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A study of pressure distribution for a slider bearing lubricated with a second‐grade fluid
Authors:R. Ellahi  A. Zeeshan
Affiliation:Department of Mathematics, Faculty of Basic and Applied Sciences, Islamabad, Pakistan
Abstract:An infinitely wide lubricated bearing consisting of connected surfaces of second‐grade fluid is analyzed in the present study. The velocity and pressure fields are obtained by a homotopy analysis method (HAM). Two cases, namely, inclined and parabolic slider bearings are considered. The viscoelastic effects play an important role even under the assumption of the order of the magnitude of the variable. However, inertial term does not contribute. Graphical results are interpreted. Comparison between the numerical values for the inclined and parabolic slider bearing is also presented. In addition to that for a meaningful solution, the graphs of convergence parameter, residual error, and numerical comparison are also presented. © 2010 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 27: 1231–1241, 2011
Keywords:convergence and numerical comparison  homotopy analysis method  lubricant  nonlinear problem  second grade  slider bearings
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