Results 241 to 250 of about 1,736,976 (282)
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World Tribology Congress III, Volume 1, 2005
Exact, closed form one-dimensional Reynolds equations are presented for the Ostwald-DeWaele model, Ellis model, Spriggs model and the double-Newtonian Rabinowitsch and Ferry models. From numerical solutions for flow rate, an approximate Reynolds-Carreau equation is obtained.
S Bair, M. M. Khonsari
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Exact, closed form one-dimensional Reynolds equations are presented for the Ostwald-DeWaele model, Ellis model, Spriggs model and the double-Newtonian Rabinowitsch and Ferry models. From numerical solutions for flow rate, an approximate Reynolds-Carreau equation is obtained.
S Bair, M. M. Khonsari
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On The Asymptotic Solution of The Reynolds Equation
SIAM Journal on Applied Mathematics, 1978For, flow at high bearing numbers $\Lambda $, and under suitable physical hypotheses, the problem of determining the pressure distribution in a thin gas film becomes a singular perturbation problem as $\Lambda \to \infty $. We show that, under certain conditions, this problem has a unique solution in a given class.
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Existence of solutions to the Reynolds' equation of elastohydrodynamic lubrication
International Journal of Engineering Science, 1985The authors have proved some theorems establishing the existence of solutions to a highly nonlinear variational inequality arising in the study of the flow of an incompressible Newtonian lubricant between elastically - deforming bearings. The problem is formally equivalent to Reynolds equation in elastohydrodynamic lubrication theory.
Oden, J. T., Wu, S. R.
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Homogenization of the transient Reynolds equation
Asymptotic Analysis, 2002State‐of‐the‐art magnetic storage devices have head‐to‐disk distances of about 300 Angstrom, for which compressibility, slip‐flow and roughness effects are significant. Since the head and the disk are in relative motion, the air‐gap thickness when both surfaces are rough varies rapidly in both space and time.
Buscaglia, G., Ciuperca, I., Jai, M.
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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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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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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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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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Solvability of the Reynolds Equation of Gas Lubrication
Journal of Mathematical Sciences, 2001The first boundary-value problem for the Reynolds equation of the theory of gas lubrication with smooth data is studied. The existence and uniqueness of a solution are established. Bibliography: 7 titles.
B. S. Grigor'ev +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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