A Comparison of Homogenization and Averaging Techniques for the Treatment of Roughness in Slip-Flow-Modified Reynolds Equation
A Comparison of Homogenization and Averaging Techniques for the Treatment of Roughness in Slip-Flow-Modified Reynolds Equation
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滑移流修正雷诺方程中粗糙度处理的均匀化与平均技术比较
DOI：
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
B. Bou
中科院分区：
文献类型：
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作者：
M. Jai;B. Bou
本文研究了一种由刚性旋转磁盘上的飞头组成的磁存储装置的仿真。目前，由于需要提高转移率，地面与地面之间的距离（气隙）非常小。在这种情况下，必须考虑粗糙度效应。一种流行的方法是取Mitsuya等人（1989）的膜厚平均值，与实验数据相比，报告的结果很好。为了克服一些在非常小的气隙中变得明显的局限性，特别是当粗糙度是二维的时候，Jai在1995年引入了一种基于严格均匀化理论的新技术。Buscaglia和Jai（2000）的最新进展大大降低了基于均质化方法的计算复杂度，使其适合实际应用。本文提出了一种基于强度和严格数学模型的新颖方法，以避免经典方法中经常遇到的数值问题。基于均质化方法的验证在某种意义上是对膜平均技术的推广，适用于后者的某些参数（如玻尔兹曼校正因子）没有明确定义的配置。
This article is concerned with the simulation of a magnetic storage device consisting of a flying head above a rigid rotating disk. The need to improve the transfer rate has led, at present, to very small surface-to-surface distances (air gaps). In this situation it is compulsory to take into account roughness effects. A popular method consists in averaging film-thickness from Mitsuya et al. (1989), with good reported results compared with experimental data. To overcome some limitations that become apparent at very small air gaps, notably when the roughness is two-dimensional, Jai in 1995 introduced a new technique based on a rigorous homogenization theory. Recent developments from Buscaglia and Jai (2000) have greatly reduced the computational complexity of the homogenization-based method, rendering it suitable for practical applications. We propose in this paper an original approach based on strength and rigorous mathematical model to avoid numerical problems which are usually encountered in classical approaches. The validation of the homogenization-based method is in some sense, a generalization of the film-averaging technique suitable for configurations in which some parameters of the latter (such as the Boltzmann correction factor) are not unambiguously defined.