Fluid film lubrication in the presence of cavitation: a mass-conserving two-dimensional formulation for compressible, piezoviscous and non-Newtonian fluids
Fluid film lubrication in the presence of cavitation: a mass-conserving two-dimensional formulation for compressible, piezoviscous and non-Newtonian fluids
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DOI：
10.1016/j.triboint.2013.05.018
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发表时间：
2013-11-01
影响因子：
6.2
通讯作者：
Baldini, Andrea
中科院分区：
文献类型：
--
作者：
Bertocchi, Luca;Dini, Daniele;Baldini, Andrea
最近，一些作者提出了雷诺方程的质量守恒公式来处理润滑接触中的气穴现象[1]。该制剂，基于线性互补问题（LCP）的数学推导，克服了以前与使用这种互补制剂的解决方案的空化问题，其中发生的液体膜的改造相关联的缺点。本文将文[1]中已成功地应用于一维不可压缩流体中存在空穴时的织构轴承和挤压问题的方法，推广到包括流体可压缩性、压粘性和非牛顿流体行为的影响，并应用于二维问题的分析。空化区域和接触压力分布的演变进行了研究，为一些不同的配置，可被视为相关benchmarries.In特别是，所提出的计划获得的一些结果进行了严格的分析，并与使用替代配方，包括完整的CFD计算得到的预测进行了比较。所提出的算法的稳定性和它的灵活性方面的实施不同的模型的可压缩性，压粘和非牛顿行为的突出。(C)2013爱思唯尔有限公司保留所有权利。
A mass-conserving formulation of the Reynolds equation has been recently proposed by some of the authors to deal with cavitation in lubricated contacts [1]. This formulation, based on the mathematical derivation of a linear complementarity problem (LCP), overcomes the drawbacks previously associated with the use of such complementarity formulations for the solution of cavitation problems in which reformation of the liquid film occurs. In the present paper, the methodology favoured in [1], already successfully applied to solve textured bearing and squeeze problems in the presence of cavitation in a one dimensional domain for incompressible fluids, has been extended to include the effects of fluid compressibility, piezoviscosity and the non-Newtonian fluid behaviour and it has been also applied to the analysis of two dimensional problems. The evolution of the cavitated region and the contact pressure distribution are studied for a number of different configurations which can be considered as relevant benchmarks.In particular, some of the results obtained with the proposed scheme are critically analysed and compared with the predictions obtained using alternative formulations, including full CFD calculations. The stability of the proposed algorithm and its flexibility in terms of implementation of different models for compressibility, piezoviscosity and non-Newtonian behaviour are highlighted. (C) 2013 Elsevier Ltd. All rights reserved.