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research-article

A Thermal Elasto-Hydrodynamic Lubrication Model for Crowned Rollers and its Application on Apex Seal-Housing Interfaces

[+] Author and Article Information
Zhong Liu

Department of Mechanical Engineering, Northwestern University, 2145 Sheridan Road, Evanston, IL, USA
zhongliu2018@u.northwestern.edu

David Pickens III

Department of Mechanical Engineering, Northwestern University, 2145 Sheridan Road, Evanston, IL, USA
davidpickens2014@u.northwestern.edu

Tao He

Department of Mechanical Engineering, Northwestern University, 2145 Sheridan Road, Evanston, IL, USA
393527868@qq.com

Xin Zhang

Department of Mechanical Engineering, Northwestern University, 2145 Sheridan Road, Evanston, IL, USA
zhangxin4574@163.com

Yuchuan Liu

GM Powertrain, Pontiac, MI, Department of Mechanical Engineering, Northwestern University, 2145 Sheridan Road, Evanston, IL, USA
yuchuan.liu@gm.com

Takayuki Nishino

Powertrain Division, Mazda Motor Corporation, 3-1 Shinchi, Fuchu-cho, Aki-gun, Hiroshima 730-8670, Japan
nishino.t@ae.auone-net.jp

Qian Wang

Department of Mechanical Engineering, Northwestern University, 2145 Sheridan Road, Evanston, IL, USA
qwang@northwestern.edu

1Corresponding author.

ASME doi:10.1115/1.4042503 History: Received September 30, 2018; Revised December 26, 2018

Abstract

This paper presents a thermal elasto-hydrodynamic lubrication (EHL) model for analyzing crowned roller lubrication performances under the influence of frictional heating. In this thermal EHL model, the Reynolds equation is solved to obtain the film thickness and pressure results while the energy equation and temperature integration equation are evaluated for the temperature rise in the lubricant and at the surfaces. The Discrete convolution fast Fourier transform (DC-FFT) method is utilized to calculate the influence coefficients for both the elastic deformation and the temperature integration equations. The influences of slide-to-roll ratio (SRR), load, crowning radius, and roller length on the roller lubrication and temperature rise are investigated. The results indicate that the thermal effect becomes significant for the cases with high slide-to-roll ratios or heavy loads. The proposed thermal EHL model is used to study the thermal-tribology behavior of an apex seal-housing interface in a rotary engine, and to assist the design of the apex seal crown geometry. A simplified crown design equation is obtained from the analysis results, validated through comparison with the optimal results calculated using the current crowned-roller TEHL model.

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