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Existence and uniqueness for nonlinear reynolds equations
International Journal of Engineering Science, 1986The pressure distribution in a gas-lubricated bearing is given by the nonlinear Reynolds equation with the boundary value problem \(\nabla \cdot (H^ 3P\nabla P)=\Lambda (HP)_ x\) in \(\Omega\), \(P=G\) on \(\partial \Omega\). Various results of existence and uniqueness for this equation are presented.
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How the Reynolds equation is related to the Stokes equations
Applied Mathematics & Optimization, 1983Let the Stokes equation being obeyed in a two-dimensional layer bounded by a plane \(y=0 (\Gamma_ 1)\), \(y=\epsilon h(x) (\Gamma_ 3)\) and straight lines \(\Gamma_{2,4}\), \(x=\pm L\). As usually in the boundary layer problem we demand \(\Phi_ y=const\).
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On The Reynolds Equation For Linearized Models Of The Boltzmann Operator
Transport Theory and Statistical Physics, 2007Rarefied gas flows in ultra‐thin film slider bearings are studied in a wide range of Knudsen numbers. The generalized Reynolds equation, first derived by Fukui and Kaneko (1987, 1988, 1990) on the basis of the linearized Bhatnagar‐Gross‐Krook (BGK) Boltzmann equation (Bhatnagar et al. 1954), has been extended by considering a more refined kinetic model
CERCIGNANI, CARLO +2 more
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Numerical solutions of Burgers’ equation with a large Reynolds number
Reliable Computing, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Masaaki Sugihara, Seiji Fujino
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Reynolds Equation for Spherical Bearings
Journal of Tribology, 2002Osborne Reynolds’ classical paper on the theory of lubrication Reynolds (1886) produced the generalized Reynolds equation. For spherical bearing applications, the generalized Reynolds equation is transformed in order to obtain useful results when the hemispherical shell is not in a horizontal position. A new film thickness expression is also presented.
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Generalized Reynolds equation for porous boundaries
Wear, 1980Abstract A generalized form of Reynolds equation has been obtained which permits the variation of relevant quantities across as well as along the lubricant film with porous boundaries. The equation has been derived with a minimum of restrictive assumptions and in particular cases it reduces to the various forms which other workers have developed.
B.S. Bhatt, R.L. Verma
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Development of a texture averaged Reynolds equation
Tribology International, 2010The application of textured bearing surfaces results in a more complex lubricant flow pattern compared to smooth bearing surfaces. In order to capture the more complex flow pattern and possible inertia effects in the vicinity of the surface pockets, the NavierStokes equations should be used to model the flow between textured surfaces instead of the ...
Kraker, A. de +2 more
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Homogenization of Reynolds Equation by Two-Scale Convergence
Chinese Annals of Mathematics, Series B, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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