Mathematical Model and Experiment Validation of Fluid Torque by Shear Stress under Influence of Fluid Temperature in Hydro-viscous Clutch
The current design of hydro-viscous clutch(HVC) in tracked vehicle fan transmission mainly focuses on high-speed and high power. However, the fluid torque under the influence of fluid temperature can not be predicted accurately by conventional mathematical model or experimental research. In order to...
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description | The current design of hydro-viscous clutch(HVC) in tracked vehicle fan transmission mainly focuses on high-speed and high power. However, the fluid torque under the influence of fluid temperature can not be predicted accurately by conventional mathematical model or experimental research. In order to validate the fluid torque of HVC by taking the viscosity-temperature characteristic of fluid into account, the test rig is designed. The outlet oil temperature is measured and fitted with different rotation speed, oil film thickness, oil flow rate, and inlet oil temperature. Meanwhile, the film torque can be obtained. Based on Navier-Stokes equations and the continuity equation, the mathematical model of fluid torque is proposed in cylindrical coordinate. Iterative method is employed to solve the equations. The radial and tangential speed distribution, radial pressure distribution and theoretical flow rate are determined and analyzed. The models of equivalent radius and fluid torque of friction pairs are introduced. The experimental and theoretical results indicate that tangential speed distribution is mainly determined by the relative rotating speed between the friction plate and the separator disc. However, the radial speed distribution and pressure distribution are dominated by pressure difference at the lower rotating speed. The oil film fills the clearance and the film torque increases with increasing rotating speed. However, when the speed reaches a certain value, the centrifugal force will play an important role on the fluid distribution. The pressure is negative at the outer radius when inlet flow rate is less than theoretical flow, so the film starts to shrink which decreases the film torque sharply. The theoretical fluid torque has good agreement with the experimental data. This research proposes a new fluid torque mathematical model which may predict the film torque under the influence of temperature more accurately. |
doi_str_mv | 10.3901/CJME.2014.01.032 |
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However, the fluid torque under the influence of fluid temperature can not be predicted accurately by conventional mathematical model or experimental research. In order to validate the fluid torque of HVC by taking the viscosity-temperature characteristic of fluid into account, the test rig is designed. The outlet oil temperature is measured and fitted with different rotation speed, oil film thickness, oil flow rate, and inlet oil temperature. Meanwhile, the film torque can be obtained. Based on Navier-Stokes equations and the continuity equation, the mathematical model of fluid torque is proposed in cylindrical coordinate. Iterative method is employed to solve the equations. The radial and tangential speed distribution, radial pressure distribution and theoretical flow rate are determined and analyzed. The models of equivalent radius and fluid torque of friction pairs are introduced. The experimental and theoretical results indicate that tangential speed distribution is mainly determined by the relative rotating speed between the friction plate and the separator disc. However, the radial speed distribution and pressure distribution are dominated by pressure difference at the lower rotating speed. The oil film fills the clearance and the film torque increases with increasing rotating speed. However, when the speed reaches a certain value, the centrifugal force will play an important role on the fluid distribution. The pressure is negative at the outer radius when inlet flow rate is less than theoretical flow, so the film starts to shrink which decreases the film torque sharply. The theoretical fluid torque has good agreement with the experimental data. This research proposes a new fluid torque mathematical model which may predict the film torque under the influence of temperature more accurately.</description><edition>English ed.</edition><identifier>ISSN: 1000-9345</identifier><identifier>EISSN: 2192-8258</identifier><identifier>DOI: 10.3901/CJME.2014.01.032</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Centrifugal force ; Clutches ; Computational fluid dynamics ; Continuity equation ; Cylindrical coordinates ; Disks ; Electrical Machines and Networks ; Electronics and Microelectronics ; Engineering ; Engineering Thermodynamics ; Film thickness ; Flow velocity ; Fluid flow ; Fluids ; Heat and Mass Transfer ; Inlet flow ; Instrumentation ; Iterative methods ; Machines ; Maintenance management ; Manufacturing ; Mathematical analysis ; Mathematical models ; Mechanical Engineering ; Navier-Stokes方程 ; Oil films ; Power Electronics ; Pressure distribution ; Processes ; Product design ; Rotation ; Separators ; Shear stress ; Stress concentration ; Theoretical and Applied Mechanics ; Torque ; Tracked vehicles ; 剪切应力 ; 实验数据 ; 数学模型 ; 水文 ; 流体温度 ; 粘性离合器 ; 验证</subject><ispartof>Chinese journal of mechanical engineering, 2014, Vol.27 (1), p.32-40</ispartof><rights>Chinese Mechanical Engineering Society and Springer-Verlag Berlin Heidelberg 2014</rights><rights>Chinese Journal of Mechanical Engineering is a copyright of Springer, (2014). All Rights Reserved.</rights><rights>Copyright © Wanfang Data Co. Ltd. All Rights Reserved.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c406t-5a79a44610c549f08961f05e7f4466d814a4b36bc42170cf340a7eeb5577ed903</citedby><cites>FETCH-LOGICAL-c406t-5a79a44610c549f08961f05e7f4466d814a4b36bc42170cf340a7eeb5577ed903</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Uhttp://image.cqvip.com/vip1000/qk/85891X/85891X.jpg</thumbnail><link.rule.ids>314,780,784,4024,27923,27924,27925</link.rule.ids></links><search><creatorcontrib>Cui, Hongwei</creatorcontrib><creatorcontrib>Yao, Shouwen</creatorcontrib><creatorcontrib>Yan, Qingdong</creatorcontrib><creatorcontrib>Feng, Shanshan</creatorcontrib><creatorcontrib>Liu, Qian</creatorcontrib><title>Mathematical Model and Experiment Validation of Fluid Torque by Shear Stress under Influence of Fluid Temperature in Hydro-viscous Clutch</title><title>Chinese journal of mechanical engineering</title><addtitle>Chin. J. Mech. Eng</addtitle><addtitle>Chinese Journal of Mechanical Engineering</addtitle><description>The current design of hydro-viscous clutch(HVC) in tracked vehicle fan transmission mainly focuses on high-speed and high power. However, the fluid torque under the influence of fluid temperature can not be predicted accurately by conventional mathematical model or experimental research. In order to validate the fluid torque of HVC by taking the viscosity-temperature characteristic of fluid into account, the test rig is designed. The outlet oil temperature is measured and fitted with different rotation speed, oil film thickness, oil flow rate, and inlet oil temperature. Meanwhile, the film torque can be obtained. Based on Navier-Stokes equations and the continuity equation, the mathematical model of fluid torque is proposed in cylindrical coordinate. Iterative method is employed to solve the equations. The radial and tangential speed distribution, radial pressure distribution and theoretical flow rate are determined and analyzed. The models of equivalent radius and fluid torque of friction pairs are introduced. The experimental and theoretical results indicate that tangential speed distribution is mainly determined by the relative rotating speed between the friction plate and the separator disc. However, the radial speed distribution and pressure distribution are dominated by pressure difference at the lower rotating speed. The oil film fills the clearance and the film torque increases with increasing rotating speed. However, when the speed reaches a certain value, the centrifugal force will play an important role on the fluid distribution. The pressure is negative at the outer radius when inlet flow rate is less than theoretical flow, so the film starts to shrink which decreases the film torque sharply. The theoretical fluid torque has good agreement with the experimental data. This research proposes a new fluid torque mathematical model which may predict the film torque under the influence of temperature more accurately.</description><subject>Centrifugal force</subject><subject>Clutches</subject><subject>Computational fluid dynamics</subject><subject>Continuity equation</subject><subject>Cylindrical coordinates</subject><subject>Disks</subject><subject>Electrical Machines and Networks</subject><subject>Electronics and Microelectronics</subject><subject>Engineering</subject><subject>Engineering Thermodynamics</subject><subject>Film thickness</subject><subject>Flow velocity</subject><subject>Fluid flow</subject><subject>Fluids</subject><subject>Heat and Mass Transfer</subject><subject>Inlet flow</subject><subject>Instrumentation</subject><subject>Iterative methods</subject><subject>Machines</subject><subject>Maintenance management</subject><subject>Manufacturing</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Mechanical Engineering</subject><subject>Navier-Stokes方程</subject><subject>Oil films</subject><subject>Power Electronics</subject><subject>Pressure distribution</subject><subject>Processes</subject><subject>Product design</subject><subject>Rotation</subject><subject>Separators</subject><subject>Shear stress</subject><subject>Stress concentration</subject><subject>Theoretical and Applied Mechanics</subject><subject>Torque</subject><subject>Tracked vehicles</subject><subject>剪切应力</subject><subject>实验数据</subject><subject>数学模型</subject><subject>水文</subject><subject>流体温度</subject><subject>粘性离合器</subject><subject>验证</subject><issn>1000-9345</issn><issn>2192-8258</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2014</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNp9kU1vEzEQhleISoTCnaMRFzhsGH_txxFFKS1q1ENbrpbXO5ts5NipvVuSn8C_xqtUBXHoyRrred95ZybLPlCY8xro18WP1XLOgIo50Dlw9iqbMVqzvGKyep3NKADkNRfyTfY2xm2qCkqrWfZ7pYcN7vTQG23JyrdoiXYtWR72GPoduoH81LZvE-Ad8R25sGPfkjsfHkYkzZHcblAHcjsEjJGMrsVArlxnR3QG_-Fxl_z0MAYkvSOXxzb4_LGPxo-RLOw4mM277KzTNuL7p_c8u79Y3i0u8-ub71eLb9e5EVAMudRlrYUoKBgp6g6quqAdSCy79Fm0FRVaNLxojGC0BNNxAbpEbKQsS2xr4OfZl5PvL-067dZq68fgUke1PazNoVE4bRHSwkRiP5_YffBp3jioXcqM1mqHKbmihUwoSDbZfvoPffZlTNa8LHktEwUnygQfY8BO7dOWdTgqCmq6o5ruqKYEKhXpjklCT5KYULfG8Nf4Bc3HpzYb79YPSfbcR1S8qngB_A9d5qql</recordid><startdate>2014</startdate><enddate>2014</enddate><creator>Cui, Hongwei</creator><creator>Yao, Shouwen</creator><creator>Yan, Qingdong</creator><creator>Feng, Shanshan</creator><creator>Liu, Qian</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><general>School of Mechanical Engineering, Beijing Institute of Technology, Beijing 100081, China%School of Mechanical Engineering, Beijing Institute of Technology, Beijing 100081, China</general><general>National Key Laboratory of Vehicular Transmission, Beijing Institute of Technology, Beijing 100081, China</general><scope>2RA</scope><scope>92L</scope><scope>CQIGP</scope><scope>W92</scope><scope>~WA</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>2B.</scope><scope>4A8</scope><scope>92I</scope><scope>93N</scope><scope>PSX</scope><scope>TCJ</scope></search><sort><creationdate>2014</creationdate><title>Mathematical Model and Experiment Validation of Fluid Torque by Shear Stress under Influence of Fluid Temperature in Hydro-viscous Clutch</title><author>Cui, Hongwei ; Yao, Shouwen ; Yan, Qingdong ; Feng, Shanshan ; Liu, Qian</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c406t-5a79a44610c549f08961f05e7f4466d814a4b36bc42170cf340a7eeb5577ed903</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2014</creationdate><topic>Centrifugal force</topic><topic>Clutches</topic><topic>Computational fluid dynamics</topic><topic>Continuity equation</topic><topic>Cylindrical coordinates</topic><topic>Disks</topic><topic>Electrical Machines and Networks</topic><topic>Electronics and Microelectronics</topic><topic>Engineering</topic><topic>Engineering Thermodynamics</topic><topic>Film thickness</topic><topic>Flow velocity</topic><topic>Fluid flow</topic><topic>Fluids</topic><topic>Heat and Mass Transfer</topic><topic>Inlet flow</topic><topic>Instrumentation</topic><topic>Iterative methods</topic><topic>Machines</topic><topic>Maintenance management</topic><topic>Manufacturing</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Mechanical Engineering</topic><topic>Navier-Stokes方程</topic><topic>Oil films</topic><topic>Power Electronics</topic><topic>Pressure distribution</topic><topic>Processes</topic><topic>Product design</topic><topic>Rotation</topic><topic>Separators</topic><topic>Shear stress</topic><topic>Stress concentration</topic><topic>Theoretical and Applied Mechanics</topic><topic>Torque</topic><topic>Tracked vehicles</topic><topic>剪切应力</topic><topic>实验数据</topic><topic>数学模型</topic><topic>水文</topic><topic>流体温度</topic><topic>粘性离合器</topic><topic>验证</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Cui, Hongwei</creatorcontrib><creatorcontrib>Yao, Shouwen</creatorcontrib><creatorcontrib>Yan, Qingdong</creatorcontrib><creatorcontrib>Feng, Shanshan</creatorcontrib><creatorcontrib>Liu, Qian</creatorcontrib><collection>中文科技期刊数据库</collection><collection>中文科技期刊数据库-CALIS站点</collection><collection>中文科技期刊数据库-7.0平台</collection><collection>中文科技期刊数据库-工程技术</collection><collection>中文科技期刊数据库- 镜像站点</collection><collection>CrossRef</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Access via ProQuest (Open Access)</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Wanfang Data Journals - Hong Kong</collection><collection>WANFANG Data Centre</collection><collection>Wanfang Data Journals</collection><collection>万方数据期刊 - 香港版</collection><collection>China Online Journals (COJ)</collection><collection>China Online Journals (COJ)</collection><jtitle>Chinese journal of mechanical engineering</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Cui, Hongwei</au><au>Yao, Shouwen</au><au>Yan, Qingdong</au><au>Feng, Shanshan</au><au>Liu, Qian</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Mathematical Model and Experiment Validation of Fluid Torque by Shear Stress under Influence of Fluid Temperature in Hydro-viscous Clutch</atitle><jtitle>Chinese journal of mechanical engineering</jtitle><stitle>Chin. J. Mech. Eng</stitle><addtitle>Chinese Journal of Mechanical Engineering</addtitle><date>2014</date><risdate>2014</risdate><volume>27</volume><issue>1</issue><spage>32</spage><epage>40</epage><pages>32-40</pages><issn>1000-9345</issn><eissn>2192-8258</eissn><abstract>The current design of hydro-viscous clutch(HVC) in tracked vehicle fan transmission mainly focuses on high-speed and high power. However, the fluid torque under the influence of fluid temperature can not be predicted accurately by conventional mathematical model or experimental research. In order to validate the fluid torque of HVC by taking the viscosity-temperature characteristic of fluid into account, the test rig is designed. The outlet oil temperature is measured and fitted with different rotation speed, oil film thickness, oil flow rate, and inlet oil temperature. Meanwhile, the film torque can be obtained. Based on Navier-Stokes equations and the continuity equation, the mathematical model of fluid torque is proposed in cylindrical coordinate. Iterative method is employed to solve the equations. The radial and tangential speed distribution, radial pressure distribution and theoretical flow rate are determined and analyzed. The models of equivalent radius and fluid torque of friction pairs are introduced. The experimental and theoretical results indicate that tangential speed distribution is mainly determined by the relative rotating speed between the friction plate and the separator disc. However, the radial speed distribution and pressure distribution are dominated by pressure difference at the lower rotating speed. The oil film fills the clearance and the film torque increases with increasing rotating speed. However, when the speed reaches a certain value, the centrifugal force will play an important role on the fluid distribution. The pressure is negative at the outer radius when inlet flow rate is less than theoretical flow, so the film starts to shrink which decreases the film torque sharply. The theoretical fluid torque has good agreement with the experimental data. This research proposes a new fluid torque mathematical model which may predict the film torque under the influence of temperature more accurately.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.3901/CJME.2014.01.032</doi><tpages>9</tpages><edition>English ed.</edition><oa>free_for_read</oa></addata></record> |
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subjects | Centrifugal force Clutches Computational fluid dynamics Continuity equation Cylindrical coordinates Disks Electrical Machines and Networks Electronics and Microelectronics Engineering Engineering Thermodynamics Film thickness Flow velocity Fluid flow Fluids Heat and Mass Transfer Inlet flow Instrumentation Iterative methods Machines Maintenance management Manufacturing Mathematical analysis Mathematical models Mechanical Engineering Navier-Stokes方程 Oil films Power Electronics Pressure distribution Processes Product design Rotation Separators Shear stress Stress concentration Theoretical and Applied Mechanics Torque Tracked vehicles 剪切应力 实验数据 数学模型 水文 流体温度 粘性离合器 验证 |
title | Mathematical Model and Experiment Validation of Fluid Torque by Shear Stress under Influence of Fluid Temperature in Hydro-viscous Clutch |
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