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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Veröffentlicht in:Chinese journal of mechanical engineering 2014, Vol.27 (1), p.32-40
Hauptverfasser: Cui, Hongwei, Yao, Shouwen, Yan, Qingdong, Feng, Shanshan, Liu, Qian
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Yan, Qingdong
Feng, Shanshan
Liu, Qian
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. 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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 ; 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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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source EZB-FREE-00999 freely available EZB journals; Alma/SFX Local Collection
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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