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Research Paper | Mathematics | India | Volume 4 Issue 2, February 2015

Inclined Slider Bearing Under the Effects of Second Order Rotatory Theory of Hydrodynamic Lubrication

Dr. Mohammad Miyan

Abstract: The second order rotatory theory of hydrodynamic lubrication was founded on the expression obtained by retaining the terms containing first and second powers of rotation number in the extended generalized Reynolds equation. In the present paper, there are some new excellent fundamental solutions with the help of geometrical figures, expressions, calculated tables and graphs for the plane and exponentially inclined slider bearings in the second order rotatory theory of hydrodynamic lubrication. The analysis of equations for pressure and load capacity, tables and graphs reveal that pressure and load capacity are not independent of viscosity and increase slightly with viscosity for the constant value of M in the case of fluid with small rotation. Also the pressure and load capacity both increase with increasing values of rotation number M. In the absence of rotation, the extended generalized Reynolds equation gives the classical solutions of the classical theory of hydrodynamic lubrication given by Reynolds, previously. The relevant tables and graphs confirm these important investigations in the present paper.

Keywords: Continuity, Density, Film thickness, Reynolds equation, Rotation number, Taylors number, Viscosity

Edition: Volume 4 Issue 2, February 2015,

Pages: 2089 - 2093