MX2022010799A - Mezclador estatico para flujo de fluido en una tuberia. - Google Patents

Mezclador estatico para flujo de fluido en una tuberia.

Info

Publication number
MX2022010799A
MX2022010799A MX2022010799A MX2022010799A MX2022010799A MX 2022010799 A MX2022010799 A MX 2022010799A MX 2022010799 A MX2022010799 A MX 2022010799A MX 2022010799 A MX2022010799 A MX 2022010799A MX 2022010799 A MX2022010799 A MX 2022010799A
Authority
MX
Mexico
Prior art keywords
slots
fluid flow
static mixer
pipeline
center
Prior art date
Application number
MX2022010799A
Other languages
English (en)
Inventor
Reginald Selirio
Raphael Selirio
Daniel Sawchuk
Original Assignee
Canada Pipeline Access Co Ltd
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Canada Pipeline Access Co Ltd filed Critical Canada Pipeline Access Co Ltd
Publication of MX2022010799A publication Critical patent/MX2022010799A/es

Links

Classifications

    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B01—PHYSICAL OR CHEMICAL PROCESSES OR APPARATUS IN GENERAL
    • B01F—MIXING, e.g. DISSOLVING, EMULSIFYING OR DISPERSING
    • B01F25/00—Flow mixers; Mixers for falling materials, e.g. solid particles
    • B01F25/40—Static mixers
    • B01F25/42—Static mixers in which the mixing is affected by moving the components jointly in changing directions, e.g. in tubes provided with baffles or obstructions
    • B01F25/43—Mixing tubes, e.g. wherein the material is moved in a radial or partly reversed direction
    • B01F25/431—Straight mixing tubes with baffles or obstructions that do not cause substantial pressure drop; Baffles therefor
    • B01F25/43197—Straight mixing tubes with baffles or obstructions that do not cause substantial pressure drop; Baffles therefor characterised by the mounting of the baffles or obstructions
    • B01F25/431974—Support members, e.g. tubular collars, with projecting baffles fitted inside the mixing tube or adjacent to the inner wall
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B01—PHYSICAL OR CHEMICAL PROCESSES OR APPARATUS IN GENERAL
    • B01F—MIXING, e.g. DISSOLVING, EMULSIFYING OR DISPERSING
    • B01F25/00—Flow mixers; Mixers for falling materials, e.g. solid particles
    • B01F25/40—Static mixers
    • B01F25/42—Static mixers in which the mixing is affected by moving the components jointly in changing directions, e.g. in tubes provided with baffles or obstructions
    • B01F25/43—Mixing tubes, e.g. wherein the material is moved in a radial or partly reversed direction
    • B01F25/431—Straight mixing tubes with baffles or obstructions that do not cause substantial pressure drop; Baffles therefor
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B01—PHYSICAL OR CHEMICAL PROCESSES OR APPARATUS IN GENERAL
    • B01F—MIXING, e.g. DISSOLVING, EMULSIFYING OR DISPERSING
    • B01F25/00—Flow mixers; Mixers for falling materials, e.g. solid particles
    • B01F25/40—Static mixers
    • B01F25/42—Static mixers in which the mixing is affected by moving the components jointly in changing directions, e.g. in tubes provided with baffles or obstructions
    • B01F25/43—Mixing tubes, e.g. wherein the material is moved in a radial or partly reversed direction
    • B01F25/431—Straight mixing tubes with baffles or obstructions that do not cause substantial pressure drop; Baffles therefor
    • B01F25/4316—Straight mixing tubes with baffles or obstructions that do not cause substantial pressure drop; Baffles therefor the baffles being flat pieces of material, e.g. intermeshing, fixed to the wall or fixed on a central rod
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B01—PHYSICAL OR CHEMICAL PROCESSES OR APPARATUS IN GENERAL
    • B01F—MIXING, e.g. DISSOLVING, EMULSIFYING OR DISPERSING
    • B01F25/00—Flow mixers; Mixers for falling materials, e.g. solid particles
    • B01F25/40—Static mixers
    • B01F25/42—Static mixers in which the mixing is affected by moving the components jointly in changing directions, e.g. in tubes provided with baffles or obstructions
    • B01F25/43—Mixing tubes, e.g. wherein the material is moved in a radial or partly reversed direction
    • B01F25/431—Straight mixing tubes with baffles or obstructions that do not cause substantial pressure drop; Baffles therefor
    • B01F25/4317—Profiled elements, e.g. profiled blades, bars, pillars, columns or chevrons
    • B01F25/43171—Profiled blades, wings, wedges, i.e. plate-like element having one side or part thicker than the other
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B01—PHYSICAL OR CHEMICAL PROCESSES OR APPARATUS IN GENERAL
    • B01F—MIXING, e.g. DISSOLVING, EMULSIFYING OR DISPERSING
    • B01F25/00—Flow mixers; Mixers for falling materials, e.g. solid particles
    • B01F25/40—Static mixers
    • B01F25/44—Mixers in which the components are pressed through slits
    • B01F25/441—Mixers in which the components are pressed through slits characterised by the configuration of the surfaces forming the slits
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B01—PHYSICAL OR CHEMICAL PROCESSES OR APPARATUS IN GENERAL
    • B01F—MIXING, e.g. DISSOLVING, EMULSIFYING OR DISPERSING
    • B01F33/00—Other mixers; Mixing plants; Combinations of mixers
    • B01F33/80—Mixing plants; Combinations of mixers
    • B01F33/81—Combinations of similar mixers, e.g. with rotary stirring devices in two or more receptacles
    • B01F33/811—Combinations of similar mixers, e.g. with rotary stirring devices in two or more receptacles in two or more consecutive, i.e. successive, mixing receptacles or being consecutively arranged
    • F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F15—FLUID-PRESSURE ACTUATORS; HYDRAULICS OR PNEUMATICS IN GENERAL
    • F15D—FLUID DYNAMICS, i.e. METHODS OR MEANS FOR INFLUENCING THE FLOW OF GASES OR LIQUIDS
    • F15D1/00—Influencing flow of fluids
    • F15D1/02—Influencing flow of fluids in pipes or conduits
    • F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F17—STORING OR DISTRIBUTING GASES OR LIQUIDS
    • F17D—PIPE-LINE SYSTEMS; PIPE-LINES
    • F17D3/00—Arrangements for supervising or controlling working operations
    • F17D3/18—Arrangements for supervising or controlling working operations for measuring the quantity of conveyed product

Landscapes

  • Chemical & Material Sciences (AREA)
  • Chemical Kinetics & Catalysis (AREA)
  • Dispersion Chemistry (AREA)
  • Engineering & Computer Science (AREA)
  • Mechanical Engineering (AREA)
  • General Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • Fluid Mechanics (AREA)

Abstract

Un mezclador estático para mezclar el flujo de fluido en una tubería incluye un cuerpo que tiene una pluralidad de ranuras a través del cuerpo, las ranuras están en ángulo con respecto a un eje que pasa a través del centro del cuerpo. Una pluralidad de brazos se extiende desde un borde exterior del cuerpo hacia un centro del cuerpo, cada brazo tiene una superficie plana en un primer lado del cuerpo y los lados en ángulo a lo largo al menos de una porción del mismo que se extiende a un segundo lado del cuerpo. La pluralidad de ranuras incluye al menos un anillo concéntrico de ranuras.
MX2022010799A 2016-12-12 2018-08-30 Mezclador estatico para flujo de fluido en una tuberia. MX2022010799A (es)

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
US201662432732P 2016-12-12 2016-12-12
US201762506668P 2017-05-16 2017-05-16

Publications (1)

Publication Number Publication Date
MX2022010799A true MX2022010799A (es) 2022-09-27

Family

ID=62557747

Family Applications (2)

Application Number Title Priority Date Filing Date
MX2018010502A MX2018010502A (es) 2016-12-12 2017-09-29 Mezclador estatico para flujo de fluido en una tuberia.
MX2022010799A MX2022010799A (es) 2016-12-12 2018-08-30 Mezclador estatico para flujo de fluido en una tuberia.

Family Applications Before (1)

Application Number Title Priority Date Filing Date
MX2018010502A MX2018010502A (es) 2016-12-12 2017-09-29 Mezclador estatico para flujo de fluido en una tuberia.

Country Status (7)

Country Link
US (2) US10619797B2 (es)
EP (2) EP3411135B1 (es)
CA (1) CA3012729C (es)
DE (1) DE112017000498T5 (es)
GB (2) GB2598501B (es)
MX (2) MX2018010502A (es)
WO (1) WO2018107268A1 (es)

Families Citing this family (7)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
GB2598501B (en) * 2016-12-12 2022-08-24 Canada Pipeline Access Co Ltd Static mixer for fluid flow in a pipeline
GB2581919B (en) * 2018-05-07 2023-03-15 Canada Pipeline Access Co Ltd Pipe assembly with static mixer and flow conditioner
US12508556B2 (en) 2019-11-29 2025-12-30 Dow Silicones Corporation Static mixer
USD976384S1 (en) 2020-01-13 2023-01-24 Canada Pipeline Accessories Co., Ltd. Static mixer for fluid flow
US20240173681A1 (en) * 2022-11-28 2024-05-30 Koflo Corporation Baffle Elements and Static Mixers Including Baffles Elements
CZ2023305A3 (cs) * 2023-08-07 2024-10-23 Vysoké Učení Technické V Brně Zařízení k přisávání a promíchávání proudu plynů nebo kapalin v jiném proudu plynů nebo kapalin
USD1116102S1 (en) * 2024-02-15 2026-03-03 Merck Patent Gmbh Static mixer

Family Cites Families (80)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US1113041A (en) * 1914-05-12 1914-10-06 John J Murphy Gaseous-fuel mixer
US1648708A (en) * 1925-06-01 1927-11-08 Bailey Meter Co Pressure-difference-creating device
US1702274A (en) * 1926-03-30 1929-02-19 Schmidt Ernst Determining the quantity of flowing liquids or gases
US1637697A (en) * 1927-03-07 1927-08-02 Duriron Co Mixing nozzle
US2693391A (en) * 1951-02-21 1954-11-02 David O Manseau Spray bomb
US3128794A (en) * 1963-01-08 1964-04-14 Du Pont Fluid flow inverter
GB1292365A (en) * 1969-05-23 1972-10-11 Windmoeller & Hoelscher Mixing devices for plastics materials
US3911073A (en) * 1971-06-29 1975-10-07 Lacelluphane Process for inverting flow in a conduit
GB1442329A (en) * 1972-08-11 1976-07-14 Svenska Rotor Maskiner Ab Grating structures for homogenising fluids
US4208136A (en) 1978-12-01 1980-06-17 Komax Systems, Inc. Static mixing apparatus
US4461579A (en) 1981-07-31 1984-07-24 Statiflo, Inc. Motionless mixer combination
US4495858A (en) * 1982-05-07 1985-01-29 Rocky Mountain Sheet Metal Company, Inc. Fixed blade air blender apparatus
US4614440A (en) 1985-03-21 1986-09-30 Komax Systems, Inc. Stacked motionless mixer
US4971450A (en) * 1986-01-13 1990-11-20 Horst Gerich Interfacial surface generator
US4848920A (en) * 1988-02-26 1989-07-18 Husky Injection Molding Systems Ltd. Static mixer
US5605399A (en) 1995-10-17 1997-02-25 Komax Systems, Inc. Progressive motionless mixer
JP4009035B2 (ja) * 1999-03-05 2007-11-14 株式会社フジキン 静止型混合攪拌装置
CA2343561C (en) * 2000-05-08 2004-11-30 Sulzer Chemtech Ag Mixing element for a flange transition in a pipeline
DE10051925A1 (de) * 2000-10-19 2002-05-02 Krauss Maffei Kunststofftech Statische Mischeinrichtung für die Homogenisierung von Polymerschmelzen
JP2002306938A (ja) * 2001-04-11 2002-10-22 Horiba Ltd 流体混合装置
US6615872B2 (en) * 2001-07-03 2003-09-09 General Motors Corporation Flow translocator
US6595848B1 (en) * 2002-07-03 2003-07-22 Blender Products, Inc. Static air mixing apparatus
US7198400B2 (en) * 2003-05-03 2007-04-03 Husky Injection Molding Systems Ltd. Static mixer and a method of manufacture thereof
US20050039809A1 (en) * 2003-08-21 2005-02-24 Speldrich Jamie W. Flow sensor with integrated delta P flow restrictor
DE10361411B4 (de) * 2003-12-29 2007-12-20 Albert-Ludwigs-Universität Freiburg, vertreten durch den Rektor Mischervorrichtung und Verfahren zum Mischen von zumindest zwei Flüssigkeiten
EP1716917B1 (en) * 2004-02-16 2011-04-27 Anemos Company Ltd. Mixing element and static fluid mixer using the same
US7137731B2 (en) * 2004-03-31 2006-11-21 Komax Systems, Inc. Replaceable mixing elements for motionless mixer
WO2006009056A1 (ja) * 2004-07-16 2006-01-26 Nissan Diesel Motor Co., Ltd. エンジンの排気浄化装置
US7028663B1 (en) * 2005-01-26 2006-04-18 Kim Jay S Fluid swirling device
EP1754530A1 (de) * 2005-08-18 2007-02-21 StaMixCo Technology AG Mischelement zum Invertieren und Mischen von strömenden Stoffen in einem Strömungskanal, Bausatz und Mischer enthaltend dergestalte Mischelemente, sowie Verfahren zum Mischen eines strömenden Stoffes in einem Strömungskanal
US8136980B2 (en) * 2006-07-27 2012-03-20 Komax Systems, Inc. Meter flow conditioner
US20080079179A1 (en) * 2006-08-25 2008-04-03 Lundgreen James M Turbulence induced steam dispersion apparatus
DE102006055036B4 (de) * 2006-11-22 2023-03-02 Faurecia Emissions Control Technologies, Germany Gmbh Mischelement sowie Abgasanlage für eine Verbrennungskraftmaschine
DE102007009890B4 (de) * 2007-02-28 2025-05-28 Emcon Technologies Germany (Augsburg) Gmbh Statisches Mischelement sowie Verfahren zur Herstellung eines statischen Mischelements
DE102007019878A1 (de) * 2007-04-25 2008-11-06 J. Eberspächer GmbH & Co. KG Misch- und/oder Verdampfungseinrichtung und zugehöriges Herstellungsverfahren
JP2009041371A (ja) 2007-08-06 2009-02-26 Bosch Corp 内燃機関の排気浄化装置及びミキサーユニット
JP4397943B2 (ja) * 2007-08-24 2010-01-13 トヨタ紡織株式会社 旋回流発生装置
FR2921415B1 (fr) 2007-09-25 2010-12-31 Faurecia Sys Echappement Melangeur destine a etre dispose a l'interieur d'un element d'une ligne d'echappement d'un vehicule automobile
US8141353B2 (en) * 2008-04-25 2012-03-27 Tenneco Automotive Operating Company Inc. Exhaust gas additive/treatment system and mixer for use therein
US8042989B2 (en) * 2009-05-12 2011-10-25 Cavitation Technologies, Inc. Multi-stage cavitation device
US8397495B2 (en) * 2008-06-26 2013-03-19 Tenneco Automotive Operating Company Inc. Exhaust gas additive/treatment system and mixer for use therein
EP2342434B1 (en) * 2008-09-19 2012-08-15 Renault Trucks Mixing device in an exhaust gas pipe
DE102008049891B4 (de) * 2008-10-02 2012-12-06 Hydrometer Gmbh Strömungsrichter für ein Durchflussmessgerät, insbesondere ein Ultraschallmessgerät
US9474301B2 (en) * 2008-10-27 2016-10-25 Cavitation Technologies, Inc. Flow-through cavitation-assisted rapid modification of beverage fluids
US8220444B2 (en) * 2009-05-27 2012-07-17 Mackson Limited System for improving the efficiency of an internal combustion engine of a vehicle
US9016928B1 (en) * 2009-07-23 2015-04-28 The United States Of America As Represented By The Administrator Of The National Aeronautics And Space Administration Eddy current minimizing flow plug for use in flow conditioning and flow metering
US8342159B2 (en) * 2009-08-06 2013-01-01 Rexecon International, Inc. Fuel line ionizer
US7954514B2 (en) * 2009-09-30 2011-06-07 Chun-Shuo Tung Air-admitting guide member
US9010994B2 (en) * 2010-01-21 2015-04-21 Fluid Components International Llc Flow mixer and conditioner
JP5848351B2 (ja) * 2010-09-28 2016-01-27 ダウ グローバル テクノロジーズ エルエルシー クロスフロー障害体を有する反応流静的ミキサ
US8347733B2 (en) 2010-10-25 2013-01-08 Cameron International Corporation Conditioner, apparatus and method
GB201100673D0 (en) * 2011-01-15 2011-03-02 Statiflo Internat Ltd Static mixer assembly
DE102011103859A1 (de) * 2011-05-27 2012-11-29 Krohne Ag Hilfseinrichtung für Durchflussmessgeräte
DE102011077645A1 (de) * 2011-06-16 2012-12-20 Bosch Emission Systems Gmbh & Co. Kg Statischer Mischer
DE102011111765B4 (de) * 2011-08-24 2023-06-22 Friedrich Boysen Gmbh & Co. Kg Mischereinrichtung
US8826649B2 (en) * 2011-10-18 2014-09-09 GM Global Technology Operations LLC Assembly for mixing liquid within gas flow
KR101316407B1 (ko) * 2011-11-22 2013-10-08 기아자동차주식회사 배기가스 혼합장치
EP2826547B1 (en) * 2012-03-13 2017-08-23 Isel Co., Ltd. Mixing unit, devices using same and fluid mixing method
US8739519B2 (en) * 2012-04-17 2014-06-03 Ford Global Technologies, Llc Multi-tiered telescope shaped atomizer
USD697942S1 (en) * 2012-05-23 2014-01-21 Katcon Global, S.A. Mixer assembly
WO2014051598A1 (en) * 2012-09-28 2014-04-03 Faurecia Emissions Control Technologies Anti-deposit forming surface finish for exhaust system mixer
US9555379B2 (en) * 2013-03-13 2017-01-31 Bayer Healthcare Llc Fluid path set with turbulent mixing chamber, backflow compensator
US20140301157A1 (en) 2013-04-03 2014-10-09 Westfall Manufacturing Company Static Mixer
US9067183B2 (en) 2013-04-03 2015-06-30 Westfall Manufacturing Company Static mixer
US9221022B2 (en) 2013-04-03 2015-12-29 Westfall Manufacturing Company Static mixer
CA2911516C (en) 2013-05-21 2016-07-12 Canada Pipeline Accessories, Co. Ltd. Flow conditioner and method of designing same
DE102014215083B4 (de) * 2014-07-31 2023-11-02 Purem GmbH Mischer und Mischeinrichtung für eine Abgasanlage
WO2016024207A1 (en) 2014-08-13 2016-02-18 Officine Metallurgiche G. Cornaglia S.P.A. Dynamic mixer with movable vanes for exhaust gases of i.c. engines
US9718037B2 (en) 2014-12-17 2017-08-01 Caterpillar Inc. Mixing system for aftertreatment system
DE102014018852B4 (de) * 2014-12-17 2023-02-02 Audi Ag Abgasanlage einer Brennkraftmaschine mit einem mit einer Anithaftbeschichtung versehenen Mischer für ein flüssiges Reduktionsmittel
GB201505803D0 (en) * 2015-04-02 2015-05-20 Hanovia Ltd Conditioning and treating a fluid flow
JP6560093B2 (ja) * 2015-10-16 2019-08-14 ヤンマー株式会社 船舶の排気ガス浄化装置
US10288292B2 (en) * 2016-01-15 2019-05-14 Delavan Inc Swirlers
SE540218C2 (en) * 2016-04-08 2018-05-02 Sandvik Intellectual Property A static mixing module and a steam heater
US20170362987A1 (en) * 2016-06-20 2017-12-21 Electro-Motive Diesel Engine system having mixing mechanism for exhaust and injected fluid and engine exhaust treatment strategy
GB2598501B (en) * 2016-12-12 2022-08-24 Canada Pipeline Access Co Ltd Static mixer for fluid flow in a pipeline
GB201705200D0 (en) * 2017-03-31 2017-05-17 Fives Landis Ltd Fluid mixing device
WO2018185866A1 (ja) * 2017-04-05 2018-10-11 株式会社Ｔｏｓｈｉｎ マイクロバブル発生装置及びシャワーヘッド
EP3489603B1 (de) * 2017-11-28 2021-06-16 Promix Solutions AG Wärmetauscher
KR102727900B1 (ko) * 2019-05-02 2024-11-07 현대자동차주식회사 차량용 배기시스템

Also Published As

Publication number Publication date
GB2564264B (en) 2022-02-23
MX2018010502A (es) 2018-11-09
EP3411135B1 (en) 2023-08-16
EP3967392B1 (en) 2023-08-16
CA3012729A1 (en) 2018-06-21
GB2598501B (en) 2022-08-24
GB2564264A (en) 2019-01-09
EP3411135A1 (en) 2018-12-12
GB201811747D0 (en) 2018-08-29
US10619797B2 (en) 2020-04-14
EP3967392A1 (en) 2022-03-16
DE112017000498T5 (de) 2018-11-22
US20190338888A1 (en) 2019-11-07
US20200149687A1 (en) 2020-05-14
WO2018107268A1 (en) 2018-06-21
CA3012729C (en) 2019-01-15
GB2598501A (en) 2022-03-02
EP3411135A4 (en) 2019-09-18
US11224846B2 (en) 2022-01-18

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