Results 261 to 270 of about 4,129,928 (338)

Homogenization of the transient Reynolds equation

Asymptotic Analysis, 2002
State‐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. A rigorous homogenization of the transient
Buscaglia, G., Ciuperca, I., Jai, M.
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Reynolds-Averaged Navier–Stokes Equations

2016
The constitutive equations used in the Reynolds-averaged Navier–Stokes (RANS) equations are referred to as turbulence models. Although a large number of studies have been performed on the development of turbulence models, there has not been a universal turbulence model that is applicable to all turbulent flows. However, we in general suggest the use of
Takeo Kajishima, Kunihiko Taira
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Generalized Reynolds equation for porous boundaries

Wear, 1980
Abstract 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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Reynolds Equation for Spherical Bearings

Journal of Tribology, 2002
Osborne 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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Symmetry classification and invariance of the Reynolds equation

2022
Summary: In this essay, extensions to the results of Lie symmetry classification of Reynolds equation are proposed. The infinitesimal technique is used to derive symmetry groups of the Reynolds equation. One dimensional optimal system is constructed for symmetry sub-algebras gained through Lie point symmetry.
Nadjafikhah, Mehdi, Yourdkhany, Maryam
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Workstation Computing of Discretized Reynolds Equations

Tribology Transactions, 2012
In this study, the solution methods suitable for use in a workstation to solve the discretized incompressible and compressible fluid Reynolds equations are examined. The workstation used for computing consists of dual six-core central processing units (CPUs) and a 256-core graphics processing unit (GPU) dedicated for computing.
Nenzi Wang, Chia-Wen Chan, Kuo-Chiang Cha   +2 more
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Historical Note on the Stefan–Reynolds Equations

Journal of Colloid and Interface Science, 2000
We comment on the theory on the dynamics of fluid films confined between parallel surfaces established by Stefan and Reynolds over a centry ago. From a historical perspective, the established theory (often referred to as the lubrication approximation) and the derived equations, as used in colloid science, are to be correctly attributed to both Stefan ...
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Generalized Reynolds Equation for Solid-Liquid Lubricated Bearings

Journal of Applied Mechanics, 1994
The continuum theory of mixture was employed to derive a generalized form of the Reynolds equation for the lubrication problems involving lubricants that contain solid particles. The derivation of the governing equations and the boundary conditions are presented. The governing equations are two coupled partial differential equations that must be solved
Dai, F., Khonsari, M. M.
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Evaluation of physics-informed neural networks (PINN) in the solution of the Reynolds equation

Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2023
D. Ramos, Barbara Cunha, G. Daniel
semanticscholar   +1 more source

Existence and uniqueness for nonlinear reynolds equations

International Journal of Engineering Science, 1986
The 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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