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Influence of convective acceleration in the stokes equation on the pressure in a fluid
Authors:E P Arkhangel'skii
Abstract:High rates of slip at points of friction, and also the use of water as a lubricant lead one to consider the problem of the influence of inertial forces on the development of the load capacity of a film of lubricant. A number of authors 1–6] have taken into account the convective terms in the Navier-Stokes equation in determining the pressure in a fluid film of lubricant in a bearing. An increase in the load capacity of the lubricant film by 20% at Re = 5000 was noted in 6]. In the present paper, we show that the convective inertia terms in the Navier-Stokes equation are equivalent to the square of the pressure, the tangential stresses, and the vorticity. The derived equation is used to determine in the first approximation the contribution of the inertial forces to the load capacity of the lubricant film of a high-speed bearing.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 148–152, September–October, 1979.I thank A. K. D'yachkov for supervising the work, M. V. Korovchinskii for helpful comments, and also E. I. Poddubnaya for her computer calculations.
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