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Advances in the accuracy of thermal diffusion mass flow meters

2026-04-06 07:36:55 · · #1
Advances in Thermal Sensing Technology Since the advent of thermocouples and early hot-wire anemometers, thermal flow measurement technology has made significant progress. Based on heat conduction, thermal technology typically generates a signal directly proportional to the temperature difference and mass flow rate based on the temperature difference between two temperature sensors. For a long time, thermal flow sensors have been used in many industries to meet specific requirements. Modern thermal flow sensors have evolved from laboratory equipment to robust process devices, with each generation representing a breakthrough in sensor performance. Early thermal product designers faced numerous challenges in maintaining production tolerances, temperature tracking, and compliance with industrial packaging standards. These challenges led designers to adopt more robust and consistent resistance temperature detectors (RTDs). RTD-based flow sensors were quickly categorized and associated with earlier differential temperature devices, becoming part of the thermal flow sensor family. With improvements in RTDs, manufacturers tended to adopt platinum-wound, low-mass designs. Over time, manufacturing technologies evolved towards smaller tolerances, making the pairing of two RTDs an increasingly stringent process. Since most modern thermal designs are based on the difference between two RTDs, the RTDs must be constructed identically. Early on, FCI and other manufacturers recognized this, and FCI designed the first equal-mass sensor construction. This sensor design ensured that the sensing element remained consistent while tracking process changes. Equal-mass design was a breakthrough, greatly expanding the application of thermal sensing principles into a variety of process applications. With advancements in manufacturing technology, filling methods, thermal aging, and material optimization, product performance has gradually improved. Today, FCI and other companies using the latest RTD production technologies have truly eliminated production tolerances between RTDs by using lithographic etching of chip RTDs, making RTD adjustment a simple and reproducible process. Therefore, high-quality, easily matched RTDs can be produced at extremely low cost. This advancement has directly propelled thermal technology towards higher performance and lower cost. Microprocessors Drive Performance Improvements As thermal sensing technology continues to advance in terms of consistency and stability, breakthroughs have also occurred in signal processing and hardware. FCI has made progress in calibration data collection and signal processing, and has gradually improved product performance through advanced curve fitting algorithms. The figure below shows FCI's breakthrough curve fitting method, which improves product performance and accuracy. The limitations of traditional products can be seen from the common error bandwidth in Figure 1. FCI's thermal mass flow meters using the D2P curve fitting method stand in stark contrast to traditional products. In recent years, significant progress has been made in reducing errors and uncertainties, enabling FCI products to achieve a calibration accuracy of 0.5% while maintaining a 100:1 range ratio. [align=center] Figure 1: Performance improvement brought by FCI's D2P curve fitting method[/align] Calibration methods and NIST traceable equipment fill a gap Developments in sensing and signal processing have placed higher demands on calibration procedures and methods. To make thermal flow meters truly high-end products and meet the needs of users' field conditions, manufacturers must combine product improvements with qualified, high-precision calibration. This means either sending the product to a professional flow calibration laboratory for calibration, or investing heavily in building their own calibration equipment. FCI possesses its own calibration laboratory, built with investment, capable of both R&D and product calibration. It can calibrate a wide range of media, including inert gases, hazardous gases, and liquids. Because the cooling rate is a function of the media's thermophysical properties (such as viscosity, density, specific heat, thermal conductivity, and coefficient of thermal expansion), optimizing thermal sensing technology requires extensive experience in fluid dynamics. While new models and equation derivation methods have enabled calibration using reference gases to achieve 2-3% reading accuracy, optimal performance requires calibration with actual gases or liquids. Companies like FCI with well-equipped calibration laboratories can calibrate with actual liquid media (such as water or juice, hydrocarbons, and coolants) and various gaseous media (from inert gases to hazardous mixtures and low-density gases like hydrogen and helium). Calibration consistent with actual media, automatic data collection, and high-precision flow reference standards (such as sonic nozzles, ultrasonic Doppler, and Coriolis flow meters) result in an accuracy better than 0.5% of the reading. Figure 2 shows the FCI gas sonic nozzle and mixed gas calibration stand. [align=center] Figure 2. Mixed gas and sonic nozzle calibration stand in the FCI calibration laboratory[/align] Applying laboratory results to the field Applying laboratory calibration results to the installation location in the field is a challenge for all flow measurement principles. Straight pipe sections, actual installation, flow layers, transition flow shapes, turbulence intensity, vortices, pulsations, and wide flow ranges are common challenges for all flow measurement principles. Thermal flow measurement is an economical and accurate option for pipes from 1/8” to 30”. Using thermal flow measurement and selecting the correct model is crucial for achieving the highest field installation accuracy. For applications with pipe diameters of 2” and below, most thermal flow measurement manufacturers offer an “inline” configuration, providing a section of pipe with the sensor head fixed in place. This configuration avoids errors caused by fixing, offset, rotation, or insertion length. Meanwhile, many “insertion” flow measurement products also minimize or significantly reduce the impact of installation variables through improved installation methods. Position locking or keypad-coded insertion, multiple sensors, depth gauges, and orientation markings ensure the installation of insertion flow measurement elements suitable for pipe diameters from 4” to several meters. Fluid conditioning expands the range of installation location options . Fluid conditioning is used by many flow measurement principles to further refine measurements. Conditioners provide excellent isolation, vortex reduction, and truly zero pressure loss. This fluid conditioning method dramatically expands the application range of point flow measurement principles. For example, the recommended installation condition for thermal flow meters is a straight pipe section 20 times the pipe diameter upstream and 10 times the pipe diameter downstream. However, with an embedded fluid regulator, a thermal mass flow meter only requires a straight pipe section of 7 times the pipe diameter upstream and downstream to achieve nominal accuracy. Influence of Process Conditions and Multi-Point Measurement The thermal flow measurement principle actually utilizes temperature sensing. Most thermal flow meter manufacturers include a reference sensor in their flow elements, which is combined with temperature difference measurement or independently measures real-time changes in process temperature. Since thermal devices directly measure mass flow, and changes in process temperature directly affect mass flow, thermal devices are designed to automatically correct for the effects of process temperature changes. The design of the mass flow sensor ensures no hysteresis effect, thus providing real-time temperature compensation. For this reason, most thermal flow meters are inherently multivariable and can provide process temperature output. Furthermore, thermal devices are almost unaffected by pressure changes, unless measuring extremely low flow rates (below 0.25 ft/s), because natural convection can produce a flow effect due to increased heat in the insertion sensor configuration. Utilizing low-power boundary layer sensing, companies including FCI have developed non-insertion designs, taking low-flow and high-velocity sensing to a new level. In extremely low-flow applications, most manufacturers' product specifications or software choices limit the use of insertion-type designs. Independent studies excluding pressure effects show that, within normal engineering flow ranges, uncalibrated thermal mass flow meters can experience a 1–2% reading drift per 100 PSI of pressure fluctuation. Thermal sensing principles, whether thermoduplicate or constant-power, are equally affected. Figure 3 shows the performance curves of FCI flow meters over a typical pressure fluctuation range, with the impact of pressure on accuracy controlled to within 1%. [align=center] Figure 3. Typical performance curves showing the impact of pressure fluctuations on accuracy <1%[/align] Thermal product manufacturers have observed that large process pressure fluctuations can have a greater impact on measurement accuracy due to variations in gas characteristics. For these specific applications, FCI has introduced a patented product—a thermal mass flow sensor with built-in pressure sensing and calibration. In most common process control applications using thermal diffusion principles, this specially constructed product is unnecessary. However, in closed transmission applications such as natural gas transmission, where significant pressure fluctuations occur, this special construction is required to ensure that thermal flow meters meet the accuracy requirements of the application. In summary, the combination of groundbreaking sensor design, advanced signal processing, high-precision calibration, and the use of fluid conditioning techniques to mitigate the impact of unfavorable installation conditions places thermal flow meters at the forefront of measurement principles, offering high cost-effectiveness and long service life. Currently, a variety of thermal products with different performance levels and prices are available on the market. Today, advanced and reliable thermal products are perfectly suited for even the most demanding process applications, meeting users' requirements for accuracy and repeatability.
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