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Langmuir Slip Model for Air Bearing Simulation Using the Lattice Boltzmann Method | IEEE Journals & Magazine | IEEE Xplore

Langmuir Slip Model for Air Bearing Simulation Using the Lattice Boltzmann Method


Abstract:

The lattice Boltzmann method (LBM) is utilized to simulate the nanoscale flow physics of air bearings in the head-disk interface. In the high Knudsen number flow analysis...Show More

Abstract:

The lattice Boltzmann method (LBM) is utilized to simulate the nanoscale flow physics of air bearings in the head-disk interface. In the high Knudsen number flow analysis of air bearings, the slip boundary model is very important to guarantee the accuracy of solution. In this paper, the Langmuir slip model for the rarefied gas flow was incorporated and its feasibility and accuracy was examined in nanoscale flow simulations. It was shown that our LBM can solve the fluid flow of air bearing with high efficiency due to its complex geometry handling capability and high accuracy comparable to the Boltzmann transport equation in the slip flow regime. The LBM model developed in this paper could serve as a powerful tool for the design of advanced air-bearing systems
Published in: IEEE Transactions on Magnetics ( Volume: 43, Issue: 6, June 2007)
Page(s): 2244 - 2246
Date of Publication: 21 May 2007

ISSN Information:


I. Introduction

Rarefied gas flow inside the air bearing of the head-disk interface (HDI) is in the high Knudsen number (Kn) regime. The continuum hypothesis becomes invalid at high Kn and therefore other methodologies than conventional Navier–Stokes equations should be applied to predict the rarefied motion of gas flow. In this flow regime, accurate modeling of velocity slip on the wall is critical for the performance estimation of air bearings as the fly height of the head over the disk is much less than the mean free path of the ambient gas. Several models have been developed which incorporate the molecular rarefaction effect to describe the slip flow using Kn and surface accommodation coefficient [1]–[3]. To incorporate Kn dependence in the modified Reynolds equation (MRE), several modifications to the correction coefficients have been made. Among them, the model that Kang et al. [3] proposed is a new molecular gas lubrication equation which provides an accurate database for correction coefficients and is valid for arbitrary boundary conditions and Kn. The MRE is accurate but it is not adequate for the integrated HDI simulation which includes the air bearing and lubricant film. As the slider fly height becomes much lower for high areal density, the surface morphology of lubricant film is critical for the stability of the air bearing. Molecular dynamics for the lubricant layer can be incorporated with the LBM for the air bearing to investigate the system stability. The easiness of programming/parallel computing and the computational efficiency are other advantages of the LBM over the MRE.

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