Results 131 to 140 of about 1,150 (171)

Initial-Boundary Value Problem for the Reynolds Lubrication Equation

Journal of Mathematical Sciences, 2004
Summary: The nonstationary Reynolds equation of the theory of gas lubrication is considered. The existence and uniqueness of a solution to the initial-boundary value problem for this equation are established in the case of sufficiently smooth data. Estimates for the solution are obtained for large bearing numbers.
Lupulyak, S. V., Shinder, Yu. K.
exaly   +3 more sources

Lubrication with emulsion: first report, the extended Reynolds equation

Wear, 1997
A simplified model based on the continuum theory of mixtures is proposed to derive the extended Reynolds equation for lubrication with emulsion. This model has showed that there is a velocity difference between two phases of emulsion. The existence of the velocity difference is the reason why the oil concentration varies in lubrication film. Using this
Shengming Yan, Shigeaki Kuroda
exaly   +2 more sources

A modified nonlinear Reynolds equation for thin viscous flows in lubrication

Asymptotic Analysis, 2007
We derive a nonlinear second-order differential equation for the pressure approximation in hydrodynamic lubrication. This equation, in contrast to the classical Reynolds equation, takes into account both the inertial and the curvature effects and its solution corresponds to the first two terms in the asymptotic pressure expansion. The
Juha Videman, Sergei Nazarov
exaly   +3 more sources

A novel Reynolds equation of non-Newtonian fluid for lubrication simulation

Tribology International, 2016
Abstract The non-Newtonian phenomenon is significant in hydrodynamic lubrication of some special lubricants, or elastohydrodynamic lubrication (EHL). However, the conventional methods to solve the non-Newtonian lubrication problem are either too complicated or inaccurate.
Yanfei Fang, Qianqian Yang
exaly   +2 more sources

The finite volume solution of the Reynolds equation of lubrication with film discontinuities

International Journal of Mechanical Sciences, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mihai Arghir
exaly   +3 more sources

A new modified Reynolds equation for ultrathin film gas lubrication

IEEE Transactions on Magnetics, 1996
A new modified Reynolds equation for solving the ultrathin film gas lubrication is proposed to overcome the complicated and time-consuming difficulties of solving the linearized Boltzmann equation. The model equation is based on modified high-order slip-flow velocity distribution with three adjustable coefficients, which are corrected according to the ...
Kun-Yung Chen, Wang-Long Li, Cheng-I Weng   +2 more
exaly   +2 more sources

Existence and uniqueness of solutions of the parabolic nonlinear compressible reynolds lubrication equation

Nonlinear Analysis: Theory, Methods & Applications, 2001
The paper deals with existence and uniqueness for an initial-boundary value problem for specific semilinear parabolic equations related to the study of ultra thin gas films.
exaly   +2 more sources

A Generalized Reynolds Equation for Non-Newtonian Thermal Elastohydrodynamic Lubrication

Journal of Tribology, 1990
A new generalized Reynolds equation, which can incorporate most of the rheological laws found in the literature, is derived in this paper. A number of numerical solutions of the line contact thermal elastohydrodynamic lubrication problem has been obtained by using five rheological laws. The results show that, the influence of the non-Newtonian behavior
Shizhu Wen, Peiran Yang
exaly   +2 more sources

Reynolds equation and non-Newtonian hydrodynamic lubrication

2023
Ping Huang, Qianqian Yang
exaly   +2 more sources

Existence of solutions to the Reynolds' equation of elastohydrodynamic lubrication

International Journal of Engineering Science, 1985
The 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.
openaire   +1 more source