Nonlinear Reynolds equation for hydrodynamic lubrication [PDF]
Applied Mathematical Modelling, 2015 We derive a novel and rigorous correction to the classical Reynolds lubrication approximation for fluids with viscosity depending upon the pressure. Our analysis shows that the pressure dependence of viscosity leads to additional nonlinear terms related to the shear-rate and arising from a non negligible cross-film pressure.
Stenberg, Rolf +3 more
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Formulation of the Reynolds equation on a time-dependent lubrication surface. [PDF]
Proc Math Phys Eng Sci, 2016 Temizer I, Stupkiewicz S.
europepmc +2 more sources
Acoustic standing wave driven bubble dynamics in Oldroyd-B fluids using a semi analytical approach. [PDF]
Sci RepBubble oscillation plays a pivotal role in a multitude of medical and industrial applications. In this study, we employ a semi-analytical method to investigate the oscillation of a bubble in a viscoelastic fluid.
Alirahimi S +2 more
europepmc +2 more sources
The accuracy of the compressible Reynolds equation for predicting the local pressure in gas-lubricated textured parallel slider bearings. [PDF]
Tribol Int, 2014 Qiu M +3 more
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Singular perturbation problem for the incompressible Reynolds equation
Electronic Journal of Differential Equations, 2006 Summary: We study the asymptotic behavior of the solution of Reynolds equation which describes the behavior of the fluid between two close surfaces as the distance between the two surfaces locally tends to zero.
Ionel Ciuperca +2 more
openaire +3 more sources
Stabilized finite elements for the solution of the Reynolds equation considering cavitation [PDF]
Computer Methods in Applied Mechanics and Engineering, 2023 The Reynolds equation, combined with the Elrod algorithm for including the effect of cavitation, resembles a nonlinear convection-diffusion-reaction (CDR) equation. Its solution by finite elements is prone to oscillations in convection-dominated regions,
H. Gravenkamp, S. Pfeil, R. Codina
semanticscholar +1 more source
Optimization of the Colebrook-White Equation based on experimental data [PDF]
مهندسی مکانیک شریف, 2022 Friction plays an important role in velocity distribution, shear stress, boundary layer, energy loss, and erosion. In the pressure drop, the friction factor has a direct relation with the Reynolds Number in smooth, turbulent, and transitional flows from ...
S. Daryaei, M. Aelaei
doaj +1 more source
Effect of hydromagnetic squeeze film between non-porous rough triangular plates [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2022 The current investigation analyse the impact of hydromagnetic squeeze film between non-porous rough triangular plates. The bearing surface are viewed transversely rough. The Christensen and Tonder model is embraced for transverse roughness.
Pragnesh L. Thakkar, H. C. Patel
doaj +1 more source
International Journal of Applied Mechanics and Engineering, 2021 Since the 1960s, all studies have assumed that a film thickness “ h ” provides a unique pressure field “ p ” by resolving the Reynolds equation. However, it is relevant to investigate the film thickness unicity under a given hydrodynamic pressure within ...
M. El Gadari, M. Hajjam
doaj +1 more source
Efficient rotordynamic simulations with semi-analytical computation of hydrodynamic forces [PDF]
Bulletin of the Polish Academy of Sciences: Technical Sciences, 2023 A common problem in transient rotordynamic simulations is the numerical effort necessary for the computation of hydrodynamic bearing forces. Due to the nonlinear interaction between the rotordynamic and hydrodynamic systems, an adequate prediction of ...
Simon Pfeil +2 more
doaj +1 more source