Projects per year
Abstract
For ultrathin gas lubrication, the surfacetovolume ratio increases dramatically when flow geometry is scaled down to the micro/nanometer scale, where surface roughness, albeit small, may play an important role in gas slider bearings. However, the effect of surface roughness on the pressure and load capacity (force) in gas slider bearings has been overlooked. In this paper, on the basis of the generalized Reynolds equation, we investigate the behavior of a gas slider bearing, where the roughness of the slider surface is characterized by the WeierstrassMandelbrot fractal function, and the mass flow rates of Couette and Poiseuille flows are obtained by deterministic solutions to the linearized BhatnagerGrossKrook equation. Our results show that the surface roughness reduces the local mass flow rate as compared to the smooth channel, but the amount of reduction varies for Couette and Poiseuille flows of different Knudsen numbers. As a consequence, the pressure rise and load capacity in the rough bearing become larger than the smooth bearing in the slip and early transition flow regimes, e.g. a 6% roughness could lead to an increase of 20% more bearing load capacity. However, this situation is reversed in the freemolecular flow regime, as the ratio of mass flow rate between Couette and Poiseuille flows is smaller than that in the smooth channel. Interestingly, between the two extremes, we have found a novel "rarefaction cloaking" effect, where the load capacity of a rough bearing equals to that of a smooth bearing at a certain range of Knudsen numbers, as if the roughness does not exist.
Original language  English 

Article number  102003 
Number of pages  11 
Journal  Physics of Fluids 
Volume  29 
Issue number  10 
DOIs  
Publication status  Published  31 Oct 2017 
Keywords
 gas slider bearings
 surface roughness
 Reynolds equation
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Projects
 1 Finished

PoreScale Study of Gas Flows in Ultratight Porous Media
Zhang, Y. & Scanlon, T.
EPSRC (Engineering and Physical Sciences Research Council)
1/09/15 → 30/09/19
Project: Research