It consists of a looppowered dual tube system,- capable of withstanding pressures of up to 1450 psi. This book is a graduate-level introduction to the theory of electro-magnetic flow-measurement. The calibrating flowmeters are situated both downstream and upstream relative to the flowmeter which is being calibrated and the control system assures delivery of flow of matter to the measurement and reference flowmeters. Sept. 7, 2021. It also includes a special calibration procedure using an automated gravimetric flow rig. The last three digits are a temperature Impulse Line - Purpose & Tapping Point Location An impulse line is a small bore pipe that is used to connect a tapping point in a pipeline to the measuring instrument. h�b``�c``�e`a`He�g@ ~�+s,``�ܳ**�Ӛ�q*���-���!4 D���%���K�00Nd�.c�����������������cΣ��,1̗�8�Z9N1&sE�hc� The flow meter is often used as a transfer standard to compare 00G / FL / nb / October 2009 MNKS013 0.1 (10/09) Coriolis mass flow meters are widely used throughout the process measurement and control field. which the flu id flows. Calibration (not required in the field) Standard calibration procedures for single phase flow meters Pneumatic air valve controls Typical instrument air @ 1.4 to 7 barg (20-100psi) Title: Microsoft PowerPoint - 20170200 Literature CCM.pptx Author: or your own procedures). . However, the guidelines of master meter method have not been established completely. Solar Energy Storage aims to become the authoritative work on the topic, incorporating contributions from an internationally recognized group of top authors from both industry and academia, focused on providing information from underlying ... . Calibration Adjustment Methods for Gas Meters Coriolis Meter Calibration Options . These true positive results show that verification can confirm that a Coriolis flow meter is good, but it is important to also understand a verification technology's detectability. Found insideWhen the four of us decided to collaborate to write this book on pneumatic conveying, there were two aspects which were of some concern. The mass flow rate is the mass of the fluid traveling past a fixed point per unit time.. • The performance of the meter evaluated within the CCS transport conditions. Coriolis flow meters operate on the principle of the Coriolis Effect. Found insideThis book covers a wide range of aspects and issues related to advances in bioengineering research with a particular focus on innovative technologies and applications. Basic Procedure at the third-party lab 1. Their basic operating principle, combined with modern sensors. It is because the . Coriolis Mass Flow Meter. An emphasis on the role of statistics and uncertainty analysis in the measuring process makes this text unique. This relationship is the flow calibration factor. The customer may use the flow meter and its calibration results in different ways. Now, this revolutionary book has been completely updated and expanded for the 21st century. 1 Low Flow Calibration - 0.2% Uncertainty between 2 and 40 kg/min, 0.6% between 1.5 and 2 kg/min Flow Measurement Repeatability Standard ± 0.1% of rate Goldline ± 0.05% of rate Temperature Better than ± 1°C h��X]S�����1�-����G�V���!p���� 챭�-9�Lp~�==������C The calibration process requires a strictly controlled procedure and an environment where a device can be put through a series of reproducible tests. Pipeline Rules of Thumb Handbook assembles hundreds of shortcuts for pipeline construction, design, and engineering. Workable "how-to" methods, handy formulas, correlations, and curves all come together in this one convenient volume. numerical simulation. Features • Standard pressure ratings up to 882 bar (12792 psi) • Temperature ratings from -196 to 350°C (-320 to 662°F) • Mass flow uncertainty down to 0.12% • Density uncertainty down to 0.5% • Repeatability better than 0.05% • Nominal measuring range between 2 and 200 kg/min The Coriolis flow sensor can be constructed of one or two intrinsically balanced metal tube(s) fixed at each end. Validation occurs when compar-ing the performance of the meter in question to a reference meter. Every Coriolis meter design and size has a different flow pressure effect specification. types of radar level transmitter. The overall approach of this book makes it an ideal text for all introductory level undergraduate courses in control engineering and instrumentation. Smart Meter Verification (SMV) is available on all Micro Motion 4‐wire MVDTM transmitters paired with an "enhanced" core processor, on all integral mount 2400S, 4200, and 5700 Series transmitters, and on enhanced Instrumentation & Measurement Product Focus: Flowmeters, level measurement and liquid analysis sensors . . The book covers a wide range of technologies and techniques, fully explaining important related terminology. You learn how to use microprocessors for both analog and digital process control, as well as signal conditioning. Coriolis flow measurement: Simultaneous measurement of mass flow, density, temperature and viscosity. Found insideThis book helps users of the ISO standards for orifice plates and Venturi tubes to understand the reasons why the standards are as they are, to apply them effectively, and to understand the consequences of deviations from the standards. Turbine Type Flow Meter. Theory of Operation —Mass Flow The Flow Calibration Factor consists of 10 characters, including two decimal points. Oil & Gas Flow - precise and efficient Calibration • Calibration, the last step in production • All new flow meters are being calibrated (exception, clamp on Ultrasonic) • Elimination of deviations between individual units • Balancing measuring result and specification • Electronical correction at two points: Zero - Max. Should a measurement flow enter the measuring tube, Coriolis forces are the result. Please check with factory. Companies in oil, gas, water, and other necessary materials for the developed world use flow meters to ensure that the materials get to their destination safely and efficiently. performance-using-coriolis-meter-dynamic-flow-measurement-to-eliminating-static-volume-errors-micro-motion-en-66788.pdf The use of Coriolis technology has become mandatory in the port of Singapore and is gaining popularity in other major ports around the world. h�b```"SV>OA��1�0p2�5,�xm���q���-���_��-_u"� i>��`b�iܐ=�خ��9;�8 L8"�XG��S�r#ߑVGa.�Ig-ވ,�4�d���h$y�M6�P1�.����!$O4X����3D^��_)=6�`��1�>Ǵ�*n��KS��j�鲔� ��u�I]�9e傺*� V�I>��-^�m�Y��yC0��T�� ���w AS�qS* ^#X�AB1�w�AC��20�U@�;���Lcw(��� ��j�:�d�� Found insideThis handbook is dedicated to the next generation of automation engineers working in the fields of measurement, control, and safety, describing the sensors and detectors used in the measurement of process variables. Download. 2. Liquid turbine flow meter calibration procedure. Image 3. flow meter calibrations As one of the largest commercial calibration laboratories in North America, we provide a comprehensive range of calibration services. No. Figure 2. Compared to traditional flow measurement methods, FMC Coriolis Meters have the following obvious advantages: 1.3.1 Ability to directly measure the mass flow rate in the measuring tubes without any conversions, which avoids intermediate measurement errors. ISO 10790:2015 gives guidelines for the selection, installation, calibration, performance, and operation of Coriolis flowmeters for the measurement of mass flow and density. Liquid flow meter Coriolis . Typical units for the FCF is (gm/sec)/ sec. ROTAMASS is the integral and remote type Coriolis Mass Flow Meter. • The average uncertainty of Coriolis meter in liquid CO 2 was calculated to be 0.11%. Standard 1 inch Coriolis Mass Flow Meter Features • Standard pressure ratings up to 790 bar . Maintenance efforts of the master meter method are easier than the gravimetric method. In order to correct for the flow pressure effect in a Coriolis meter's indicated mass flow rate, the following equation . h�bbd``b`��@�q?�`Y"�@/���5��▂X�@��@�� � n�`5 � $nlf`bd*q�D���� � ��= Our calibration capabilities include a wide range of flow rates, temperatures, and pressures utilizing numerous test gasses. meters!or!pressure!drop!based!devices!depending!on!the!heat!transfer!medium.! Using water as calibration fluid has many advantages. Textbook designed for an advanced undergraduate course in industrial applications of microwaves. This text presents the subject of instrumentation and its use within measurement systems as an integrated and coherent subject. This edition has been thoroughly revised and expanded with new material and five new chapters. This book presents a rational procedure for flowmeter selection that is based on factual information and will help the professional evaluate the appropriate criteria to arrive at proper flowmeter selection. 2498.95 kg F F P T P T P T P T RH T. We calibrate a customer's flow meter and deliver a calibration report that documents the calibration procedure, the calibration results, and their uncertainty on a fee-for-service basis. %%EOF The flow meter is characterized by simple structure, high precision and easy installation and repair. The master meter method has simpler flow configuration than the gravimetric flow measurement method requires. values along with the integrated flow signal can be used to calculate the calibration factor (K) for the fiowmeter as shown in figure-2 . ��9+�%`�c-��:����-�F�� The actual fluid pressure can be varied between 1 to 12 bar and at a standard temperature of approximately 22 °C. h�bbd``b`� $�A��@�}�9$�;�7+H�:�{ H��7@\Sa��0\� �Abk@�ȀH � $@�R %�A�A��d`bd )f``����k� Ԝr ="N��1@��&�$�Y�w;�����xr�@�ڹS_��� ��m�W��U�5������m�ok���5���+�2;�喧���@r��z�S�zo��z,-�ڞ?gA�y�7����8�W.-�V�( ELITE High-Precision Mass Flow and Density Meters The world's most accurate Coriolis flow meter is now even better. The Coriolis flow meter has many features such as direct measurement of mass flow and measurement of fluid density, which other flow meters do not support. coriolis mass flow meter: calibration of coriolis mass flow meter,any questions pls contact Michael and email is sales15@gninstruments.com rotational plane. �da ��;�"�R;Dr}��H� � fgՀe��$c�H�i@��I^&F�+`��4'�30�~` �t B endstream endobj startxref 0 %%EOF 362 0 obj <>stream Tom O'Banion. It is also more cost-efficient compared to conventional flow meters. When calibrating a Coriolis flowmeter, there are two different preferred methods that can be used to reach optimal calibration. Our calibration rigs are the most accurate used in measuring device production worldwide: the accuracy of the reference is usually 5 to10 times better than that of the meter under test. The Super Bend coriolis mass flow meter is used in a wide range of applications to accurately measure the flow media. API Standards are available to set out the recommended procedures for verification of Coriolis flowmeters. Both types have highly refined digital signal processing electronics, so that accurate and stable mass flow measurement is achieved. 1.31 4 / 28 1 General Information Thank you for choosing a Rheonik Coriolis Flow Meter. radar level transmitter principle PDF. manual flow calibration procedure, saving both paint and time. 8.2.1.10 - Ver. Found inside â Page iThese are examined in this new edition with greater detail. This book is about devices commonly called sensors. The invention of a - croprocessor has brought highly sophisticated instruments into our everyday lives. The exact specification differs by manufacturer and model type. Features • Standard pressure rat ings up to 433 bar (6280 psi) • Temperature ratings from -196 to 350°C (-320 to 662°F) • Mass low uncertainty down to 0.15%f • Density ertainty down to unc 0.0025 kg/liter • Repeatability better than 0.05% • Typical easuring ranges between m . This book includes comprehensive information on several topics with regards to overview of the carriage of liquefied gases of the sea, properties of liquefied gases (including the chemistry and physics of liquefied gases), liquefied gas ... • It is the first transmitter with an open architecture platform and to employ Digital Signal Processing dI3����9�{d� • Liquid accuracy: ± 0,05% of flow rate Vol 1 April 1990 1 71 Calibration of Coriolis mass flowmeters using a dynamic weighing method J. S. PAIK, K. W. LIM and K. B. LEE The suitability of various gravimetric calibration methods was investigated for Coriolis mass flowmeters, the operating principle of which is completely different from conventional flowmeters. Meter Sizing When sizing a Coriolis meter for proving applications, ensure the following: 1) The flow range over which the meter will operate and be proved, does not exceed a flowing velocity of 60 ft/sec through the meter. A mass flow meter, also known as an inertial flow meter, is a device that measures mass flow rate of a fluid traveling through a tube. Extensive test results together with an application note are also described in this paper. Master meter method is an efficient way to calibrate flow meters with less time and costs. h��Wmo�8�+��jE��ؑV�hY�����+E�����JR]��7c �JY�t����=/~�he%ZE� FtH ��fDr5'!��Ds �$��S�)������&�2�K�C�J�dM �t4#�*�p"�-��L�ϟ�/��M�d���M̜O��_^�rрp2a�yR�p�oK�o����ΦoGΚ_�*��m��n0&��I//���w�GV�c����cB/(&�����K?����]4�Dap=���3\g˯6zn ֫�8���Ȟj"]|WW�k�c�ҞК���. The Coriolis measuring principle is used in a wide range of different branches of industry, such as the life sciences, chemicals, petrochemicals, oil and gas, food, and - no less importantly - in custody transfer applications. %PDF-1.4 %���� Is this possible for Pipe Prover . general electric ultrasonic liquid flow meters price. Flowmeter Calibration, Proving, & Verification Sept. 26, 2010 . Sensor fundamentals -- Application considerations -- Measurement issues and criteria -- Sensor signal conditioning -- Acceleration, shock and vibration sensors -- Biosensors -- Chemical sensors -- Capacitive and inductive displacement ... Knowledge of the material in this Fourth Edition is a must for those involved in executing or managing experimental programs or validating models and simulations. Found insideIn this book, advanced methods and techniques of monitoring, fault diagnostics, and predictive maintenance for cryogenics are illustrated. This book keeps engineers and managers involved in ESPs knowledgeable and up-to-date on this advantageous equipment utilized for the oil and gas industry. 1.1 Introduction to the NexGen® RSM Coriolis Flow Transmitter RSM and its employees would like to express our thanks for purchasing the NexGen RSM Flow Transmitter SFT100™. h�b```f``rg�``�`b@ !V ��}�` ��a�*M��2`��b��e����(t|�]��ʅK�'�t2�;������\�g=��-�{ھ�ɴ`������C������ �P��� ��� �4�dt�Dt05��lQ��. %%EOF The CODA-series of mass flow meters and controllers utilizes the Coriolis operating principle and uses the single tube setup described above. Flow Calibration Procedure Fmc Technologies fmc smith pd meter manual wordpress com, euramet tc f report 2013 apmpweb org, application of coriolis calibration flow measurement, nel amp fmc intercomparison revc euramet, sadc fmc technologies measurement solutions, qualification of fiscal liquid ultrasonic meter for, solares fmc bidirectional prover −Coriolis flow meters −INRIM's density sensor (simultaneous density and SoS measurements) Suggest improvements to measurement accuracy Develop an improved SI-traceable calibration procedure for LNG density _____ This short presentation focuses on ambient (water) density measurements carried out at NEL using Coriolis meters. Figure 2. endstream endobj startxref Meter Selection Given the wide turn down (100:1) of a typical Coriolis meter, several meter sizes may be acceptable for a given flowrate. • FlushableTCE 8000 transmitters with an easy-to-use interface • Economically-priced, non-calibrated but with excellent repeatability • Optional custom-calibrated meters with high performance specifications calibration pressure, measurement engineers should investigate pressure effect and insure appropriate compensation is implemented. The factory calibration factor (k factor) for the flow meter is stated in the Technical Specifications section on page 13. Individual calibration of your flow meter We can calibrate your flow meter (for liquids) with different fluids. Fine Tuning Coriolis Flow Meter Calibrations Utilizing Piece-Wise Linearization Tonya Wyatt . The second method of flow meter calibration involves weighing the amount of fluid that flows through the meter during the calibration procedure. Collect as-found data (pressure compensation active) Therefore, since being introduced for practical use in the late 1970s, its market has rapidly expanded in many industries such as oil, chemicals, and foods. Coriolis Flow Meter ROTAMASS employs a flame-proof type converter case suitable for use in the hazardous area together with its intrinsically safety type detector. cubic meters per second) passing through the device; it measures the mass per unit time (e.g. Fig-1. Coriolis flow instrument internal diagram. The system can now also track paint usage by paint type and color for VOC compliance. Flow Meas. h�bbd```b``~"��d Coriolis flow measurement: Simultaneous measurement of mass flow, density, temperature and viscosity. As there are currently no books on the subject of Multiphase Flow Metering for the Oil & Gas industry, this book will fill in the gap and provide a theoretical and practical reference for professionals, academics, and students. * Written by ... Flow Measurement Handbook is a reference for engineers on flow measurement techniques and instruments. And when we're talking about calibration, we're talking about defining this factor generally in a factory setting that's accredited and traceable. Flow Measurement Guidelines May 2017 Process Industry Practices Page 6 of 26 3.1.7 Quality flow measurement is dependent on: a. meter. One last innovation was the integration of SignalFire's Modbus to Ethernet converter module so that the five flow meters associated with each robot could be interfaced to a high-speed wireless 2. Coriolis technology provides measurement of mass flow rate, volume flow rate . @� K�m���({���ctHG�������0]���p` ����*� e�g`���n ���_sB��v ZeC+ 3. $D8da6�C�Q�k.�a��UP�D!�|~;��6q�l�6�OC�Y�ُ�|��wq�+7ʭ�Jb���=6L���9�^��l��H�;�H"҈^�{�H�����|���^���8��$����)����5����q(�g&)���8�y݈ŭ+�� D���qu6$�ʾ@ʸr�%��|��{Y��ˆ�)(A��(x_MIh�O������G����fYV+�3�_�JC����9��%���EmkK�oj���J����%rXXZ�;d��G}3��6L&����i�NN6�n��T ���YW���-��汤�=����z6jpU'D�7Nќ�jܹ4��*��:��ɷ� a^ �v��? coriolis‐flow‐meter‐calibration‐2015‐0164‐micro‐motion‐en‐66688.pdf 1. Flow Calibration Procedure Measurement Solutions PDF April 17th, 2019 - MPU Flow Calibration Procedure 5 FLOW TEST 5 1 Flow Test Description Project specific details for this flow test are given in Section 0 The flow meter shall be flow calibrated at an accredited gas flow calibration facility See list of various facilities in Appendix 1 2 / 8 0.2% grade coriolis mass flow meter. Most sealant and adhesive materials are compressible and, since the flow meter is measuring the material The revised edition features the latest ISO, ASME, and ANSI-related standards, meter influence quantities for flowmeters, and proposed orifice and nozzle equations. This guide provides a review of basic laws and principles, an overview of physical characteristics and behavior of gases and liquids, and a look at the dynamics of flow. Everything you can learn about the practical automation at one place. Different applications of Coriolis master meter •! Micro Motion ELITE sensors improvements now offer Coriolis flow measurement capabilities never before thought possible, with technology to handle even wider ranging process challenges. we calibrate our Coriolis mass flowmeters with a gravimetric weighing system). MEK4450 . •In differential pressure flowmeter, the flow rate is inferred from the measured differential pressure. RHM Coriolis Sensor Installation Guide, RHM015 - RHM20 - Doc. A rig was designed and built to conduct gravimetric calibration of flow meters. TRICOR - Coriolis Mass Flow Meters Coriolis Mass Flow Meters - TRICOR TCM 0325 TCM 0650 TCM 1550 TCM 3100 TCM 5500 TCM 7900 TCM 028K TCM 065K TCM 230K Nom. Due to . The user selects a meter to match the optimum performance in the application. Coriolis flow meters - calibration approach for cryogenic applications October 1, 2013 3 2 Calibration approach for cryogenic applications Coriolis flow meters have been used commercially since the late 1970s, although designs based on the Coriolis principle have been reported since the early 1950s [3]. All four liquid calibrators are based on the volumetric measurement procedure with density measurement for mass conversion. NIST calibrates liquid flow meters to provide traceability for flow meter manufacturers, secondary flow calibration laboratories, and flow meter users. A rate meter can either infer the flow rate ormeasure the velocity of the flowing fluid todetermine the flow rate. 0.02% between average MF start and MF stop, etc! 0 Type of meter selected b. Manufacturer's tolerances c. Proper installation d. Calibration procedures e. Operation and maintenance procedures f. Accounting methods whereas!smaller!units!may!use!coriolis!mass!meters.!Tower!related!applications!often!use!vortex! IN SITU TESTING AND ANALYSIS OF RESULTS IN SITU TESTING AND ANALYSIS OF RESULTS Found inside â Page iThis book addresses two major fluid mechanical problems in flow metering: the analysis of signal generation in turbulent pipe flow, which explains the function of the meter beyond a simple calibration, and the possible use of a meter in non ... endstream endobj 30 0 obj <>>> endobj 31 0 obj <>/ExtGState<>/Font<>/ProcSet[/PDF/Text]/Properties<>>>>>/Rotate 0/TrimBox[0.0 0.0 612.0 792.0]/Type/Page>> endobj 32 0 obj <>stream To eliminate this type of drawback, we wish to propose a method of calibration based on a plant of N mass flowmeters based on the Coriolis effect. The additional factors that may affect the performances criteria can be: the influence of stability of zero meters, gas trapped in the media, external vibration, erosive media properties, coats of paint or dirt inside the measuring tube and the like. %PDF-1.5 %���� The product may be used in a wide range of industries, including oil industry, chemical industry, metallurgy, water supply, paper-making, environment protection and food industry. This method is often regarded as the most accurate way to measure the volume of flow. The first article in this two-part series on Coriolis flow me-ter calibration and verification discusses Coriolis flow meter basics, theory of operation, verification and calibration para-digms. Instrum. ?&������"xB�|a�_ Calibration of Prover Tanks using a Coriolis Mass Flow Meter as the Master Meter. American Literature Composition Released Test Booklet Pdf. numerical simulation. May 1st, 2016. 2) The optimum flow signal stability for proving is obtained with flow velocities of 3 to 60 ft/sec. Flow Rate (lb/min) 1) 3) 3 7 12 27 34 53 188 575 1,797 Nom. Master meter method is an efficient way to calibrate flow meters with less time and costs. Part II: Verifying Coriolis flow meter calibration. Coriolis 101 The first five digits are the flow calibration factor. It is because the . Figure 1. 78 0 obj <>stream Maintenance efforts of the master meter method are easier than the gravimetric method. In this article, we are going to discuss the calibration procedure of the prover tank and mass flow meter (Coriolis) verification steps. Install and zero meter as necessary 2. 2.1 Coriolis Flow Meter Theory Coriolis flow meters provide a direct measurement of mass flowrate and product density with stated uncertainties as low as 0.05 % 3for mass and 0.2 kg/m for density respectively for light hydrocarbons [1] [2] [3]. Chapter exercises and answers are also included to reinforce the material presented, making this book an excellent learning/teaching resource. If the flow meter is operated in faulty conditions, its safety and function may be impaired. Each and every meter is designed to give many years of service in one of a wide variety of applications across many industries. Brief Description of the Straight-Tube Coriolis Technology A Coriolis flowmeter is an electromechanical system This authoritative reference work, part of Momentum Press's new Sensors Technology series, edited by noted sensors expert, Dr. Joe Watson, will offer a complete review of all sensors and their associated instrumentation systems now commonly ... 325 0 obj <> endobj 343 0 obj <>/Filter/FlateDecode/ID[<434A5B1C055242DEBAC2A9ED0AD7F280>]/Index[325 38]/Info 324 0 R/Length 94/Prev 1242869/Root 326 0 R/Size 363/Type/XRef/W[1 3 1]>>stream Vortex and Coriolis flow meters in gas applications . Extensive test results together with an application note are also described in this paper. Performed using acceptable calibration methods (eg 40 CFR Part 60, They are The TRICOR CLASSIC Mass Flow Meter, based on the Coriolis principle, have many advantages compared to other Flow Meter principles. �`����o�n�넓q˻lHǒ!L��>о�{u������Ofk�>"�\8��*�~�e���_���{^���. Flow Meter Calibration Common calibration procedures: In-Situ calibration An on-site calibration based on actual field conditions. Flow Meters: Methods of Calibration by Garber Metrology October 13, 2015. Coriolis forces appear in oscillating systems when a mass moves towards or away from a rotational axis. Coriolis Mass Flow Meters (TCM) operate with two parallel tubes with coils that cause them to oscillate at their resonance frequency. Numerous practical details provide the user with valuable For mass proving, the prover volume is converted to prover mass by the measurement or calculation of density at the prover in order to compare the meter mass to the prover mass, or by the use of a Coriolis master meter, to establish a meter factor. Either simple K-factor corrections or adjustments to flow meter coefficients (dependent upon the ability to run multiple flow rates). PDF | On Jan 1, 2014, jesus fernandez and others published Mass flow measurement and calibration procedures | Find, read and cite all the research you need on ResearchGate These forces act on the o No damage to, or material buildup within the flow meter assumed o Factory calibration at one of Endress+Hauser's ISO 17025 NIST traceable facilities or NIST traceable recalibration, including onsite, within the period . flow measurement. However, the guidelines of master meter method have not been established completely. ^``63W���u��� �(¼�+��&�M-��b������ The additional factors that may affect the performances criteria can be: the influence of stability of zero meters, gas trapped in the media, external vibration, erosive media properties, coats of paint or dirt inside the measuring tube and the like. Coriolis meter with flow. -!Calibration of flow meters (U between 0.02 and 0.1%) -!Calibration of other Proving Tanks (U <0.02%) . Coriolis Mass Flow Meter. We calibrate a customer's flow meter and deliver a calibration report that documents the calibration procedure, the calibration results, and their uncertainty on a fee-for-service basis. Promass (Coriolis), Prosonic (Ultrasonic) , Prowirl (Vortex), . 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