...Qiang He; Fengming Hu; Weifeng Huang; Yang Hu; Guohui Cong; Yixun Zhang In hydrodynamic lubrication problems, the presence of step structures on the surface can cause discontinuities in the film thickness. This article proposes two models for solving the two-dimensional Reynolds equation with film...

... fluid, steady flow, and incompressible, and the fluid does not slide on the contact surface, the two-dimensional Reynolds equation for finite-length bearings can be expressed as follows [ 27 ]: (1) ∂ ∂ x ( h 3 ∂ p ∂ x ) + ∂ ∂ y ( h 3 ∂ p...

...Ke He; Shi Chen; Zhinan Zhang Due to the repeated iteration, the numerical method represented by the finite-difference method has the disadvantages of low computational efficiency and long time-consuming in solving the Reynolds equation. This paper proposed a new sparse matrix-based method to solve...

... , New York . [46] Dowson , D. , 1962 , “ A Generalized Reynolds Equation for Fluid-Film Lubrication ,” Int. J. Mech. Sci. , 4 ( 2 ), pp. 159 – 170 . 10.1016/S0020-7403(62)80038-1 [47] Morsi , S. A. , 1972 , “ Passively and Actively Controlled Externally Pressurized Oil-Film...

... for publication in the J ournal of T ribology . 03 09 2019 21 04 2020 22 04 2020 18 05 2020 dynamic coefficients fluid film boundary migration Reynolds equation modified boundary condition journal bearing hydrodynamic lubrication Calculation of the stiffness...

... Moore. 12 11 2013 04 07 2014 12 12 2014 A new hydrostatic spherical hinge is developed in this paper to provide a large load capacity. The static and dynamic Reynolds equations in spherical coordinate system for incompressible Newtonian fluid were established using...

... that the MMRB is better than the FDM for nonrectangular geometries with coarser meshes. For rectangular domains without discontinuities, the FDM is still the best choice for solving the problem. finite difference method meshless method Reynolds equation The numerical simulation of lubricated...

... Reynolds number lubrication. The incompressible continuity equation and Navier-Stokes equations, including inertia terms, are simplified using an averaged velocity approach to obtain an extended form of short bearing Reynolds equation which applies to both laminar and turbulent flows. A full kinematic...

...Nenzi Wang; Kuo-Chiang Cha; Hua-Chih Huang When a discretized Reynolds equation is to be solved iteratively at least three subjects have to be determined first. These are the iterative solution method, the size of gridwork for the numerical model, and the stopping criterion for the iterative...

...Shaoxian Bai; Xudong Peng; Yefeng Li; Songen Sheng In solving Reynolds equation with the conventional finite difference method, keeping the flow continuity has ofen been ignored, which will lead to an analysis error in the pressure distribution and leakage rate, especially for discontinuous...

... = ( y 1 , y 2 ) local coordinates p ɛ = pressure solution p 0 = homogenized pressure solution p pc = homogenized pressure solution λ = coefficient appearing in the Reynolds equation, λ = 6 μ U...

...Nenzi Wang; Shih-Hung Chang; Hua-Chih Huang This study presents an efficacy comparison of iterative solution methods for solving the compressible-fluid Reynolds equation in modeling air- or gas-lubricated bearings. A direct fixed-point iterative (DFI) method and Newton’s method are employed...

... Emulsions ,” STLE Tribol. Trans. 1040-2004 , 52 ( 1 ), pp. 66 – 72 . 10.1080/10402000802163025 Yan , S. , and Kuroda , S. , 1997 , “ Lubrication With Emulsion: First Report, the Extended Reynolds Equation ,” Wear 0043-1648 , 206 , pp. 230 – 237 . 10.1016/S0043-1648(96)07406-6...

...Kurt Beschorner; C. Fred Higgs, III; Michael Lovell Reynolds equation in polar cylindrical (polar) coordinates is used for numerous tribological applications that feature thin fluid films in sliding contacts, such as chemical mechanical polishing and pin-on-disk testing. Although unstated...

...–Floberg–Olsson (JFO) boundary conditions. A number of numerical techniques, which have certain advantages and certain disadvantages, have been developed to solve the Reynolds equation in combination with JFO boundary conditions. In the current paper, a further method is outlined, which may be a useful...

... in the porous medium. In this work, one proposes a nondimensional modified Reynolds equations based on the quadratic Forchheimer assumption. In this quadratic approach, the nondimensional parameter Φ strongly affects the bearing load capacity, by defining the nonlinearity level of the system. For values of Φ...

...Jiang Li; Haosheng Chen A discrete probability distribution function is used to represent the squared transverse roughness effect in a modified Reynolds equation, and the Reynolds equation is used to calculate the hydrodynamic lubrication in a slider-disk interface compared to the CFD method. When...

... in the continuum regime. Subsequently, pressure and shear flow factors are obtained by evaluating the velocity field in accordance with the extended Reynolds equation of Patir and Cheng ( 1978, ASME J. Tribol., 100, pp. 12–17 ). The approach allows an efficient determination of the hydrodynamic characteristics...

... that operate in full film conditions may be the result of micro-cavitation and/or convective inertia. To include inertia effects, the Navier–Stokes equations have to be used instead of the Reynolds equation. It has been shown in earlier work ( de Kraker et al., 2006, Tribol. Trans., in press ) that the coupled...

... dimple, representing the LST, were obtained via two different methods of analysis: a numerical solution of the exact full Navier-Stokes equations, and an approximate solution of the much simpler Reynolds equation. Comparison between the two solution methods illustrates that, despite potential large...