Integration Method of Thermal Convection Characteristics Prediction for Unsteady Laminar Flows during Initial Braking Stage of Wet Brakes

doi:10.3901/JME.2020.24.198

Abstract

Abstract: A wet brake has a crucial influence on the safety of heavy-duty vehicles. A theoretical thermal analysis is conducted on the automotive transmission fluid (ATF) within a wet brake for initial braking stage. The energy equation of ATF is formulated using the integration method for unsteady laminar flows. An analytical model assuming the polynomial distribution pattern is developed to approximate the temperature rise due to the hydroviscous friction and relative motion between the separator disks and friction disks of the wet brake. The closed-form analytical solutions of three-dimensional (3D) temperature and heat fluxes of convective heat transfer are obtained,respectively,which can satisfy all the boundary conditions for both radial and axial directions. The theoretical expressions of the radial velocity and pressure of ATF are also proposed based on the simplified Navier-Stokes equation. Finally,the temperature rises and pressure predicted by the analytical models are validated by comparing with the previous experimental data. The analytical methods of 3D velocity,temperature and heat flux proposed might have the potentials to be extended to predict those of HVD (hydroviscous drive) devices such as hydroviscous clutches,dynamometers,and so on.

Key words: wet brake, hydroviscous drive, integration method, thermal analysis, heat flux, initial braking, laminar flow

CLC Number:

TH243
U461

ZHAO Bo. Integration Method of Thermal Convection Characteristics Prediction for Unsteady Laminar Flows during Initial Braking Stage of Wet Brakes[J]. Journal of Mechanical Engineering, 2020, 56(24): 198-207.

References

[1] 赵波. 交流传动电动轮自卸车结构与设计[M]. 北京:中国铁道出版社,2013. ZHAO Bo. Structures and design for off-highway motorized wheel dump trucks with AC electric drive system[M]. Beijing:China Railway Publishing House,2013.
[2] 赵波,陈东升. 液粘测功机的带排扭矩理论与试验研究[J]. 兵工学报,1997(2):22-28. ZHAO Bo,CHEN Dongsheng. The theoretical and experimental study on the drag torque of a hydroviscous dynamometer[J]. ACTA Armamentarii,1997(2):22-28.
[3] WANG Yanzhong,WEI Bin,Wet multi-disc friction components heat dissipation capability and optimal oil supply under continuous braking condition[J]. Industrial Lubrication and Tribology,2014,66(6):653-661.
[4] ADAMOVICZ A,GRZES P. Influence of convective cooling on a disc brake temperature distribution during repetitive braking[J]. App. Therm. Eng.,2011,31:2177-2185.
[5] MICHAEL R A. Key elements of wet brake and clutch design[C/CD]//SAE Technical Paper Series No. 921660,International Off-highway & Powerplant Congress & Exposition,Milwaukee,Wisconsin,Sep 14-17,1992.
[6] QING Datong,SUN Dongye. Research on design method of a multiple disc wet brake in lubricated environment[J]. Chin. J. Mech. Eng.,2003(4):391-395.
[7] HUANG Jiahai,WEI Jianhua,QIU Minxiu. Laminar flow in the gap between two rotating parallel frictional plates in hydro-viscous drive[J]. Chin. J. Mech. Eng.,2012,25(1):144-152.
[8] XIE Fangwei,CUI Jianzhong,SHENG Gang,et al. Thermal behavior of multidisk friction pairs in hydroviscous drive considering inertia item[J]. ASME J. Tribol.,2014,136(4):041707.
[9] SINGH S K,ABBASSI H,TAMAMIDIS P. 3D investigation into the thermal behavior of the wet multi-disk axle brake of an off-highway machinery[J]. App. Therm. Eng.,2018,136:576-588.
[10] JEN T,NEMECEK D J. Thermal analysis of a wet-disk clutch subjected to a constant energy engagement[J]. Int. J. Heat Mass Transf.,2008,51:1757-1769.
[11] ABDULLAH O I,SCHLATTMANN J. An investigation into the thermal behavior of the grooved dry friction clutch[J]. ASME J. Tribol.,2014,136(3):034504.
[12] JANG J Y,KHONSARI M M. On the formation of hot spots in wet clutch systems[J]. ASME J. Tribol.,2002,124(2):336-345.
[13] SERGIENKO V,TSELUEV M,KOLESNIKOV V I,et al. Prediction of thermal conditions for multidisc oil-cooled brake for a mining truck[R]. SAE Technical Paper Series,2010-01-1713.
[14] BELHOCINE A,OMAR W Z W. Computational fluid dynamics (CFD) analysis and numerical aerodynamic investigations of automotive disc brake rotor[J]. Australian Journal of Mechanical Engineering,2018,16(3):188-205.
[15] GRZES P. Determination of the maximum temperature at single braking from the FE solution of heat dynamics of friction and wear system of equations[J]. Numerical Heat Transfer,Part A:Applications,2017,71(7):737-753.
[16] YEVTUSHENKO A A,GRZES P. Mutual influence of the sliding velocity and temperature in frictional heating of the thermally nonlinear disc brake[J]. Int. J. Therm. Sci.,2016,102:254-262.
[17] 赵波,王梓羽,惠源. 考虑液体黏性传动的湿盘制动器ATF温度场的解析模型[J]. 机械,2019,46(12):1-11. ZHAO Bo,WANG Ziyu,HUI Yuan. 2D analytical solutions of thermal behavior for automotive transmission fluid considering hydroviscous drive in wet brakes[J]. Machinery,2019,46(12):1-11.
[18] APHALE C R,SCHULTZ W W,CECCIO S L. The Influence of grooves on the fully wetted and aerated flow between open clutch plates[J]. ASME J. Tribol.,2010,132(1):011104.
[19] IQBAL S,AL-BENDER F,BERT P,et al. Model for predicting drag torque in open multi-disks wet clutches[J]. ASME J. Fluids Eng.,2014,136(2):021103.
[20] NEUPERT T,BENKE E,BARTEL D. Parameter study on the influence of a radial groove design on the drag torque of wet clutch discs in comparison with analytical models[J]. Tribol. Int.,2018,119:809-821.
[21] JANG J Y,KHONSARI M M. Thermal characteristics of a wet clutch[J]. ASME J. Tribol.,1999,121(3):610-617.
[22] SOO S L. Laminar flow over an enclosed rotating disk[J]. Trans. ASME,1958,80:287-296.
[23] ELLWOOD C M,KORCHINSKY W J. The heating,by viscous dissipation,of liquids flowing across an enclosed rotating disc[J]. Int. J. Heat Mass Transf.,2000,43:1035-1050.
[24] YUAN Shihua,PENG Zengxiong,JING Chongbo. Experimental research and mathematical model of drag torque in single-plate wet clutch[J]. Chin. J. Mech. Eng.,2011,24(1):91-97.