scholarly journals Derivation of two-dimensional non-Newtonian Reynolds equation and application to power-law film slider bearings: Rabinowitsch fluid model

2016 ◽  
Vol 40 (19-20) ◽  
pp. 8832-8841 ◽  
Author(s):  
Jaw-Ren Lin ◽  
Li-Ming Chu ◽  
Tzu-Chen Hung ◽  
Pin-Yu Wang
Keyword(s):  
Power Law ◽  
Reynolds Equation ◽  
Fluid Model ◽  
Two Dimensional ◽  
Slider Bearings

Effect of non-Newtonian magneto-elastohydrodynamic on performance characteristics of slider-bearings

2019 ◽  
Vol 71 (10) ◽  
pp. 1158-1165
Author(s):  
Mouhcine Mouda ◽  
Mohamed Nabhani ◽  
Mohamed El Khlifi
Keyword(s):  
Friction Coefficient ◽  
Design Methodology ◽  
Reynolds Equation ◽  
Load Capacity ◽  
Transverse Magnetic ◽  
Finite Width ◽  
Two Dimensional ◽  
Content Type ◽  
Slider Bearings ◽  
First Time

Purpose This study aims to examine the magneto-elastohydrodynamic effect on finite-width slider-bearings lubrication using a non-Newtonian lubricant. Design/methodology/approach Based on the magneto-hydrodynamic (MHD) theory and Stokes micro-continuum mechanics, the modified two-dimensional Reynolds equation including bearing deformation was derived. Findings It is found that the bearing deformation diminishes the load-capacity and increases the friction coefficient in comparison with the rigid case. However, the non-Newtonian effect increases load-capacity but decreases the friction coefficient. Moreover, the use of a transverse magnetic field increases both the friction coefficient and load capacity. Originality/value This study combines for the first time MHD and elastic deformation effects on finite-width slider-bearings using a non-Newtonian lubricant.

Adiabatic analysis of microtextured porous journal bearings functioned with power law fluid model

2019 ◽  
Vol 233 (10) ◽  
pp. 1541-1553 ◽  
Author(s):  
N Sharma ◽  
S Kango ◽  
RK Sharma
Keyword(s):  
Power Law ◽  
Reynolds Equation ◽  
Fluid Model ◽  
Journal Bearings ◽  
Power Law Fluid ◽  
Average Temperature ◽  
Capacity Coefficient ◽  
Load Carrying ◽  
Temperature Parameter ◽  
Micro Dimples

The present work contributes to a pragmatic approach for improving the performance of porous journal bearings by incorporating different textures. The textures in the form of micro dimples (spherical (Sph) and ellipsoidal (Eps)) were incorporated on the bearing surface, whereas power law fluid was employed as working lubricant of non-Newtonian nature. The permeability effect has been considered through Darcy’s equation to derive a modified Reynolds equation. To account for the temperature parameter, the modified energy equation has also been derived for adiabatic conditions and solved numerically. The presence of textures and lubricant rheology influences the load-carrying capacity, coefficient of friction, attitude angle, axial fluid flow, and average temperature of porous journal bearings.

Perturbation Solution of Non-Newtonian Lubrication With the Convected Maxwell Model

2005 ◽  
Vol 127 (2) ◽  
pp. 302-305 ◽  
Author(s):  
Rong Zhang ◽  
Xueming He ◽  
Simon X. Yang ◽  
Xinkai Li
Keyword(s):  
Viscoelastic Fluid ◽  
Reynolds Equation ◽  
Fluid Model ◽  
Maxwell Model ◽  
Deborah Number ◽  
Perturbation Solution ◽  
Two Dimensional ◽  
Sliding Velocity ◽  
Regular Perturbation ◽  
Leading Term

There are many studies on variations of the Maxwell model. Tichy (1996) discussed an admissible formulation of the Maxwell viscoelastic fluid model using a convected derivative and applied it to two-dimensional lubrication flow. Tichy obtained a solution using a regular perturbation in the Deborah number with the conventional lubrication solution as the leading term. This paper extends Tichy’s model by using a double regular perturbation to the convected Maxwell model. A correspondence solution can also be obtained. Our sliding velocity solution is different from Tichy’s solution; and a modified Reynolds equation is also different from that by Tichy.

Numerical Analysis of Two-Phase Pipe Flow of Liquid Helium Using Multi-Fluid Model

2001 ◽  
Vol 123 (4) ◽  
pp. 811-818 ◽  
Author(s):  
Jun Ishimoto ◽  
Mamoru Oike ◽  
Kenjiro Kamijo
Keyword(s):  
Phase Transition ◽  
Gas Phase ◽  
Liquid Helium ◽  
Two Phase Flow ◽  
Fluid Model ◽  
Numerical Results ◽  
Phase Flow ◽  
Two Dimensional ◽  
Two Phase ◽  
Normal Fluid

The two-dimensional characteristics of the vapor-liquid two-phase flow of liquid helium in a pipe are numerically investigated to realize the further development and high performance of new cryogenic engineering applications. First, the governing equations of the two-phase flow of liquid helium based on the unsteady thermal nonequilibrium multi-fluid model are presented and several flow characteristics are numerically calculated, taking into account the effect of superfluidity. Based on the numerical results, the two-dimensional structure of the two-phase flow of liquid helium is shown in detail, and it is also found that the phase transition of the normal fluid to the superfluid and the generation of superfluid counterflow against normal fluid flow are conspicuous in the large gas phase volume fraction region where the liquid to gas phase change actively occurs. Furthermore, it is clarified that the mechanism of the He I to He II phase transition caused by the temperature decrease is due to the deprivation of latent heat for vaporization from the liquid phase. According to these theoretical results, the fundamental characteristics of the cryogenic two-phase flow are predicted. The numerical results obtained should contribute to the realization of advanced cryogenic industrial applications.

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