Effect of Magnetic Field in Lubrication of Synovial Joints

Bali, Rekha; Sharma, Sunil Kumar

doi:10.1007/s11249-005-7445-5

Cited by 14 publications

(9 citation statements)

References 16 publications

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“…The present investigation, the Stokes-Brinkman coupling is used to unite the fluid domain Stokes equation with the porous media Brinkman equation. Evidence suggests that this model accurately represents the knee joint [27][28][29][30] . The Beavers and Joseph slip conditions, which are a specific boundary condition for the synovial fluid, are used to solve the governing system of partial differential equations, and the results are presented here for the first time, illuminating the convective diffusion of the viscous flow along the articular surfaces between the joints.…”

Section: Discussionmentioning

confidence: 99%

Significance of Brinkman and Stokes system conjuncture in human knee joint

Al-Atawi

Hasnain²,

Saqib

et al. 2022

Sci Rep

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Stokes’s equation in the fluid domain and Brinkman’s equation in the porous media are combined in the current study which is designated by the Stokes-Brinkman coupling. The current paper gives a theoretical analysis of the Stokes-Brinkman coupling. It has been shown that such a model is a good match for the knee joint. A flow model has been investigated in order to get a better understanding of the convective diffusion of the viscous flow along the articular surfaces between the joints. The Beavers and Joseph slip conditions which are a specific boundary condition for the synovial fluid are used to solve the governing system of partial differential equations for the synovial fluid and the results are provided here. We develop formulas for the interfacial velocity for both flow through special slip condition and analyse the link between the slip parameters $$\alpha $$ α and $$\beta $$ β . Thus, the damping force due to the porous medium naturally when we non-dimensionalize, some parameter which are controlling the structure like, $$\beta $$ β and $$\alpha $$ α . Through the development of an analytical solution and numerical simulation (using the finite volume approach) it is hoped that the mechanisms of nutritional transport into the synovial joint will be better understood. According to the data the average concentration has a negative connection with both the axial distance and the duration spent in the experiment. Many graphs have been utilized to gain understanding into the problem’s various characteristics including velocity and concentration, among others. Hyaluronate (HA) is considered to be present in porous cartilage surfaces and the viscosity of synovial fluid fluctuates in response to the amount of HA present.

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Section: Discussionmentioning

confidence: 99%

Significance of Brinkman and Stokes system conjuncture in human knee joint

Al-Atawi

Hasnain²,

Saqib

et al. 2022

Sci Rep

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“…The equations governing the flow are designated by

\nabla . \overset{V}{true} = 0,

ρ_{f} (\frac{D \overset{̅}{V}}{D \overset{̅}{t}}) = - \nabla \overset{P}{true} + 2 italicdiv (μ (\overset{C}{true}, \overset{D}{true})) + \overset{J}{true} \times \overset{B}{true},

ρ_{f} \frac{d \overset{T}{true}}{d \overset{t}{true}} goodbreakinfix= k \overset{\nabla}{true} . (\overset{\nabla}{true} \overset{T}{true}) goodbreakinfix+ τ ρ_{f} c_{f} [D_{B} (\overset{\nabla}{true} \overset{C}{true} . \overset{\nabla}{true} \overset{T}{true}) + \frac{D_{T}}{T_{0}} (\overset{\nabla}{true} \overset{T}{true} . \overset{\nabla}{true} \overset{T}{true})],

\frac{d \overset{C}{true}}{d \overset{t}{true}} goodbreakinfix= D_{B} {\overset{̅}{\nabla}}^{2} \overset{C}{true} goodbreakinfix+ \frac{D K_{T}}{T_{0}} {\overset{̅}{\nabla}}^{2} \overset{T}{true},

where

\overset{V}{true}

is the velocity vector of the fluid , is the current density,

\overset{B}{true}

is the magnetic flux density,

\overset{P}{true}

is the pressure,

…”

Section: Problem Modelingmentioning

confidence: 99%

“…Eventually, magnetized Nanofluid flows are also paramount in targeting drug delivery in different diseases. The influence of magnetic field on synovial fluid was discussed by Balli and Sharma . Sucharitha et al have investigated the influences of Joule heating and wall flexibility on the peristaltic flow of magnetohydrodynamic nanofluid.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Hall current effect on the peristaltic motion of synovial nanofluid with magnetohydrodynamics

Hasona

2019

Heat Trans. Asian Res.

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This paper examines the influence of magnetic field on peristaltic flow of synovial nanofluid in an asymmetric channel. Hall current, thermophoresis, and Brownian motion effects are taken into account. Our problem is discussed for two models, in the first model which referred as Model (I), viscosity is considered exponentially dependent on the concentration, and Model (II) Shear thinning index is considered function of concentration. The governing problem is reformulated under the assumption of low Reynolds number and high wavelength. Resulting system of equations are solved numerically with the aid of Parametric ND Solve. Detailed comparisons have been made between Model (I) and Model (II) and found unrealistic results between them. Results for velocity, temperature and nanoparticle concentration distributions as well as pressure gradient and pressure rise are offered graphically for different values of various physical parameters. It is found that the velocity of fluid decreases in semi‐curved lines in case of Model (I) with the increase of Nb while, in Model (II) it decreases in the left side of the channel and increases in the right side of that channel. Such models are applicable to rheumatoid arthritis treatment.

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“…This property has been investigated to see whether it can be used to improve the performance of rolling and sliding lubricated contacts. Theoretical studies suggest that, under the proper conditions, magnetic fluids improve the contact load capacity and help preventing leakage at high operating speed or under the action of gravity [9][10][11]. A successful application of this kind of fluid is the so-called magnetic seal, where the fluid is used to separate two plates that are maintained at different operating pressures [8,12].…”

Section: Introductionmentioning

confidence: 99%

Soft Elasto-Hydrodynamic Lubrication

et al. 2010

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This article examines the use of ferrofluids to control starvation in lubricated contacts. Starvation in a ball-plate contact is experimentally studied under slidingrolling conditions using a Mini Traction Machine (MTM). Friction is measured and the experimental results are presented in the form of Stribeck curves. The volume of lubricant is controlled in such a way that no free bulk oil is present in the vicinity of the contact. An abrupt change in the slope of the Stribeck curve in the Hydrodynamic Lubrication zone is interpreted as the onset of starvation. It is then shown that the use of ferrofluids in the presence of a magnetic field distribution can change the conditions at which this onset of starvation occurs. Different magnetic field distributions are tested for different values of load and ferrofluid viscosity. It is proposed that ferrofluid lubricants in conjunction with a suitably positioned magnetic field can be used to promote replenishment, and thus control and reduce lubricant starvation.

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Effect of Magnetic Field in Lubrication of Synovial Joints

Cited by 14 publications

References 16 publications

Significance of Brinkman and Stokes system conjuncture in human knee joint

Significance of Brinkman and Stokes system conjuncture in human knee joint

Hall current effect on the peristaltic motion of synovial nanofluid with magnetohydrodynamics

Soft Elasto-Hydrodynamic Lubrication

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