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Mathematical Problems in Engineering
Volume 2017, Article ID 4091342, 6 pages
Research Article

Optimization of Roller Velocity for Quenching Machine Based on Heat Transfer Mathematical Model

School of Environment and Municipal Engineering, Qingdao University of Technology, Qingdao 266033, China

Correspondence should be addressed to Jingkui Zhang; moc.361@uen_kz

Received 28 May 2017; Accepted 22 June 2017; Published 6 August 2017

Academic Editor: Marcello Vasta

Copyright © 2017 Yunfeng He et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


During quenching process of steel plate, control parameters are important to product quality. In this work, heat transfer mathematical model has been developed for roller-type quenching machine to predict the temperature field of plate at first, and then an optimization schedule considering quenching technology and equipment limitations is developed firstly based on the heat transfer mathematical model with considering the shortest quenching time. A numerical simulation is performed during optimization process to investigate the effects of roller velocity on the temperature of representative plate. Based on the optimization method, study is also performed for different thickness of plate to obtain the corresponding roller velocity. The results show that the optimized roller velocity can be achieved for the roller-type continuous quenching machine based on the heat transfer mathematical model. With the increasing of plate’s thickness, the optimized roller velocity decreases exponentially.