The Hydrodynamic Squeeze Film Lubrication of the Ankle Joint

Albert E. Yousif; Ali Amer Al-allaq

doi:doi:10.11648/j.ijmea.20130102.12

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The Hydrodynamic Squeeze Film Lubrication of the Ankle Joint

Albert E. Yousif, Ali Amer Al-allaq

Published in International Journal of Mechanical Engineering and Applications (Volume 1, Issue 2)

Received: 29 May 2013 Accepted: Published: 20 June 2013

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Abstract

The main aim of the study presented in this paper is to determine the characteristics of synovial fluid film region by modeling the human ankle joint to obtain an analytical expression for the pressure distribution, load carrying capacity, coefficient of friction and reduction of synovial film thickness with time of approach. Thus in order to reach a comprehensive analysis of the human ankle joint lubrication, variable behavior of synovial fluid during different time of joint activities and the influences of articular cartilage has to be taken into account. The behavior of the synovial fluid has been assumed to be isothermal, shear thinning and non- Newtonian couple stress fluid. The model of ankle joint has been taken geometrically and kinematically as a partial porous journal bearing under the action of hydrodynamic squeeze film lubrication. Typical geometrical and physical values of the ankle joint were acquired from measured values reported in literature. The problem of ankle joint lubrication has been solved numerically for various couple stress fluid parameters together with effect of varying the porosity of the articular cartilage. It has been shown , in the presence of porous articular cartilage, and by assuming the synovial fluid to be a non- Newtonian shear thinning couple stress fluid that the , pressure distribution, load carrying capacity, synovial film thickness with time of approach increased and a reduction coefficient of friction in the hydrodynamic squeeze action in the ankle joint resulted.

Published in	International Journal of Mechanical Engineering and Applications (Volume 1, Issue 2)
DOI	10.11648/j.ijmea.20130102.12
Page(s)	34-42
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Ankle Joint, Synovial Fluid, Couple Stress Fluid, Hydrodynamic Lubrication, Human Joint Lubrication

References

[1]	Naduvinamani N. B. (2010), Santosh S. , " Micropolar Fluid Squeeze Film Lubrication of Finite Porous Journal Bearing " , Proceedings of the 13th Asian Congress of Fluid Mechanics 17-21 December, Dhaka, Bangladesh ,pp 970-973.
[2]	Lin J. R., Liao W. H., Hung C. R., (2004) "The effects of couple stresses in the squeeze film characteristics between a cylinder and a plane surface", Journal of Marine Science and Technology, Vol. 12, No. 2 , pp. 119-123.
[3]	Berish Strauch ‏, Han-Liang Yu, (2006) "Atlas of Microvascular Surgery: Anatomy and Operative Techniques", Second Edition , New York, Thieme ,pp.278-280.
[4]	Ateshian G. A., Hung C. T., (2006) "The natural synovial joint: properties of cartilage", Journal Engineering Tribology, Vol. 220 Part J, pp.657-670.
[5]	Van .C. Mow, Rik Huiskes (2005) "Basic orthopaedic biomechanics and mechano-biology", Third Edition, Lippincott Williams & Wilkins, Philadelphia, pp. 181–258.
[6]	Rekha B., Shukla A. K., (2000) "Rheological Effects of Synovial Fluid on Nutritional Transport", Tribology Letters 9(3-4), pp. 233-239.
[7]	Jing Liang, (2008) "Investigation of Synthetic and Natural Lubricants", PHD Thesis, Raleigh, North Carolina, North Carolina State University, pp.40-45.
[8]	Dumbleton J.H., (1981) "The Lubrication of Natural Joints", Tribology of Natural and Artificial Joints, Series 3, Elsevier, pp.47-57.
[9]	Ruggiero A., Gòmez E., D'Amato R,( 2013) , " Approximate closed-form solution of the synovial fluid film force in the human ankle joint with non-Newtonian lubricant", Tribology International , 57 ,pp.156–161.
[10]	Bujurke N.M., Ramesh B. Kudenatti, (2006) "An analysis of rough poroelastic bearings with reference to lubrication mechanism of synovial joints", Applied Mathematics and Computation 178 ,pp.309–320.
[11]	Singh S.P., Chadda G. C., Sinha A. K. , (1988)" A model for micropolar fluid film mechanism with reference to human joint " ,Indian journal pure application mathematical 19(4) ,pp.384-394.
[12]	Ogston A. G., Stanier j. E. (1950), "On the State of Hyaluronic Acid in Synovial Fluid", biochemistry journal, 46, pp.364-376.
[13]	Medley J. B., Dowson D. , Wright V., (1984)"Transient elastohydrodynamic lubrication models for the human ankle joint", Medical Engineering & Physics limited Vol. 13 No. 3, pp.137-151.
[14]	Ruggiero A., Gòmez E., D'Amato R, (2010) "Approximate analytical model for the squeeze-film lubrication of the human ankle joint with synovial fluid filtrated by articular cartilage", Tribology Letters ,41(2),pp.337–343.
[15]	Hlavacek M,( 2009)" Lubrication of the Human Ankle Joint in Running", International Review of Mechanical Engineering, 3 , pp. 619-626.
[16]	Hlavacek M.. (2000)"Squeeze-film lubrication of the human ankle joint with synovial fluid filtrated by articular cartilage with the superficial zone worn out". Journal of Biomechanics, vol. 33, pp. 1415-1422.
[17]	Cooke A. F., Dowson D., Wright V., (1978)"The Rheology of synovial fluid and some potential synthetic lubricants for degenerate synovial joints" Engineering in Medicine, vol. 7, no. 2, pp. 66–72.
[18]	Bujurke N. M., Ramesh B. Kudenatti,( 2006) "An analysis of rough poroelastic bearings with reference to lubrication mechanism of synovial joints", Applied Mathematics and Computation 178 ,pp.309–320.
[19]	Vijay .K. Stokes (1966),"Couple stresses in fluids", Physics of Fluids, Vol. 9,pp. 1709-1715.
[20]	Walicki E., Walika A. (1998) "Mathematical modelling of some biological bearings. Smart Materials and Structures", novel materials paper presented at 4th ESSM and 2nd MIMR conference, vol. 9, pp.519–525.
[21]	Bujurket N.M., Jayaraman G.,( 1982) "The influence of couple stresses in Squeeze films", international Journal Mechanics Vol. 24, no. 6, pp. 369-376.
[22]	Prakash J. , Sinha P.,( 1976) "A Study Of Squeezing Flow In Micropolar Fluid Lubricated Journal Bearings", wear, vol. 38, pp.17-28.
[23]	Eringen A.C. (1966), "Theory of micropolar fluids", Journal of Mathematical and Mechanics. vol. 16, pp.1.
[24]	Naduvinamani N. B., Hiremath P.S., Syeda Tasneem Fathima, (2005) , " On the squeeze film lubrication of long porous journal bearings with couple stress fluids. Industrial Lubrication and Tribology , vol. 57, pp.12-20.
[25]	Medley J.B., Dowson D., Wright V. (1983) "Surface geometry of the human ankle joint", Medical Engineering & Physics limited, Vol. 12. No. 1, pp. 35–41.
[26]	Carol A. Oatis "Kinesiology, (2008), The Mechanics and Pathomechanics of Human Movement", Second Edition, Lippincott Williams and Wilkins, Philadelphia, pp. 66-79.
[27]	Mccutchen C. W., (1962) "The Frictional Properties of Animal Joints", wear, 5, pp. 1-17.
[28]	Mokhiamer U. M., Crosby W. A. , El – Gamal H. A.,( 1999) "A study of a journal bearing lubricated by fluid with couple stress considering the elasticity of the liner", Wear, 224, pp. 194 – 201.
[29]	Bujurke N.M., Naduvinamani N. B., Jayaraman G.,( 1991) "Theoretical modelling of poro-elastic slider bearings lubricated by couple stress fluid with special reference to synovial joints" Appl. Math. Modeling, Vol. 15, pp. 319-324.
[30]	www.cedars-sinai.edu.

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APA Style

Albert E. Yousif, Ali Amer Al-allaq. (2013). The Hydrodynamic Squeeze Film Lubrication of the Ankle Joint. International Journal of Mechanical Engineering and Applications, 1(2), 34-42. https://doi.org/10.11648/j.ijmea.20130102.12

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ACS Style

Albert E. Yousif; Ali Amer Al-allaq. The Hydrodynamic Squeeze Film Lubrication of the Ankle Joint. Int. J. Mech. Eng. Appl. 2013, 1(2), 34-42. doi: 10.11648/j.ijmea.20130102.12

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AMA Style

Albert E. Yousif, Ali Amer Al-allaq. The Hydrodynamic Squeeze Film Lubrication of the Ankle Joint. Int J Mech Eng Appl. 2013;1(2):34-42. doi: 10.11648/j.ijmea.20130102.12

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@article{10.11648/j.ijmea.20130102.12,
  author = {Albert E. Yousif and Ali Amer Al-allaq},
  title = {The Hydrodynamic Squeeze Film Lubrication of the Ankle Joint},
  journal = {International Journal of Mechanical Engineering and Applications},
  volume = {1},
  number = {2},
  pages = {34-42},
  doi = {10.11648/j.ijmea.20130102.12},
  url = {https://doi.org/10.11648/j.ijmea.20130102.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijmea.20130102.12},
  abstract = {The main aim of the study presented in this paper is to determine the characteristics of synovial fluid film region by modeling the human ankle joint to obtain an analytical expression for the pressure distribution, load carrying capacity, coefficient of friction and reduction of synovial film thickness with time of approach. Thus in order to reach a comprehensive analysis of the human ankle joint lubrication, variable behavior of synovial fluid during different time of joint activities and the influences of articular cartilage has to be taken into account. The behavior of the synovial fluid has been assumed to be isothermal, shear thinning and non- Newtonian couple stress fluid. The model of ankle joint has been taken geometrically and kinematically as a partial porous journal bearing under the action of hydrodynamic squeeze film lubrication. Typical geometrical and physical values of the ankle joint were acquired from measured values reported in literature. The problem of ankle joint lubrication has been solved numerically for various couple stress fluid parameters together with effect of varying the porosity of the articular cartilage. It has been shown , in the presence of porous articular cartilage, and by assuming the synovial fluid to be a non- Newtonian shear thinning couple stress fluid that the , pressure distribution, load carrying capacity, synovial film thickness with time of approach increased and a reduction coefficient of friction in the hydrodynamic squeeze action in the ankle joint resulted.},
 year = {2013}
}

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TY  - JOUR
T1  - The Hydrodynamic Squeeze Film Lubrication of the Ankle Joint
AU  - Albert E. Yousif
AU  - Ali Amer Al-allaq
Y1  - 2013/06/20
PY  - 2013
N1  - https://doi.org/10.11648/j.ijmea.20130102.12
DO  - 10.11648/j.ijmea.20130102.12
T2  - International Journal of Mechanical Engineering and Applications
JF  - International Journal of Mechanical Engineering and Applications
JO  - International Journal of Mechanical Engineering and Applications
SP  - 34
EP  - 42
PB  - Science Publishing Group
SN  - 2330-0248
UR  - https://doi.org/10.11648/j.ijmea.20130102.12
AB  - The main aim of the study presented in this paper is to determine the characteristics of synovial fluid film region by modeling the human ankle joint to obtain an analytical expression for the pressure distribution, load carrying capacity, coefficient of friction and reduction of synovial film thickness with time of approach. Thus in order to reach a comprehensive analysis of the human ankle joint lubrication, variable behavior of synovial fluid during different time of joint activities and the influences of articular cartilage has to be taken into account. The behavior of the synovial fluid has been assumed to be isothermal, shear thinning and non- Newtonian couple stress fluid. The model of ankle joint has been taken geometrically and kinematically as a partial porous journal bearing under the action of hydrodynamic squeeze film lubrication. Typical geometrical and physical values of the ankle joint were acquired from measured values reported in literature. The problem of ankle joint lubrication has been solved numerically for various couple stress fluid parameters together with effect of varying the porosity of the articular cartilage. It has been shown , in the presence of porous articular cartilage, and by assuming the synovial fluid to be a non- Newtonian shear thinning couple stress fluid that the , pressure distribution, load carrying capacity, synovial film thickness with time of approach increased and a reduction coefficient of friction in the hydrodynamic squeeze action in the ankle joint resulted.
VL  - 1
IS  - 2
ER  -

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Author Information

Albert E. Yousif

Professor, Medical Engineering Department/College of Engineering / alnahrain University, Baghdad, Iraq
Ali Amer Al-allaq

Graduate student, Medical Engineering Department/ College of Engineering / alnahrain University, Baghdad, Iraq

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Plain Text BibTeX RIS

APA Style

Albert E. Yousif, Ali Amer Al-allaq. (2013). The Hydrodynamic Squeeze Film Lubrication of the Ankle Joint. International Journal of Mechanical Engineering and Applications, 1(2), 34-42. https://doi.org/10.11648/j.ijmea.20130102.12

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ACS Style

Albert E. Yousif; Ali Amer Al-allaq. The Hydrodynamic Squeeze Film Lubrication of the Ankle Joint. Int. J. Mech. Eng. Appl. 2013, 1(2), 34-42. doi: 10.11648/j.ijmea.20130102.12

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AMA Style

Albert E. Yousif, Ali Amer Al-allaq. The Hydrodynamic Squeeze Film Lubrication of the Ankle Joint. Int J Mech Eng Appl. 2013;1(2):34-42. doi: 10.11648/j.ijmea.20130102.12

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@article{10.11648/j.ijmea.20130102.12,
  author = {Albert E. Yousif and Ali Amer Al-allaq},
  title = {The Hydrodynamic Squeeze Film Lubrication of the Ankle Joint},
  journal = {International Journal of Mechanical Engineering and Applications},
  volume = {1},
  number = {2},
  pages = {34-42},
  doi = {10.11648/j.ijmea.20130102.12},
  url = {https://doi.org/10.11648/j.ijmea.20130102.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijmea.20130102.12},
  abstract = {The main aim of the study presented in this paper is to determine the characteristics of synovial fluid film region by modeling the human ankle joint to obtain an analytical expression for the pressure distribution, load carrying capacity, coefficient of friction and reduction of synovial film thickness with time of approach. Thus in order to reach a comprehensive analysis of the human ankle joint lubrication, variable behavior of synovial fluid during different time of joint activities and the influences of articular cartilage has to be taken into account. The behavior of the synovial fluid has been assumed to be isothermal, shear thinning and non- Newtonian couple stress fluid. The model of ankle joint has been taken geometrically and kinematically as a partial porous journal bearing under the action of hydrodynamic squeeze film lubrication. Typical geometrical and physical values of the ankle joint were acquired from measured values reported in literature. The problem of ankle joint lubrication has been solved numerically for various couple stress fluid parameters together with effect of varying the porosity of the articular cartilage. It has been shown , in the presence of porous articular cartilage, and by assuming the synovial fluid to be a non- Newtonian shear thinning couple stress fluid that the , pressure distribution, load carrying capacity, synovial film thickness with time of approach increased and a reduction coefficient of friction in the hydrodynamic squeeze action in the ankle joint resulted.},
 year = {2013}
}

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TY  - JOUR
T1  - The Hydrodynamic Squeeze Film Lubrication of the Ankle Joint
AU  - Albert E. Yousif
AU  - Ali Amer Al-allaq
Y1  - 2013/06/20
PY  - 2013
N1  - https://doi.org/10.11648/j.ijmea.20130102.12
DO  - 10.11648/j.ijmea.20130102.12
T2  - International Journal of Mechanical Engineering and Applications
JF  - International Journal of Mechanical Engineering and Applications
JO  - International Journal of Mechanical Engineering and Applications
SP  - 34
EP  - 42
PB  - Science Publishing Group
SN  - 2330-0248
UR  - https://doi.org/10.11648/j.ijmea.20130102.12
AB  - The main aim of the study presented in this paper is to determine the characteristics of synovial fluid film region by modeling the human ankle joint to obtain an analytical expression for the pressure distribution, load carrying capacity, coefficient of friction and reduction of synovial film thickness with time of approach. Thus in order to reach a comprehensive analysis of the human ankle joint lubrication, variable behavior of synovial fluid during different time of joint activities and the influences of articular cartilage has to be taken into account. The behavior of the synovial fluid has been assumed to be isothermal, shear thinning and non- Newtonian couple stress fluid. The model of ankle joint has been taken geometrically and kinematically as a partial porous journal bearing under the action of hydrodynamic squeeze film lubrication. Typical geometrical and physical values of the ankle joint were acquired from measured values reported in literature. The problem of ankle joint lubrication has been solved numerically for various couple stress fluid parameters together with effect of varying the porosity of the articular cartilage. It has been shown , in the presence of porous articular cartilage, and by assuming the synovial fluid to be a non- Newtonian shear thinning couple stress fluid that the , pressure distribution, load carrying capacity, synovial film thickness with time of approach increased and a reduction coefficient of friction in the hydrodynamic squeeze action in the ankle joint resulted.
VL  - 1
IS  - 2
ER  -

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