Micropolar fluid squeeze film lubrication between rough anisotropic poroelastic rectangular plates: special reference to synovial joint lubrication

Savitramma, G K; Naduvinamani, N. B.

doi:10.1179/1751584x12y.0000000021

Cited by 6 publications

(1 citation statement)

References 13 publications

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“…Their research indicated that the impacts of pair stresses increase both steady-state and dynamic stiffness and damping properties. Savitramma and Naduvinamani [30] studied the effects of surface roughness and poroelasticity on the micropolar squeeze film behavior between rectangular plates and discovered that the influence of surface roughness has significant implications on the synovial joint lubrication mechanism. Al Atawi et al [31] presented a synovial joint study recently and investigated the effect of different parameters such as the porosity and viscoelasticity of articular cartilages on the flow of steady convective diffusion in synovial joint by utilizing the finite volume method combined with the Beavers and Joseph conditions.…”

Section: Introductionmentioning

confidence: 99%

Effect of Significant Parameters on Squeeze Film Characteristics in Pathological Synovial Joints

et al. 2023

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Synovial joints are unique biological tribo-systems that allow for efficient mobility. Most of the synovial joint activities in the human body are accomplished due to the presence of synovial fluid. As a biological lubricant, synovial fluid lubricates the articular cartilage to minimize wear and friction. The key components of synovial fluid that give it its lubricating ability are lubricin, hyaluronic acid (HA), and surface-active phospholipids. Due to age and activities, synovial fluid and articular cartilages lose their properties, restricting synovial joint mobility and resulting in articular cartilage degradation, leading to the pathological synovial joint, which is a major cause of disability. In this context, synovial joint research remains significant. Even though synovial joint lubrication has been investigated, several problems linked to squeeze film lubrication need greater attention. The Newtonian model of squeeze film lubrication in synovial joints must be studied more extensively. This work aims to investigate squeeze film lubrication in diseased synovial joints. The lubrication and other properties of synovial fluid and the flow of synovial fluid in a diseased human knee joint are investigated theoretically in this work. We have investigated the effect of the synovial fluid viscosity and the effects of permeability and thickness of articular cartilage on squeeze film properties. Moreover, we have also investigated the effect of squeeze velocity and film thickness on the characteristics of the squeeze film formed between the articular cartilages of a diseased human knee joint. In this work, the articular cartilages were treated as a rough, porous material, and the geometry was approximated as parallel rectangular plates, while the synovial fluid flow is modeled as a viscous, incompressible, and Newtonian fluid. The modified Reynolds equation is obtained using the principles of hydrodynamic lubrication and continuum mechanics, and it is solved using the appropriate boundary conditions. The expressions for pressure distribution, load-bearing capacity, and squeezing time are then determined, and theoretical analysis for various parameters is conducted. Pressure is increased by squeeze velocity and viscosity, while it is decreased by permeability and film thickness, leading to an unhealthy knee joint and a reduction in knee joint mobility. The load capacity of the knee joint decreases with permeability and increases with viscosity and squeezing velocity, resulting in a reduction in the load-carrying capacity of the knee joint in diseased conditions. Synovial knee joint illness is indicated by increased pressure and squeeze time. The squeeze film properties of synovial joints are important for maintaining joint health and function. Joint diseases such as osteoarthritis, rheumatoid arthritis, and gout can affect the composition and production of synovial fluid, leading to changes in squeeze film properties and potentially causing joint damage and pain. Understanding these relationships can help in the development of effective treatments for joint diseases.

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Section: Introductionmentioning

confidence: 99%

Effect of Significant Parameters on Squeeze Film Characteristics in Pathological Synovial Joints

et al. 2023

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Numerical modeling of poro-elasticity effects on squeeze film of parallel plates using homogenization method

Gbehe

Khlifi

Nabhani

et al. 2016

Tribology International

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Squeeze-film flow between a flat impermeable bearing and an anisotropic porous bed

Karmakar

Sekhar

2018

Physics of Fluids

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We consider a theoretical model of the squeeze film in the presence of a porous bed. The gap between the porous bed and the bearing is assumed to be filled with a Newtonian fluid. We use the Navier-Stokes equation in the fluid region and the Darcy equation in the fluid filled porous region. Lubrication approximation is used to derive the corresponding evolution equation for the film thickness. We use G. S. Beavers and D. D. Joseph [“Boundary conditions at a naturally permeable wall,” J. Fluid. Mech. 30, 197–207 (1967)] and M. Le Bars and M. G. Worster [“Interfacial conditions between a pure fluid and a porous medium: Implications for binary alloy solidification,” J. Fluid. Mech. 550, 149–173 (2006)] condition at the liquid porous interface and present a detailed analysis on the corresponding impact. We assume that the porous bed is anisotropic in nature with permeabilities K2 and K1 along the principal axes. Accordingly, the anisotropic angle ϕ is taken as the angle between the horizontal direction and principal axis with permeability K2. We show that the anisotropic permeability ratio and the anisotropic angle make a significant influence on the contact time, flux, velocity, etc. Contact time to meet the porous bed when a bearing approaches under a constant prescribed load is estimated. We present some important findings (relevant to the knee joint) based on the anisotropic properties of the human cartilage. For a prescribed constant load, we have estimated the time duration, during which a healthy human knee remains fluid lubricated.

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Micropolar fluid squeeze film lubrication between rough anisotropic poroelastic rectangular plates: special reference to synovial joint lubrication

Cited by 6 publications

References 13 publications

Effect of Significant Parameters on Squeeze Film Characteristics in Pathological Synovial Joints

Effect of Significant Parameters on Squeeze Film Characteristics in Pathological Synovial Joints

Numerical modeling of poro-elasticity effects on squeeze film of parallel plates using homogenization method

Squeeze-film flow between a flat impermeable bearing and an anisotropic porous bed

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