Abstract
This paper focuses on the development of a computational method to be used as a tool for air bearing simulation and design in modern hard disk drive. A data density of 100 Gb/in.2 has already been achieved in today’s production. The hard disk drive industry’s next goal is to increase the data density to 1 Tb/in.2 . New features in air bearing designs include shaped rails, multiple etching depths and negative pressure pockets. Thus, mesh generation is a difficult task in the air bearing simulation. This, in turn, demands the development of an accurate and easy-to-use computational method to solve Reynolds equations based on various flow models. Least square finite difference scheme, one of mesh-less methods, is presented to solve the slider air bearing problems of hard disk drives. For each specified attitude, the air bearing pressure is obtained by solving the Reynolds equation using the mesh-free method. The discretized nonlinear systems of equations are solved by successive over-relaxation (SOR) implementation, and the results of the numerical solutions are compared with other numerical and experimental data.
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References
Burgdorfer A (1959) The influence of the molecular mean free path on the performance of hydrodynamic gas lubricated bearings. J Basic Eng 81:94–100
Ding H, Shu C, Yeo KS, Xu D (2004) Development of least-square-based two-dimensional finite-difference schemes and their application to simulate natural convention in a cavity. Comput Fluids (in press)
Ellis Cha, Bogy DB (1995) A numerical scheme for static and dynamic simulation of subambient pressure shaped rail sliders. Trans ASME 117:36–46
Fukui S, Kanko R (1990) A database for interpolation of poiseuille flow rates for high Knudsen number lubrication problems. ASME J Tribol 112:78–83
Gross WA (1980) Fluid film lubrication. Wiley, New York
Hsia Y-T, Domoto GA (1983) An experimental investigation of molecular rarefaction effects in gas lubricated bearings at ultra-low clearances. ASME J Tribol 105:120–130
Kogure K, Fukui S, Mitsuya Y, Kaneko R (1983) Design of negative pressure slider for magnetic recording disks. ASME J Lubricat Technol 105:496–502
Lin Wu, Bogy DB (2001) Numerical simulation of the slider air bearing problem of hard disk drives by two multidimensional upwind residual distribution schemes over unstructured triangular meshes. Phys Fluids 172:640–657
Masahiro K, Ohtsubo Y, Kawashima N, Marumo H (1988) Finite element solution for the rarefied gas lubrication problem. ASME J Tribol 110:335–341
Mitsuya Y (1993) Modified Reynolds equation for ultra-thin film gas lubrication using 1.5-order slip-flow model and considering surface accommodation coefficient. ASME J Tribol 115:289–294
Nguyen SH (1991) p-Version finite element analysis of gas bearing of finite width. ASME J Tribol 113:417–420
Nobuyoshi K (1987) Numerical analysis of Reynolds equation for gas lubrication in a high Λ region. JSME Int J 30–263:836–842
Weidong H, Bogy DB(1997) Three-dimensional direct simulation monte carlo method for slider air bearings. Phys Fluids 9(6):1764–1769
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Li, X., Du, H., Liu, B. et al. Numerical simulation of slider air bearings based on a mesh-free method for HDD applications. Microsyst Technol 11, 797–804 (2005). https://doi.org/10.1007/s00542-005-0537-1
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DOI: https://doi.org/10.1007/s00542-005-0537-1