EN 1267:2012
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Current
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Industrial valves - Test of flow resistance using water as test fluid
Published date
18-01-2012
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Foreword
1 Scope
2 Normative references
3 Terms and definitions
4 Test facility
5 Test procedure
6 Calculation
7 Test report
Annex A (informative) - Lower zeta limit
considerations
Annex B (informative) - Flow rate and
physical phenomena of flow
through a valve
Annex C (informative) - Uncertainty on
measurement
Annex D (informative) - Evaluation of
uncertainty of flow rate
coefficient (K[v]) and pressure
losses coefficient (zeta)
Bibliography
This European Standard specifies a method for determining valve pressure loss coefficient and fluid flow coefficient using water as test fluid. This method is suitablefor valves with low zeta values but higher than 0,1 by determining pressure loss, with respect to fluid flow rate and specific gravity, andfor valves with equal inlet and outlet nominal size.Industrial process control valves are excluded from this European Standard.NOTE 1For zeta values above 6, the pressure loss coefficient inaccuracy is higher than the pressure loss caused by the test tubes. It becomes the same configuration of tests as in EN 60534-2-3.NOTE 2If using air as test fluid, other standards e.g. EN 60534-2-3 and ISO 6358 should be referred to.
| Committee |
CEN/TC 69
|
| DevelopmentNote |
Supersedes PREN 1267. (02/2012)
|
| DocumentType |
Standard
|
| PublisherName |
Comite Europeen de Normalisation
|
| Status |
Current
|
| Standards | Relationship |
| NBN EN 1267 : 2012 | Identical |
| UNI EN 1267 : 2012 | Identical |
| I.S. EN 1267:2012 | Identical |
| PN EN 1267 : 2012 | Identical |
| DIN EN 1267:2012-04 | Identical |
| SN EN 1267 : 2012 | Identical |
| NS EN 1267 : 2012 | Identical |
| NEN EN 1267 : 2012 | Identical |
| NF EN 1267 : 2012 | Identical |
| UNE-EN 1267:2012 | Identical |
| BS EN 1267:2012 | Identical |
| EN 13175:2014 | LPG Equipment and accessories - Specification and testing for Liquefied Petroleum Gas (LPG) pressure vessel valves and fittings |
| BS ISO 9644:2008 | Agricultural irrigation equipment. Pressure losses in irrigation valves. Test method |
| 17/30356070 DC : 0 | BS ISO 9644 - AGRICULTURAL IRRIGATION EQUIPMENT - PRESSURE LOSSES IN IRRIGATION VALVES - TEST METHOD |
| BS EN 593:2017 | Industrial valves. Metallic butterfly valves for general purposes |
| 03/118276 DC : DRAFT NOV 2003 | BS EN 14812-1 - WATER CONDITIONING EQUIPMENT INSIDE BUILDINGS - CHEMICAL DOSING SYSTEMS - REQUIREMENTS FOR PERFORMANCE AND SAFETY TESTING - PART 1: PRE-SET DOSING SYSTEMS |
| 13/30271153 DC : 0 | BS ISO 13693-2 - IRRIGATION EQUIPMENT - SAFETY DEVICES FOR CHEMIGATION - PART 2: CHEMIGATION VALVE ASSEMBLIES FROM DN 75 TO DN 350 |
| 01/122758 DC : DRAFT JULY 2001 | ISO/DIS 16135 - INDUSTRIAL VALVES - BALL VALVES OF THERMOPLASTIC MATERIALS |
| 04/30126819 DC : DRAFT DEC 2004 | EN 15096 - HOSE UNION ANTI-VACUUM VALVES - DN15 TO DN25 INCLUSIVE FAMILY H, TYPE B AND TYPE D - GENERAL TECHNICAL SPECIFICATION |
| 01/709788 DC : DRAFT JUN 2001 | PREN ISO 21787 - INDUSTRIAL VALVES - GLOBE VALVES OF THERMOPLASTIC MATERIALS |
| 01/709786 DC : DRAFT JUN 2001 | PREN ISO 16137 - INDUSTRIAL VALVES - CHECK VALVES OF THERMOPLASTIC MATERIALS |
| I.S. EN ISO 16136:2006 | INDUSTRIAL VALVES - BUTTERFLY VALVES OF THERMOPLASTICS MATERIALS |
| I.S. EN ISO 21787:2006 | INDUSTRIAL VALVES - GLOBE VALVES OF THERMOPLASTICS MATERIALS |
| I.S. EN ISO 16138:2006 | INDUSTRIAL VALVES - DIAPHRAGM VALVES OF THERMOPLASTICS MATERIALS |
| I.S. EN ISO 16139:2006 | INDUSTRIAL VALVES - GATE VALVES OF THERMOPLASTICS MATERIALS |
| I.S. EN ISO 16135:2006 | INDUSTRIAL VALVES - BALL VALVES OF THERMOPLASTICS MATERIALS |
| ONORM EN ISO 16139 : 2008 | INDUSTRIAL VALVES - GATE VALVES OF THERMOPLASTICS MATERIALS |
| I.S. EN ISO 16137:2006 | INDUSTRIAL VALVES - CHECK VALVES OF THERMOPLASTICS MATERIALS |
| DIN EN 13434:2006-05 | DEVICES TO PREVENT POLLUTION BY BACKFLOW OF POTABLE WATER - MECHANICAL DISCONNECTOR, HYDRAULIC ACTUATED - FAMILY G - TYPE B |
| DIN EN 13433:2006-05 | DEVICES TO PREVENT POLLUTION BY BACKFLOW OF POTABLE WATER - MECHANICAL DISCONNECTOR, DIRECT ACTUATED - FAMILY G - TYPE A |
| BS EN 14267:2004 | Irrigation techniques. Irrigation hydrants |
| BS EN ISO 16135:2006 | Industrial valves. Ball valves of thermoplastic materials |
| BS ISO 6358-3:2014 | Pneumatic fluid power. Determination of flow-rate characteristics of components using compressible fluids Method for calculating steady-state flow-rate characteristics of systems |
| BS EN ISO 16139:2006 | Industrial valves. Gate valves of thermoplastic materials |
| BS EN 14367:2005 | Non controllable backflow preventer with different pressure zones. Family C, type A |
| I.S. EN 14812:2005 | WATER CONDITIONING EQUIPMENT INSIDE BUILDINGS - CHEMICAL DOSING SYSTEMS - PRE-SET DOSING SYSTEMS - REQUIREMENTS FOR PERFORMANCE, SAFETY AND TESTING |
| EN 12729:2002 | Devices to prevent pollution by backflow of potable water - Controllable backflow preventer with reduced pressure zone - Family B - Type A |
| EN 1074-3:2000 | Valves for water supply - Fitness for purpose requirements and appropriate verification tests - Part 3: Check valves |
| DIN EN 14367:2005-10 | Non controllable backflow preventer with different pressure zones - Family C, type A |
| EN 13433:2006 | Devices to prevent pollution by backflow of potable water - Mechanical disconnector, direct actuated - Family G, type A |
| EN 1074-5:2001 | Valves for water supply - Fitness for purpose requirements and appropriate verification tests - Part 5: Control valves |
| I.S. EN 12729:2002 | DEVICES TO PREVENT POLLUTION BY BACKFLOW OF POTABLE WATER - CONTROLLABLE BACKFLOW PREVENTER WITH REDUCED PRESSURE ZONE - FAMILY B - TYPE A |
| BS ISO 13693-2:2015 | Irrigation equipment. Safety devices for chemigation Chemigation valve assemblies from DN 75 (3”) to DN 350 (14”) |
| ISO 9644:2008 | Agricultural irrigation equipment Pressure losses in irrigation valves Test method |
| UNE-EN 13175:2015 | LPG Equipment and accessories - Specification and testing for Liquefied Petroleum Gas (LPG) pressure vessel valves and fittings |
| 16/30339483 DC : 0 | BS EN 593 - INDUSTRIAL VALVES - METALLIC BUTTERFLY VALVES FOR GENERAL PURPOSES |
| 07/30153381 DC : 0 | BS ISO 9644 - AGRICULTURAL IRRIGATION EQUIPMENT - PRESSURE LOSSES IN IRRIGATION VALVES - TEST METHOD |
| 01/122757 DC : DRAFT JULY 2001 | ISO/DIS 16138 - INDUSTRIAL VALVES - DIAPHRAGM VALVES OF THERMOPLASTIC MATERIALS |
| I.S. EN 593:2017 | INDUSTRIAL VALVES - METALLIC BUTTERFLY VALVES FOR GENERAL PURPOSES |
| BS EN 13175:2014 | LPG Equipment and accessories. Specification and testing for Liquefied Petroleum Gas (LPG) pressure vessel valves and fittings |
| ONORM EN ISO 16136 : 2008 | INDUSTRIAL VALVES - BUTTERFLY VALVES OF THERMOPLASTICS MATERIALS |
| ONORM EN ISO 16137 : 2008 | INDUSTRIAL VALVES - CHECK VALVES OF THERMOPLASTICS MATERIALS |
| DIN EN 14268:2005-11 | IRRIGATION TECHNIQUES - METERS FOR IRRIGATION WATER |
| DIN EN 14267:2004-10 | Irrigation techniques - Irrigation hydrants |
| ISO 16136:2006 | Industrial valves Butterfly valves of thermoplastics materials |
| 17/30362889 DC : 0 | BS EN 13175 - LPG EQUIPMENT AND ACCESSORIES - SPECIFICATION AND TESTING FOR LIQUEFIED PETROLEUM GAS (LPG) PRESSURE VESSEL VALVES AND FITTINGS |
| BS EN 14812 : 2005 | WATER CONDITIONING EQUIPMENT INSIDE BUILDINGS - CHEMICAL DOSING SYSTEMS - PRE-SET DOSING SYSTEMS - REQUIREMENTS FOR PERFORMANCE, SAFETY AND TESTING |
| BS EN 12729:2002 | Devices to prevent pollution by backflow of potable water. Controllable backflow preventer with reduced pressure zone. Family B. Type A |
| UNE-EN 593:2009 | Industrial valves - Metallic butterfly valves |
| I.S. EN 1074-6:2009 | VALVES FOR WATER SUPPLY - FITNESS FOR PURPOSE REQUIREMENTS AND APPROPRIATE VERIFICATION TESTS - PART 6: HYDRANTS |
| I.S. EN 12266-2:2012 | INDUSTRIAL VALVES - TESTING OF METALLIC VALVES - PART 2: TESTS, TEST PROCEDURES AND ACCEPTANCE CRITERIA - SUPPLEMENTARY REQUIREMENTS |
| I.S. EN 13434:2006 | DEVICES TO PREVENT POLLUTION BY BACKFLOW OF POTABLE WATER - MECHANICAL DISCONNECTOR, HYDRAULIC ACTUATED - FAMILY G, TYPE B |
| I.S. EN 13433:2006 | DEVICES TO PREVENT POLLUTION BY BACKFLOW OF POTABLE WATER - MECHANICAL DISCONNECTOR, DIRECT ACTUATED - FAMILY G, TYPE A |
| 05/30138214 DC : DRAFT AUG 2005 | ISO 9635-3 - AGRICULTURAL IRRIGATION EQUIPMENT - IRRIGATION VALVES - PART 3: CHECK VALVES |
| BS ISO 9635-3:2014 | Agricultural irrigation equipment. Irrigation valves Check valves |
| 09/30202316 DC : 0 | BS EN 12514-4 - PARTS FOR SUPPLY SYSTEMS FOR CONSUMING UNITS WITH LIQUID FUELS - PART 4: SAFETY REQUIREMENTS AND TESTS - PIPINGS AND PARTS WITHIN PIPELINES |
| 10/30218988 DC : 0 | BS EN 13175 - LPG EQUIPMENT AND ACCESSORIES - SPECIFICATION AND TESTING FOR LIQUEFIED PETROLEUM GAS (LPG) TANK VALVES AND FITTINGS |
| I.S. EN 12874:2001 | FLAME ARRESTERS - PERFORMANCE REQUIREMENTS, TEST METHODS AND LIMITS FOR USE |
| 08/30187521 DC : 0 | BS EN 593 - INDUSTRIAL VALVES - METALLIC BUTTERFLY VALVES |
| 01/122755 DC : DRAFT JULY 2001 | ISO/DIS 21787 - INDUSTRIAL VALVES - GLOBE VALVES OF THERMOPLASTIC MATERIALS |
| 01/709785 DC : DRAFT JUN 2001 | PREN ISO 16136 - INDUSTRIAL VALVES - BUTTERFLY VALVES OF THERMOPLASTIC MATERIALS |
| ISO 9635-3:2014 | Agricultural irrigation equipment Irrigation valves Part 3: Check valves |
| EN 12266-2:2012 | Industrial valves - Testing of metallic valves - Part 2: Tests, test procedures and acceptance criteria - Supplementary requirements |
| ONORM EN ISO 16138 : 2008 | INDUSTRIAL VALVES - DIAPHRAGM VALVES OF THERMOPLASTICS MATERIALS |
| DIN EN 1074-6:2009-03 | VALVES FOR WATER SUPPLY - FITNESS FOR PURPOSE REQUIREMENTS AND APPROPRIATE VERIFICATION TESTS - PART 6: HYDRANTS |
| DIN EN ISO 16135:2006-06 | INDUSTRIAL VALVES - BALL VALVES OF THERMOPLASTICS MATERIALS |
| BS EN 1074-3:2000 | Valves for water supply. Fitness for purpose requirements and appropriate verification tests Check valves |
| BS EN ISO 16138:2006 | Industrial valves. Diaphragm valves of thermoplastics materials |
| ISO 16135:2006 | Industrial valves Ball valves of thermoplastics materials |
| UNI EN 14268 : 2006 | IRRIGATION TECHNIQUES - METERS FOR IRRIGATION WATER |
| EN ISO 21787:2006 | Industrial valves - Globe valves of thermoplastics materials (ISO 21787:2006) |
| UNI EN 1074-6 : 2009 | VALVES FOR WATER SUPPLY - FITNESS FOR PURPOSE REQUIREMENTS AND APPROPRIATE VERIFICATION TESTS - PART 6: HYDRANTS |
| UNI EN 12266-2 : 2012 | INDUSTRIAL VALVES - TESTING OF METALLIC VALVES - PART 2: TESTS, TEST PROCEDURES AND ACCEPTANCE CRITERIA - SUPPLEMENTARY REQUIREMENTS |
| 14/30300117 DC : 0 | BS EN 13175 - LPG EQUIPMENT AND ACCESSORIES - SPECIFICATION AND TESTING FOR LIQUEFIED PETROLEUM GAS (LPG) PRESSURE VESSEL VALVES AND FITTINGS |
| 13/30282119 DC : 0 | BS ISO 9635-3 - AGRICULTURAL IRRIGATION EQUIPMENT - IRRIGATION VALVES - PART 3: CHECK VALVES |
| PREN 593 : DRAFT 2016 | INDUSTRIAL VALVES - METALLIC BUTTERFLY VALVES FOR GENERAL PURPOSES |
| ISO 13693-2:2015 | Irrigation equipment Safety devices for chemigation Part 2: Chemigation valve assemblies from DN 75 (3") to DN 350 (14") |
| ONORM EN ISO 16135 : 2008 | INDUSTRIAL VALVES - BALL VALVES OF THERMOPLASTICS MATERIALS |
| DIN EN ISO 16138:2006-06 | INDUSTRIAL VALVES - DIAPHRAGM VALVES OF THERMOPLASTICS MATERIALS |
| DIN EN ISO 16136:2006-06 | INDUSTRIAL VALVES - BUTTERFLY VALVES OF THERMOPLASTICS MATERIALS |
| DIN EN ISO 16137:2006-06 | INDUSTRIAL VALVES - CHECK VALVES OF THERMOPLASTICS MATERIALS |
| DIN EN ISO 16139:2006-06 | INDUSTRIAL VALVES - GATE VALVES OF THERMOPLASTICS MATERIALS |
| ISO 21787:2006 | Industrial valves Globe valves of thermoplastics materials |
| BS EN 14268:2005 | Irrigation techniques. Meters for irrigation water |
| BS EN ISO 16137:2006 | Industrial valves. Check valves of thermoplastic materials |
| BS EN 1074-5:2001 | Valves for water supply. Fitness for purpose requirements and appropriate verification tests Control valves |
| BS EN 13959:2004 | Anti-pollution check valves. DN 6 to DN 250 inclusive Family E, type A, B, C, and D |
| BS EN ISO 21787:2006 | Industrial valves. Globe valves of thermoplastics materials |
| UNE-EN 1074-6:2011 | Valves for water supply - Fitness for purpose requirements and appropriate verification tests - Part 6: Hydrants |
| ISO 16137:2006 | Industrial valves Check valves of thermoplastics materials |
| BS EN ISO 16136:2006 | Industrial valves. Butterfly valves of thermoplastic materials |
| UNE-EN 12266-2:2013 | Industrial valves - Testing of metallic valves - Part 2: Tests, test procedures and acceptance criteria - Supplementary requirements |
| ISO 16139:2006 | Industrial valves Gate valves of thermoplastics materials |
| BS EN 1074-2:2000 | Valves for water supply. Fitness for purpose requirements and appropriate verification tests Isolating valves |
| BS EN 1074-6:2008 | Valves for water supply. Fitness for purpose requirements and appropriate verification tests Hydrants |
| BS EN 13434:2006 | Devices to prevent pollution by backflow of potable water. Mechanical disconnector, hydraulic actuated. Family G, type B |
| BS EN 12266-2:2012 | Industrial valves. Testing of metallic valves Tests, test procedures and acceptance criteria. Supplementary requirements |
| DIN EN ISO 21787:2006-06 | INDUSTRIAL VALVES - GLOBE VALVES OF THERMOPLASTICS MATERIALS |
| ISO 6358-3:2014 | Pneumatic fluid power Determination of flow-rate characteristics of components using compressible fluids Part 3: Method for calculating steady-state flow-rate characteristics of systems |
| EN ISO 16139:2006 | Industrial valves - Gate valves of thermoplastics materials (ISO 16139:2006) |
| EN 14812:2005+A1:2007 | Water conditioning equipment inside buildings - Chemical dosing systems - Pre-set dosing systems - Requirements for performance, safety and testing |
| EN ISO 16135:2006 | Industrial valves - Ball valves of thermoplastics materials (ISO 16135:2006) |
| EN ISO 16136:2006 | Industrial valves - Butterfly valves of thermoplastics materials (ISO 16136:2006) |
| EN 13959:2004 | Anti-pollution check valves - DN 6 to DN 250 inclusive family E, type A, B, C and D |
| EN ISO 16138:2006 | Industrial valves - Diaphragm valves of thermoplastics materials (ISO 16138:2006) |
| EN 593:2017 | Industrial valves - Metallic butterfly valves for general purposes |
| EN ISO 16137:2006 | Industrial valves - Check valves of thermoplastics materials (ISO 16137:2006) |
| EN 14367:2005 | Non controllable backflow preventer with different pressure zones - Family C, type A |
| UNI EN 13175 : 2015 | LPG EQUIPMENT AND ACCESSORIES - SPECIFICATION AND TESTING FOR LIQUEFIED PETROLEUM GAS (LPG) PRESSURE VESSEL VALVES AND FITTINGS |
| 01/709784 DC : DRAFT JUN 2001 | PREN ISO 16135 - INDUSTRIAL VALVES - BALL VALVES OF THERMOPLASTIC MATERIALS |
| 09/30202313 DC : 0 | BS EN 12514-3 - PARTS FOR SUPPLY SYSTEMS FOR CONSUMING UNITS WITH LIQUID FUELS - PART 3: SAFETY REQUIREMENTS AND TESTS - VALVES AND METERS |
| 01/709787 DC : DRAFT JUN 2001 | PREN ISO 16138 - INDUSTRIAL VALVES - DIAPHRAGM VALVES OF THERMOPLASTIC MATERIALS |
| 01/122754 DC : DRAFT JULY 2001 | ISO/DIS 16137 - INDUSTRIAL VALVES - CHECK VALVES OF THERMOPLASTIC MATERIALS |
| I.S. EN 13175:2014 | LPG EQUIPMENT AND ACCESSORIES - SPECIFICATION AND TESTING FOR LIQUEFIED PETROLEUM GAS (LPG) PRESSURE VESSEL VALVES AND FITTINGS |
| DIN EN 13175:2015-02 | LPG EQUIPMENT AND ACCESSORIES - SPECIFICATION AND TESTING FOR LIQUEFIED PETROLEUM GAS (LPG) PRESSURE VESSEL VALVES AND FITTINGS |
| ONORM EN ISO 21787 : 2008 | INDUSTRIAL VALVES - GLOBE VALVES OF THERMOPLASTICS MATERIALS |
| BS EN 12874:2001 | Flame arresters. Performance requirements, test methods and limits for use |
| 11/30254394 DC : 0 | BS ISO 6358-3 - PNEUMATIC FLUID POWER - DETERMINATION OF FLOW-RATE CHARACTERISTICS OF COMPONENTS - PART 3: METHOD FOR CALCULATING STEADY-STATE FLOW-RATE CHARACTERISTICS OF ASSEMBLIES |
| ISO 16138:2006 | Industrial valves Diaphragm valves of thermoplastics materials |
| BS EN 13433:2007 | Devices to prevent pollution by backflow of potable water. Mechanical disconnector, direct actuated. Family G, type A |
| DIN EN 14812:2007-09 | WATER CONDITIONING EQUIPMENT INSIDE BUILDINGS - CHEMICAL DOSING SYSTEMS - PRE-SET DOSING SYSTEMS - REQUIREMENTS FOR PERFORMANCE, SAFETY AND TESTING |
| EN 1074-6:2008 | Valves for water supply - Fitness for purpose requirements and appropriate verification tests - Part 6: Hydrants |
| EN 13434:2006 | Devices to prevent pollution by backflow of potable water - Mechanical disconnector, hydraulic actuated - Family G, type B |
| DIN EN 1074-2:2004-07 | Valves for water supply - Fitness for purpose requirements and appropriate verification tests - Part 2: Isolating valves |
| DIN EN 12266-2:2012-04 | Industrial valves - Testing of metallic valves - Part 2: Tests, test procedures and acceptance criteria - Supplementary requirements |
| DIN EN 13959:2005-01 | Anti-pollution check valves - DN 6 to DN 250 inclusive - Family E, type A, B, C and D; German version EN 13959:2004 |
| EN 12874 : 2001 | FLAME ARRESTERS - PERFORMANCE REQUIREMENTS, TEST METHODS AND LIMITS FOR USE |
| EN 1057:2006+A1:2010 | Copper and copper alloys - Seamless, round copper tubes for water and gas in sanitary and heating applications |
| EN 24006:1993 | Measurement of fluid flow in closed conduits - Vocabulary and symbols (ISO 4006:1991) |
| ISO 6358:1989 | Pneumatic fluid power Components using compressible fluids Determination of flow-rate characteristics |
| ISO 6708:1995 | Pipework components Definition and selection of DN (nominal size) |
| EN ISO 1127:1996 | Stainless steel tubes - Dimensions, tolerances and conventional masses per unit length (ISO 1127:1992) |
| EN ISO 6708:1995 | Pipework components - Definition and selection of DN (nominal size) (ISO 6708:1995) |
| ISO 7-1:1994 | Pipe threads where pressure-tight joints are made on the threads Part 1: Dimensions, tolerances and designation |
| ISO 4200:1991 | Plain end steel tubes, welded and seamless — General tables of dimensions and masses per unit length |
| EN 60534-2-1:2011/AC:2015 | INDUSTRIAL-PROCESS CONTROL VALVES - PART 2-1: FLOW CAPACITY - SIZING EQUATIONS FOR FLUID FLOW UNDER INSTALLED CONDITIONS (IEC 60534-2-1:2011) |
| ISO 65:1981 | Carbon steel tubes suitable for screwing in accordance with ISO 7-1 |
| EN 60534-2-3:2016 | Industrial-process control valves - Part 2-3: Flow capacity - Test procedures |
| ISO 7194:2008 | Measurement of fluid flow in closed conduits — Velocity-area methods of flow measurement in swirling or asymmetric flow conditions in circular ducts by means of current-meters or Pitot static tubes |
| IEC 60534-2-3:2015 | Industrial-process control valves - Part 2-3: Flow capacity - Test procedures |
| ISO 7598:1988 | Stainless steel tubes suitable for screwing in accordance with ISO 7-1 |
| IEC 60534-2-1:2011 | Industrial-process control valves - Part 2-1: Flow capacity - Sizing equations for fluid flow under installed conditions |
| ISO 4006:1991 | Measurement of fluid flow in closed conduits — Vocabulary and symbols |
| EN 736-3:2008 | Valves - Terminology - Part 3: Definition of terms |
| ISO/IEC Guide 98-3:2008 | Uncertainty of measurement — Part 3: Guide to the expression of uncertainty in measurement (GUM:1995) |
| ISO 1127:1992 | Stainless steel tubes Dimensions, tolerances and conventional masses per unit length |
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