Non-Newtonian couple stress poroelastic squeeze film

Nabhani, Mohamed; Khlifi, Mohamed El; Bou‐Saïd, Benyebka

doi:10.1016/j.triboint.2013.03.006

Cited by 16 publications

(20 citation statements)

References 29 publications

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“…1 a peristaltic wave propagates from the left reservoir (Anode, +ve ion) to the right reservoir (Cathode, -ve ion) with a wave velocity c. The equations of motion that characterize a couple stress fluid flow under the effect of an axial external electric field are given, in vector form, by (Refs. [10][11][12][13][14]):…”

Section: Mathematical Formulation and Analytical Solutionmentioning

confidence: 99%

“…Couple stresses have been identified in real working fluids which have large molecules. Couple stress theory has been implemented in many branches of engineering, biology and energy systems including lubrication design [10,11], hemodynamic filtration systems [12], blood flows [13] and magnetohydrodynamics [14]. Using appropriate mathematical models and numerical/analytical methods, the dynamics of couple stress fluids can be simulated quite accurately as demonstrated in [10]- [14].…”

Section: Introductionmentioning

confidence: 99%

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Electro-osmotic flow of couple stress fluids in a micro-channel propagated by peristalsis

2017

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Section: Mathematical Formulation and Analytical Solutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Electro-osmotic flow of couple stress fluids in a micro-channel propagated by peristalsis

2017

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“…Integrating (12) with respect to in the interval ( , + 0 ) and also using Morgan Cameron approximation we obtain…”

Section: Solution Of the Problemmentioning

confidence: 99%

“…Bujurke and Kudenatti [11] have presented the analysis of rough poroelastic bearings with reference to lubrication mechanism of synovial joints. Nabhani et al [12] investigated the non-Newtonian couple stress poroelastic squeeze film. Yousif and Al-allaq [13] studied the hydrodynamic squeeze film lubrication of the human ankle joint.…”

Section: Introductionmentioning

confidence: 99%

Effect of Surface Roughness on the Squeeze Film Lubrication of Finite Poroelastic Partial Journal Bearings with Couple Stress Fluids: A Special Reference to Hip Joint Lubrication

Naduvinamani

Savitramma

2014

ISRN Tribology

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A simplified mathematical model has been developed for understanding the combined effects of surface roughness and couple stresses on the squeeze film behavior of poroelastic bearings in general and that of hip joints in particular. The cartilage is modeled as biphasic poroelastic matrix and synovial fluid is modeled as couple stress fluid. The modified form of averaged Reynolds equation which incorporates the randomized roughness structure as well as elastic nature of articular cartilage with couple stress fluid as lubricant is derived. For the study of rough surfaces, Christensen's stochastic theory is used to study the effect of two types of one-dimensional random roughness, namely, longitudinal roughness pattern and the transverse roughness pattern. The averaged film pressure distribution equations are solved numerically by using the conjugate gradient method. It is observed that the surface roughness effect is dominant and pattern dependent and the influence of couple stresses is to improve the joint performance.

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“…This theory allows for the presence of couple stresses, body couples and non-symmetric tensor. Many investigators have applied the Stokes microcontinuum theory to study the influences of non-Newtonian couple stresses on performance characteristics of squeeze films, such as the non-rotating journal bearings by Naduvinamani et al [16], the rectangular plates and circular disks by Ramanaiah [17], the parallel stepped plates by Kashinath [18], and the poroelastic circular disks by Nabhani et al [19]. According to their results, the non-Newtonian effects of couple stresses result in an increased load capacity and signify an improvement in the squeeze film characteristics.…”

Section: Introductionmentioning

confidence: 99%

Effects of circumferential and radial rough surfaces in a non-Newtonian magnetic fluid lubricated squeeze film

Lin¹,

Liang²,

Lin³

et al. 2015

Applied Mathematical Modelling

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a b s t r a c tThe effects of surface roughness in circular squeeze film disks lubricated with a non-Newtonian magnetic fluid are investigated in this paper. Employing the stochastic model together with the microcontinuum theory and the ferromagnetic flow model, a non-Newtonian magnetic-fluid lubricated Reynolds equation including the influences of rough surfaces is derived, and applied to predict the squeeze film performances. According to the results, the surface roughness effects of circumferential structures increase the mean load capacity and lengthen the mean approaching time as compared to those of the smooth disks with a non-Newtonian magnetic fluid. However, the radial roughness patterns yield a reversed trend. In addition, the effects of rough surfaces on the squeeze film characteristics are more pronounced for circular disks operating with larger values of the surface roughness parameter, the non-Newtonian couple stress parameter, the volume concentration parameter and the magnetic Langevin parameter.

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Non-Newtonian couple stress poroelastic squeeze film

Cited by 16 publications

References 29 publications

Electro-osmotic flow of couple stress fluids in a micro-channel propagated by peristalsis

Electro-osmotic flow of couple stress fluids in a micro-channel propagated by peristalsis

Effect of Surface Roughness on the Squeeze Film Lubrication of Finite Poroelastic Partial Journal Bearings with Couple Stress Fluids: A Special Reference to Hip Joint Lubrication

Effects of circumferential and radial rough surfaces in a non-Newtonian magnetic fluid lubricated squeeze film

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