A Generalized Steady-State Reynolds Equation for Non-Newtonian Fluids, With Application to Journal Bearings

Dien, I. K.; Elrod, H. G.

doi:10.1115/1.3254619

Cited by 138 publications

(67 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…is based on the assumption that the strain rates within the fluid are principally generated by the relative surface velocities [29][30][31]. Thus, the present analysis is applicable to Couette-dominated highly non-Newtonian flows, or to Newtonian flows with arbitrary Couette-Pouiseuille components.…”

Section: Theorymentioning

confidence: 98%

A Lubrication Theory for Anisotropic Slips and Flow Rheology

Jao

Chang

Chu

et al. 2016

Tribology Transactions

View full text Add to dashboard Cite

A lubrication theory, considering the coupled effects of anisotropic slips on both the solid/liquid interface and non-Newtonian power-law lubricant, is proposed for enhancing surface treatment and oil additives. A modified Reynolds equation as well as Poiseuille and Couette flow rate correctors are then derived by applying the rheology model and Navier-slip boundary conditions with orthogonal principal slip lengths( ix b , iy b ). Hence, the different slenderness ratios which leads different performance of journal bearings is used to highlight the coupling effects of anisotropic slips and flow rheology. Contours of constant load ratios are plotted and then the Downloaded by [Cambridge University Library] at 05:02 16 August 2015 ACCEPTED MANUSCRIPT 2 parameters in flow rheology and boundary slip can be located while designing functional surfaces in journal bearings.

show abstract

Section: Theorymentioning

confidence: 98%

A Lubrication Theory for Anisotropic Slips and Flow Rheology

Jao

Chang

Chu

et al. 2016

Tribology Transactions

View full text Add to dashboard Cite

show abstract

“…Dien and Elrod [23] considered the same problem, but neglected the absolute value of du/dy, and so their analysis is only valid for du/dy > 0. Substituting equation (11) into (9) results in the following equation for a Moore-like fluid dp dx = d dy η ratio + 1 − η ratio 1 + |(du/dy)/γ 1/2 | du dy (23) which when integrated with respect to y gives dp dx y + c M = η ratio + 1 − η ratio 1 + |(du/dy)/γ 1/2 | du dy (24) with c M the constant of integration.…”

Section: Fsd Formsmentioning

confidence: 99%

“…Substituting equation (11) into (9) results in the following equation for a Moore-like fluid dp dx = d dy η ratio + 1 − η ratio 1 + |(du/dy)/γ 1/2 | du dy (23) which when integrated with respect to y gives dp dx y + c M = η ratio + 1 − η ratio 1 + |(du/dy)/γ 1/2 | du dy (24) with c M the constant of integration. Equation (24) when rearranged gives dp dx…”

Section: Fsd Formsmentioning

confidence: 99%

Analytical and numerical solutions of thin lubricating films for differing shear-thinning viscosity models

Hewson

Kapur

Gaskell

2007

Proceedings of the Institution of Mechanical Engineers, Part J:

View full text Add to dashboard Cite

A detailed assessment of thin film lubrication, for shear-thinning fluids, in two benchmark geometries -a classical linear slider-bearing and a converging-diverging gap arrangement -is provided in terms of the associated pressure distribution, flowrate, and variation in friction. Solutions, both analytical and purely numerical are obtained, with three different rheological constitutive relationships, the viscosity being represented via either a power-law or a Moore or an Ellis model. Finite-element simulations, with these rheological models fully integrated within the weak form of the momentum equation, show that the accuracy of the corresponding analytical solutions depends on whether the resulting pressure gradientflux relationships are derived using either a full or average shear-dependence formulation. Indeed, the analytical results obtained via the latter form reveal significant discrepancies as the shear-thinning effects increase, in that the behaviour of the pressure field is not well captured.

show abstract

“…In this article, a series of analytical models are developed to predict the penetration depth during slot die coating accounting for the effect of capillary pressure in the porous media, for Newtonian and non‐Newtonian fluids. Lubrication equations, Darcy's law, and a modified Blake–Kozeny equation are used to provide simple expressions for calculating the final penetration depth of a fluid into a porous domain. In addition, a dimensionless parameter is established to evaluate the effect of capillary pressure on penetration depth.…”

Section: Introductionmentioning

confidence: 99%

Analytical models for predicting penetration depth during slot die coating onto porous media

et al. 2014

View full text Add to dashboard Cite

A series of analytical models have been developed to predict the penetration depth during slot die coating on porous media. Analytical models for both Newtonian and non-Newtonian fluids were derived based on Lubrication Theory, Darcy's law, and a modified Blake-Kozeny equation. Using these models, the penetration depth can be quickly solved and the effects of material properties and processing conditions on penetration depth can be easily investigated. Experiments of coating Newtonian glycerin and non-Newtonian blackstrap molasses onto Toray series carbon paper were conducted to validate developed models. The overall relative error between the predicted and measured penetration depth was found to be typically lower than 20%, which demonstrates the relative accuracy of developed models. Furthermore, based on a parametric study, it was found that the effect of capillary pressure on penetration depth is less than 10% when the ratio of coating bead pressure and capillary pressure is larger than 10.

show abstract

A Generalized Steady-State Reynolds Equation for Non-Newtonian Fluids, With Application to Journal Bearings

Cited by 138 publications

References 0 publications

A Lubrication Theory for Anisotropic Slips and Flow Rheology

A Lubrication Theory for Anisotropic Slips and Flow Rheology

Analytical and numerical solutions of thin lubricating films for differing shear-thinning viscosity models

Analytical models for predicting penetration depth during slot die coating onto porous media

Contact Info

Product

Resources

About