Location of Repository

Homogenization of the Equations Governing the Flow Between a Slider and a Rough Spinning Disk

By D. Cargill, J. Fehribach, T-S Lin, Colin Please, C. Raymond, D. Schwendeman, T. Skorczewski, B. Tilley, T. Witelski, J. Wrobel, J. Wang and S. Zhang


We have analyzed the behavior of the flow between a slider bearing and a hard-drive magnetic disk under two types of surface roughness. For both cases the length scale of the roughness along the surface is small as compared to the scale of the slider, so that a homogenization of the governing equations was performed.\ud \ud For the case of longitudinal roughness, we derived a one-dimensional lubrication-type equation for the leading behavior of the pressure in the direction parallel to the velocity of the disk. The coefficients of the equation are determined by solving linear elliptic equations on a domain bounded by the gap height in the vertical direction and the period of the roughness in the span-wise direction.\ud \ud For the case of transverse roughness the unsteady lubrication equations were reduced, following a multiple scale homogenization analysis, to a steady equation for the leading behavior of the pressure in the gap. The reduced equation involves certain averages of the gap height, but retains the same form of the usual steady, compressible lubrication equations.\ud \ud Numerical calculations were performed for both cases, and the solution for the case of transverse roughness was shown be in excellent agreement with a corresponding numerical calculation of the original unsteady equations

Topics: Materials, Information and communication technology
Year: 2009
OAI identifier: oai:generic.eprints.org:270/core70

Suggested articles



  1. (2002). A comparison of homogenization and averaging techniques for the treatment of roughness in slip-flow-modified Reynolds equation,
  2. (2009). A numerical simulation method to evaluate the static and dynamic characteristics of flying head sliders on patterned disk surfaces, doi
  3. (1998). Dynamics of air bearing sliders, doi
  4. (1995). Introduction to Perturbation Methods, doi
  5. (1991). Perturbation Methods, doi

To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.