panametrics, Inc. For further technical information, see UR-252 in PCI R&D section of Panametrics' web site.
References 2. X. Ao. April 1, 1999. Clamp-On Steam/Gas Flow Meter, U.S. Patent Pending. 3. X. Ao et al. “Ultrasonic Clamp-On Flow Measurement of Natural Gas, Steam and Compressed Air,” abstract submitted for presentation at, and paper, if accepted, to be published in Proc 5th ISFFM (5th International Symposium, Fluid Flow Measurement), to be held in Arlington VA, 7-10 April 2002. 4. A.E. Brown. 1991. “Ultrasonic Flowmeters,” Flow Measurement—Practical Guides for Measurement Control, D.W. Spitzer, ed. ISA:415-442; with L. Lynnworth. 2001. Ibid., 2nd Ed.:515-573. 5. L.C. Lynnworth. 1979. “Ultrasonic Flowmeters,” Physical Acoustics—Principles and Methods, W.P Mason and R.N. Thurston, eds., 14, Academic Press:407-525. 6. L.C. Lynnworth. 1989. Ultrasonic Measurements for Process Control, Theory, Techniques, Applications, Academic Press. 7. H.P. Kalmus. 1954. Rev Sci Instrum 25:201-206. 8. V.A. Del Grosso and E.M. Spurlock. 1957. “The Feasibility of Using Wholly External Ultrasonics to Measure Fluid Flow Within Thickwalled Metal Pipes,” NRL 4967, AD No. 149409. 9. T. Baba. 1964. Jpn J Waterworks Assoc No. 4:21-31. 10. W.K. Genthe and M. Yamamoto. 1974. “A New Ultrasonic Flowmeter for Flows in Large Conduits and Open Channels,” Flow—Its Measurement and Control in Science and Industry, 1 (Part 2), R.B. Dowdell, ed., ISA:947-955. 11. L.C. Lynnworth and V. Mágori. 1999. “Industrial Process Control Sensors and Systems,” Ultrasonic Instruments and Devices: Reference for Modern Instrumentation, Techniques, and Technology, 23, E.P. Papadakis, ed., Physical Acoustics Series, Academic Press:275-470. 12. J.A. Hill and J.P. Pell. 23 May 2000. Flow Measurement System with Guided Signal Launched in Lowest Mode, U.S. Patent No. 6,065,350. 13. C.J. Drost. 14 Oct. 1980. Volume Flow Measurement System, U.S. Patent No. 4,227,407. 14. Y. Liu, L.C. Lynnworth, and M.A. Zimmerman. Feb. 1998. “Buffer Waveguides for Flow Measurement in Hot Fluids,” Ultrasonics, 36 (1-5):305-315.
15. R.N. Burnham et al. 23 May 2001. “Measurement of the Flow of Superheated Water, in Blowdown Pipes at MP2 Using an Ultrasonic Clamp-On Method,” on Panametrics Web site, PCI R&D pages.
Larry Lynnworth is a VP and PCI R&D General Manager, Panametrics, Inc., 221 Crescent St., Ste. 1, Waltham, MA 02453-3497; 781-899-2719, x-146/307, fax 781-894-5785, lynnworthl@panametrics.com. |
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