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Designs, materials, weights and performance ratings are approximate and subject to change without notice. Visit 

armstrong

international.com for up-to-date information.

79

Serial Communications – continued

Modbus Communications

Applicable Flow Meter Models

Armstrong Vortex Flow Meters, Models AVF and AVI with Modbus communication protocol and firmware version 
4.00.58 and above.

Overview

This document describes the preliminary implementation of the Modbus communication protocol for use in 
monitoring common process variables in the Armstrong Vortex Flow Meter. The physical layer utilizes the half-duplex 
RS-485 port, and the Modbus protocol.

Reference Documents

The following documents are available online from www.modbus.org.

   Modbus Application Protocol Specification V1.1

   Modbus Over Serial Line Specification & Implementation Guide V1.0

   Modicon Modbus Protocol Reference Guide PI–MBUS–300 Rev. J

Wiring

An RS485 daisy chained network configuration as depicted below is recommended. Do not use a star, ring, or cluster 
arrangement.

Pin Labeling (among devices)

“RS-485 –” = “A” = “TxD-/RxD-” = “Inverting pin”
“RS-485 +” = “B” = “TxD+/RxD+” = “Non-Inverting pin”
“RS-485 GND” = “GND” = “G” = “SC” = “Reference”

Figure 4-4.RS-485 Wiring (MODBUS)

Warning!

Place controls in manual mode when making configuration changes to the vortex meter.

Содержание AVF

Страница 1: ...Armstrong AVF and AVI Vortex Meter Installation and Operation Manual 359 EN V1 0 Please read and save these instructions...

Страница 2: ...m or by any means electronic mechanical photocopying recording or otherwise without prior permission Unless you have specifically ordered Armstrong s optional O2 cleaning this flow meter may not be fi...

Страница 3: ...Installation 16 Wafer Style Flow Meter Installation 17 Flange Style Flow Meter Installation 18 Series AVI Insertion Flow Meter Installation 19 Cold Tap Guidelines 20 Hot Tap Guidelines 21 Flow Meter I...

Страница 4: ...neric DD Menu 73 MODBUS Communications 76 Wiring 76 Menu Items 77 Register Definitions 79 BACNET MSTP Communications 86 BACNET MSTP Description 86 Baud Rates on the MS TP Bus 86 Supported BACnet Objec...

Страница 5: ...8 Insertion Calculation Meters with Insertion Tool 25 2 9 Flow Meter with Permanent Insertion Tool 26 2 10 Flow Meter with Removable Insertion Tool 27 2 11 Insertion Calculation Meters without Insert...

Страница 6: ...electric shock follow National Electric Code or your local code when wiring this unit to a power source Failure to do so could result in injury or death All AC power connections must be in accordance...

Страница 7: ...shedding velocity sensor Meters are loop powered The analog 4 20 mA output signal offers your choice of volumetric or mass flow rate Mass flow rate is based on a constant value for fluid density store...

Страница 8: ...amaged notify the local carrier and submit a report to the factory or distributor Remove the packing slip and check that all ordered components are present Make sure any spare parts or accessories are...

Страница 9: ...over powering every other nearby swirl on the verge of development Close to the shedder bar the distance or wave length between vortices is always constant and measurable Therefore the volume encompas...

Страница 10: ...e operation vortex flow meters must be correctly sized so that the flow velocity range through the meter lies within the measurable velocity range with acceptable pressure drop and the linear range Th...

Страница 11: ...ds numbers indicating a consistent linear output over a wide range of flows and fluid types Below this linear range the intelligent electronics in the AVF and AVI meters automatically correct for the...

Страница 12: ...cer ensures the same accuracy across the allowable process fluid temperature range of 330 F to 750 F 200 to 400 C Flow Meter Configurations Armstrong Vortex Mass Flow Meters are available in two model...

Страница 13: ...can be built with 316L stainless steel or Hastelloy C 276 Flow Meter Electronics Armstrong Vortex Flow Meter electronics are available mounted directly to the flow body or remotely mounted The electr...

Страница 14: ...ed the flow meter rating 2 The location meets the required minimum number of pipe diameters upstream and downstream of the sensor head as illustrated in Figure 2 1 3 Safe and convenient access with ad...

Страница 15: ...number of straight run pipe diameters upstream and down stream of the sensor Note For liquid applications in vertical pipes avoid installing with flow in the downward direction because the pipe may no...

Страница 16: ...are approximate and subject to change without notice Visit armstronginternational com for up to date information Installation Overview continued Recommended Meter Locations Liquid Horizontal Liquid Ve...

Страница 17: ...ting gasket material make sure that it is compatible with the process fluid and pressure rat ings of the specific installation Verify that the inside diameter of the gasket is larger than the inside d...

Страница 18: ...to the enclosure mounting neck This ensures that the sensor head is positioned down stream of the vortex shedder bar and is correctly aligned to the flow In stalling the meter opposite this direction...

Страница 19: ...the outlet flange with the arrow head pointing in the direction of flow The mark is on the flange adjacent to the enclo sure mounting neck This ensures that the sensor head is positioned downstream of...

Страница 20: ...ts given below Mounting Position Allow clearance between the electronics enclosure top and any other obstruction when the meter is fully retracted Isolation Valve Selection An isolation valve is avail...

Страница 21: ...ect flow meter accuracy Also obstructions could damage the sensor assembly when inserting into the pipe 5 After cutting measure the thickness of the cut out and record this number for calculating the...

Страница 22: ...e s full open bore must be at least 1 875 inches in diameter 5 Run a static pressure check on the welds If pressure loss or leaks are detected repair the joint and re test 6 Connect the hot tapping eq...

Страница 23: ...r wall of the pipe i e its wetted depth from the wall to the centerline of the sensing head is five inches Insertion flow meters are available in three probe lengths Standard Probe configuration is us...

Страница 24: ...12 inch extended F Distance from the raised face of the flange or top of NPT stem housing to the outside of the pipe wall R Pipe inside diameter divide by 2 for pipes ten inches and smaller R Five inc...

Страница 25: ...Insert the sensor into the pipe until the calculated insertion length I is measured between the base of the enclosure adapter and the top of the stem housing or to the raised face of the flanged versi...

Страница 26: ...ameters larger than ten inches t Thickness of the pipe wall Measure the disk cutout from the tapping procedure or check a piping handbook for thickness Example 1 Flange Style Meters To install an AVI...

Страница 27: ...he alignment pointer parallel to the pipe and pointing downstream Tighten the stem lock bolt to secure the sensor position 4 Slowly open the isolation valve to the full open position If necessary slig...

Страница 28: ...ation valve to the full open position If necessary slightly tighten the two packing gland nuts to reduce the leakage around the stem 6 Turn the insertion tool handle clockwise to insert the stem into...

Страница 29: ...dard probes S 41 47 inches for 12 inch extended probes F Distance from the raised face of the flange or top of NPT stem housing to the outside of the pipe wall R Pipe inside diameter divide by 2 for p...

Страница 30: ...em clamp away to expose the packing gland nuts Loosen the two packing gland nuts 3 Align the sensor head using the sensor alignment pointer Adjust the alignment pointer parallel to the pipe and pointi...

Страница 31: ...e sure to observe proper handling precautions required for static sensitive components To adjust the display 1 Disconnect power to the flow meter 2 Loosen the small set screw which secures the electro...

Страница 32: ...damage to the sensor wires do not rotate the enclosure beyond 180 degrees from the original position To adjust the enclosure 1 Remove power to the flow meter 2 Loosen locking nut at base of enclosure...

Страница 33: ...Unused apertures shall be closed with suitable blanking elements If conduit seals are used they must be installed within 18 inches 457 mm of the enclosure Figure 2 14 Loop Power Wiring Terminals Warni...

Страница 34: ...blocks locate and loosen the small set screw which locks the small enclosure cover in place Unscrew the cover to expose the terminal block DC Power Wiring Connect 4 20 mA loop power 12 to 36 VDC at 2...

Страница 35: ...ire 12 volts at the input terminals to operate correctly The maximum loop resistance load for the current loop output is dependent upon the supply voltage and is given in Figure 2 16 The 4 20 mA loop...

Страница 36: ...e or mass defined in the totalizer settings see page 3 10 has passed the meter the output provides a 50 millisecond square pulse The pulse output requires a separate 5 to 36 VDC power supply The pulse...

Страница 37: ...rate 5 to 36 VDC power supply The frequency output optical relay is a normally open single pole re lay The output can conduct a current up to 40 mA It is isolated from the meter electronics and power...

Страница 38: ...e the junction box not at the remote electronics enclosure Re move both glands and install appropriate conduit entry glands and conduit The cable entry device shall be of a certified flameproof type s...

Страница 39: ...onal com for up to date information 39 Installation Overview continued Figure 2 24 Loop Power Mass Flowmeter Junction Box Sensor Connections Figure 2 23 Loop Power Volumetric Flowmeter Junction Box Se...

Страница 40: ...the small enclosure cover in place Unscrew the cover to expose the terminal block AC Power Wiring The AC power wire size must be 20 to 10 AWG with the wire stripped 1 4 inch 7 mm The wire insulation...

Страница 41: ...thout notice Visit armstronginternational com for up to date information 41 Installation Overview continued Figure 2 27 DC Wiring Terminals Figure 2 26 AC Power Connections Caution The AC wire insulat...

Страница 42: ...in lbs 0 5 to 0 6 Nm Figure 2 28 DC Power Connections Warning Use a Class I or Class II power supply A power switch is not provided with this meter an approved switch meeting the power requirements li...

Страница 43: ...tronics re quire 12 volts at the input terminals to operate correctly The maximum loop resistance load for the current loop output is dependent upon the supply voltage and is given in Figure 2 29 The...

Страница 44: ...parate power supply Figure 2 33 the second using the flow meter power supply Figure 2 34 DC powered units only and the third using the internal 24 VDC power supply Figure 2 35 AC powered units only Us...

Страница 45: ...ions for the pulse output the first with a separate power supply Figure 2 36 the second using the flow meter power supply Figure 2 37 DC powered units only and the third using the internal 24 VDC powe...

Страница 46: ...out notice Visit armstronginternational com for up to date information Installation Overview continued Figure 2 36 Isolated Pulse Output Using External Power Supply Figure 2 37 Non Isolated Pulse Outp...

Страница 47: ...alarm output the first with a separate power supply Figure 2 39 the second using the flow meter power supply Figure 2 40 DC powered units only and the third with the meter provided power supply Figure...

Страница 48: ...t at the remote electronics enclosure Re move both glands and install appropriate conduit entry glands and conduit The cable entry device shall be of a certified flameproof type suitable for the condi...

Страница 49: ...lace Installation Overview continued Optional Input Electronics Wiring The meter has two optional input wiring terminals maximum wire size is 16 AWG These can be used to input a Remote or Second RTD i...

Страница 50: ...the flow meter using an external power supply Figure 2 45 External 4 20 mA Input Wiring DC Powered Meter Follow the above diagram to wire the external 4 20 mA input into the flow meter using power su...

Страница 51: ...nput into the flow meter using power from the 24 VDC output of an AC powered meter Figure 2 47 Optional Contact Closure Input Wiring Follow the above diagram to wire an external switch input into the...

Страница 52: ...ings unique to your operation see the following pages for instructions on using the setup menus Flow Meter Display Keypad The flow meter s digital electronics allow you to set adjust and monitor syste...

Страница 53: ...the RAM ROM EPROM and all flow sensing components After completing the self test sequence the Run Mode screens appear 3 The Run Mode displays flow information as determined by system settings Some sc...

Страница 54: ...materials weights and performance ratings are approximate and subject to change without notice Visit armstronginternational com for up to date information Operating Instructions continued Using the S...

Страница 55: ...t password When the password is correctly displayed press ENTER to continue 3 Use the Setup Menus described on the following pages to customize the multiparameter features of your AVF AVI Flow Meter T...

Страница 56: ...signs materials weights and performance ratings are approximate and subject to change without notice Visit armstronginternational com for up to date information Operating Instructions continued Output...

Страница 57: ...ears in the numerator Press key to move the underline cursor to the denominator Press the key until hr appears in the denominator Press ENTER to select 4 Press key until Units Menu appears Second set...

Страница 58: ...s smooth the values or enable or disable each item displayed in the Run Mode screens Example for Changing a Run Mode Display Item The following shows how to remove the temperature screen from the Run...

Страница 59: ...Press key until Mass Flow Unit appears Press ENTER 3 Press key until lb appears in the numerator Press key to move the underline cursor to the denominator Press the key until hr appears in the denomi...

Страница 60: ...bled while using the Setup Menus First set the desired units of measurement 1 Use keys to move to the Units Menu see page 3 12 2 Press key until Mass Flow Unit appears Press ENTER 3 Press key until kg...

Страница 61: ...nd subject to change without notice Visit armstronginternational com for up to date information 61 Operating Instructions continued Totalizer 2 Menu Use the Totalizer 2 to Monitor Flow or Energy Note...

Страница 62: ...ys select Yes for a steam system 3 Returned Select a number between 0 and 100 Estimate the amount of water that returns It is usually 100 or can be less than 100 if historical data shows the amount of...

Страница 63: ...ter is pre programmed at the factory for your application s process fluid Reference Richard W Miller Flow Measurement Engineering Handbook Third Edition 1996 page 2 75 for definition and use of the Go...

Страница 64: ...to change without notice Visit armstronginternational com for up to date information Operating Instructions continued Units Menu Use the Units Menu to configure the flow meter with the desired units o...

Страница 65: ...to set the time For example 1 00 PM is entered as 13 00 00 in the Set Time menu Example for Setting the Time How to set the time to 12 00 00 You can check the time in the Run Mode by pressing the keys...

Страница 66: ...enter any value for the sensor input in Hz The meter will calculate a flow rate based on the corresponding value and update all analog outputs the totalizer display and output is not affected by a si...

Страница 67: ...mation 67 Operating Instructions continued Calibration Menu The Calibration Menu contains the calibration coefficients for the flow meter These values should by changed only by properly trained person...

Страница 68: ...are approximate and subject to change without notice Visit armstronginternational com for up to date information Operating Instructions continued Password Menu Use the Password Menu to set or change...

Страница 69: ...cer Protocol is a bidirectional digital serial communications protocol The HART signal is based on the Bell 202 standard and is superimposed on 4 20 mA Output 1 Peer to peer analog digital and multi d...

Страница 70: ...imate and subject to change without notice Visit armstronginternational com for up to date information Serial Communications continued DC Powered Meter Wiring AC Powered Meter Wiring Figure 4 2 DC Pow...

Страница 71: ...nd performance ratings are approximate and subject to change without notice Visit armstronginternational com for up to date information 71 Serial Communications continued HART Commands with the Digita...

Страница 72: ...rformance ratings are approximate and subject to change without notice Visit armstronginternational com for up to date information Serial Communications continued HART Commands with the Digital Displa...

Страница 73: ...erformance ratings are approximate and subject to change without notice Visit armstronginternational com for up to date information 73 Serial Communications continued HART Commands with the Digital Di...

Страница 74: ...ance ratings are approximate and subject to change without notice Visit armstronginternational com for up to date information Serial Communications continued HART Commands with the Digital Display Men...

Страница 75: ...ormance ratings are approximate and subject to change without notice Visit armstronginternational com for up to date information 75 Serial Communications continued HART Commands with the Digital Displ...

Страница 76: ...performance ratings are approximate and subject to change without notice Visit armstronginternational com for up to date information Serial Communications continued HART Commands with Generic Digital...

Страница 77: ...performance ratings are approximate and subject to change without notice Visit armstronginternational com for up to date information 77 Serial Communications continued Fast Key Sequence Use password...

Страница 78: ...terials weights and performance ratings are approximate and subject to change without notice Visit armstronginternational com for up to date information Serial Communications continued Fast Key Sequen...

Страница 79: ...ng Vortex Flow Meter The physical layer utilizes the half duplex RS 485 port and the Modbus protocol Reference Documents The following documents are available online from www modbus org Modbus Applica...

Страница 80: ...bles are displayed in user selected display unit Modbus Order The byte order within registers and the order in which multiple registers containing floating point or long integer data are transmitted m...

Страница 81: ...s 05 write single coil 15 write multiple coils 10001 19999 Read only bits discrete inputs 02 read discrete inputs 30001 39999 Read only 16 bit registers input registers IEEE 754 floating point registe...

Страница 82: ...ating point numbers are formatted as single precision IEEE 754 floating point values The flow rate temperature pressure and density variables may be accessed as either the flow meter internal base uni...

Страница 83: ...he floating point and long integer registers be read in a single operation with the number of registers being a multiple of two If these data are read in two separate operations each reading a single...

Страница 84: ...ss 7 data 0xff00 Discrete Input Definitions The status of the three alarms may be monitored via the Modbus Read Discrete Input command function code 02 The value returned indicates the state of the al...

Страница 85: ...he function code in the response is the received function code with the most significant bit set and the data field will contain the exception code byte as follows Command Message Format The start add...

Страница 86: ...rst 12 registers from device with address 1 01 04 00 00 00 0C F0 0F 01 Device address 04 Function code 04 read input register 00 00 Starting address 00 0C Number of registers 12 F0 0F CRC A typical re...

Страница 87: ...error response as follows 01 Device address 84 Function code with most significant bit set indicates error response 02 Exception code 2 invalid data address C2 C1 CRC Request the state all three alar...

Страница 88: ...ontinued The unit responds with an identical message to that transmitted and the totalizer is reset If the coil is turned off as in the following message the response is also identical to the transmit...

Страница 89: ...tes It is very important that all of the devices on an MS TP bus communicate at the same baud rate The baud rate setting determines the rate at which devices communicate data over the bus The baud rat...

Страница 90: ...t object represents physical or virtual equipment information as a digital input or parameters Armstrong Vortex Flow Meters presents the following object types a Device Object b Analog Input c Binary...

Страница 91: ...ngs are approximate and subject to change without notice Visit armstronginternational com for up to date information 91 Serial Communications continued W Writable Property 3 1 Device Object The Device...

Страница 92: ...t to change without notice Visit armstronginternational com for up to date information Serial Communications continued Note Device Communication Control Password armstrong 3 2 Analog Input Object Vort...

Страница 93: ...Designs materials weights and performance ratings are approximate and subject to change without notice Visit armstronginternational com for up to date information 93 Serial Communications continued...

Страница 94: ...94 Designs materials weights and performance ratings are approximate and subject to change without notice Visit armstronginternational com for up to date information Serial Communications continued...

Страница 95: ...eters Binary Input type objects are described in the below Table 3 4 Binary Value Object Vortex Mass Flow Meters Binary Value type objects are described in the below Table Serial Communications contin...

Страница 96: ...oduct Model Number AVF AVI V2 V3 Applications Software Version 1 07 Firmware Revision N A BACnet Protocol Revision 4 Product Description Armstrong Vortex Flow Meter BACnet Standardized Device Profile...

Страница 97: ...oximate and subject to change without notice Visit armstronginternational com for up to date information 97 Serial Communications continued Segmentation Capability Able to transmit segmented messages...

Страница 98: ...rials weights and performance ratings are approximate and subject to change without notice Visit armstronginternational com for up to date information Serial Communications continued Standard Object T...

Страница 99: ...ns materials weights and performance ratings are approximate and subject to change without notice Visit armstronginternational com for up to date information 99 Serial Communications continued Object...

Страница 100: ...9200 38400 MS TP slave Clause 9 baud rate s Point To Point EIA 232 Clause 10 baud rate s Point To Point modem Clause 10 baud rate s LonTalk Clause 11 medium Other Device Address Binding Is static devi...

Страница 101: ...BACnet Network Security NS SD BVBB Multiple Application Specific Keys Supports encryption NS ED BVBB Key Server NS KS BVBB Character Sets Supported Indicating support for multiple character sets does...

Страница 102: ...g Automation and Control Network Data communication protocol MS TP Master Slave Token passing a twisted pair RS485 network created by BACnet BIBB BACnet Interoperability Building Block Specific indivi...

Страница 103: ...ys Use the right arrow key to move to the second level Press EXIT to move from the second level back to the first press EXIT while in the first level to return to the setup menus Caution password 1636...

Страница 104: ...ts and performance ratings are approximate and subject to change without notice Visit armstronginternational com for up to date information Hidden Diagnostics Menus Troubleshooting and Repair continue...

Страница 105: ...y Model AVI only V Calculated average pipe velocity ft sec Re Calculated Reynolds number Profile Factor Factory use only Obscuration Factory use only RTD1 Resistance value of integral RTD in ohms RTD2...

Страница 106: ...he totalizer pulse by increasing the value in the unit pulse setting in the totalizer menu TOF G f Factory use only Sig Rev Signal board hardware and firmware revision Miro Rev Microprocessor board ha...

Страница 107: ...t When High is selected it will give a high alarm on the output Reynolds Corr Reynolds number correction for the flow profile Set to Enable for AVI insertion and set to Disable for AVF inline Gain Con...

Страница 108: ...se only Force Recal Factory use only Min Delta H Energy EMS meters only Sets the deadband for totalization to begin Must be greater than this number 1 default to initiate the totalizer Init Displ sec...

Страница 109: ...tallation Geometry i e upstream diameters valve position downstream diameters etc Record Values Record the following values from the Run Menu with the meter installed in order to determine the operati...

Страница 110: ...rnational com for up to date information Troubleshooting and Repair continued With Flow With No Flow if possible Ck Lvl Adj Filter Iso Power Volts Meter Size Pipe ID Meter Factor Vortex Coef Ck Low Fl...

Страница 111: ...e meters make sure the meter is not installed backwards and there are no gaskets protruding into the flow stream For insertion meters verify the insertion depth and flow direction 3 The meter may be r...

Страница 112: ...onnect the vortex sensor from the electronics stack or remote feed through board Refer to Figure 5 1 or 5 2 Measure the resistance from each outside pin to the meter ground each should be open Measure...

Страница 113: ...gure 5 1 or 5 2 Measure the resistance across the outside pins of the temperature sensor connector It should read approximately 1080 ohms at room temperature higher resistance at higher temperatures 4...

Страница 114: ...nnector Use small pliers to pull the sensor wiring connectors off of the circuit boards 4 Locate and loosen the small set screw which locks the smaller enclosure cover in place Unscrew the cover to ex...

Страница 115: ...ure transducer 4 Remove the transducer and replace it with the new one using appropriate thread sealant 5 Reassemble in reverse order using acceptable thread sealant on NPT threads Returning Equipment...

Страница 116: ...116 Designs materials weights and performance ratings are approximate and subject to change without notice Visit armstronginternational com for up to date information Appendix A Product Specifications...

Страница 117: ...Designs materials weights and performance ratings are approximate and subject to change without notice Visit armstronginternational com for up to date information 117 Appendix A continued...

Страница 118: ...118 Designs materials weights and performance ratings are approximate and subject to change without notice Visit armstronginternational com for up to date information Appendix A continued...

Страница 119: ...Designs materials weights and performance ratings are approximate and subject to change without notice Visit armstronginternational com for up to date information 119 Appendix A continued...

Страница 120: ...120 Designs materials weights and performance ratings are approximate and subject to change without notice Visit armstronginternational com for up to date information Appendix A continued...

Страница 121: ...Designs materials weights and performance ratings are approximate and subject to change without notice Visit armstronginternational com for up to date information 121 Appendix A continued...

Страница 122: ...analog output scaled frequency one alarm one pulse Modbus DC or AC power 4 One 4 20mA analog output scaled frequency one alarm one pulse BACnet DC or AC power 5 Three 4 20mA analog outputs scaled fre...

Страница 123: ...e sensor 1 Maximum 30 psia 2 bara Proof 60 psia 4 bara 2 Maximum 100 psia 7 bara Proof 200 psia 14 bara 3 Maximum 300 psia 20 bara Proof 600 psia 41 bara 4 Maximum 500 psia 34 bara Proof 1000 psia 64...

Страница 124: ...Electrical Apparatus for explosive gas atmospheres Flameproof enclosures d EN 60079 31 2014 Explosive atmospheres Equipment dust ignition protection by enclosure t Directive 2014 34 EU Equipment Inten...

Страница 125: ...w Voltage Directive 2014 35 EU EN IEC 61010 1 2010 Safety requirements for electrical measuring control and laboratory devices Pressure Equipment Directive 2014 68 EU AD 2000 Merkbl tter Regulations f...

Страница 126: ...ials weights and performance ratings are approximate and subject to change without notice Visit armstronginternational com for up to date information Appendix C Flow Meter Calculations In Line Flow Me...

Страница 127: ...erials weights and performance ratings are approximate and subject to change without notice Visit armstronginternational com for up to date information 127 Appendix C continued Insertion Flow Meter Ca...

Страница 128: ...tinued Fluid Calculations Calculations for Steam T P When Steam T P is selected in the Real Gas selection of the Fluid Menu the calculations are based on the equations below Density The density of ste...

Страница 129: ...ic gravity and Ro are known and are stored in a table used by the Vortex meter The hard coefficient to find is the compressibility Z Z is found using the Redlich Kwong Equation Miller page 2 18 The Re...

Страница 130: ...ller Flow Measurement Engineering Handbook Third Edition 1996 Density The liquid density is found using the Goyal Doraiswamy Equation Goyal Doraiswamy uses the critical compressibility critical pressu...

Страница 131: ...Designs materials weights and performance ratings are approximate and subject to change without notice Visit armstronginternational com for up to date information 131 Appendix D Glossary...

Страница 132: ...132 Designs materials weights and performance ratings are approximate and subject to change without notice Visit armstronginternational com for up to date information Appendix D continued...

Страница 133: ...Designs materials weights and performance ratings are approximate and subject to change without notice Visit armstronginternational com for up to date information 133 Appendix D continued...

Страница 134: ...134 Designs materials weights and performance ratings are approximate and subject to change without notice Visit armstronginternational com for up to date information Notes...

Страница 135: ...Designs materials weights and performance ratings are approximate and subject to change without notice Visit armstronginternational com for up to date information 135 Notes...

Страница 136: ...g any part of parts found to Veris satisfaction to be defective Veris will pay the cost of shipment of both the defective part to the Veris plant and the replacement part to the original user As a con...

Страница 137: ...erformance ratings are approximate and subject to change without notice Visit armstronginternational com for up to date information Armstrong International North America Latin America India Europe Mid...

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