Engineering Transactions, 53, 1, pp. 69–114, 2005

Comparison Between Impulsive and Periodic Non-Newtonian Lubrication of Human Hip Joint

1) Technical University Gdansk 2) Maritime Academy of Gdynia

This paper shows numerical comparisons between lubrication of human hip joint gap in unsteady impulsive and periodic motion. We assume that spherical bone head in human hip joint moves at least in two directions namely in circumference and meridian directions. Basic equations describing synovial fluid flow in human hip joint are solved on the analytical and numerical way. Numerical calculations are performed in Mathcad 11 Professional Program, taking into account the method of Finite Differences. This method satisfies stability of numerical solutions of partial differential equations and gives real values of pressure and capacity forces occurring in human hip joints.
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D. DOWSON, Bio–tribology of natural and replacement synovial joints, rind C. VAN Mow, A. RATCLIFFE, S.L-Y. Woo [Eds.], Biomechanics of Diarthrodial Joint, Springer-Verlag, New York, Berlin, Londyn, Paris, Tokyo, Hong Kong, 2, 29, 305–345, 1990.

E. KACKI, Partial differential equations in physical and technical problems [in Polish], WNT, Warszawa 1989.

K. KNOPP, Infinite series [in Polish], PWN, 1956.

V.C. MOW, M.H. HOLMES, M.H. LAI, Fluid transport and mechanical properties of articular cartilage, Journal of Biomechanics, 17, 337–394, 1984.

V.C. MOW, A. RATCLIFFE, S. WOO, Biomechanics of diarthrodial joints, Springer-Verlag Berlin, Heidelberg, New York 1990.

V.C. MOW, L. J. SOSLOWSKY, Friction, lubrication and wear of diarthrodial joints, [in:] V.C. Mow, W. C. Hayes [Eds.], Basic Orthopedic Biomechanics, New York Raven Press, 254–291, 1991.

V.C. MOW, F. GUILAK, Cell mMechanics and cellular engineering Springer Verlag, Berlin, Heidelberg, New York 1994.

A. RALSTON, A first course in numerical analysis, McGraw Hill Co., New York, Toronto, London, Sydney 1965.

I. TEIPEL, The Impulsive motion of a flat plate in a viscoelastic fluid, Acta Mechanica, Springer-Verlag, 39, 277–279, 1981.

C. TRUESDEL, A First course in rational continuum mechanics, Maryland, John Hopkins University, Baltimore 1972.

M. UNGETHÜM, W. WINKLER-GNIEWEK, Tribology in medicine [in German], Tribologie Schmierungstechnik, 5, 268–277, 1990.

K. WIERZCHOLSKI, S. PYTKO, The parameters calculation method for biobearing lubricated with non-Newtonian lubricants [in Polish], Tribologia, 1, 9–12, 1993.

K. WIERZCHOLSKI, R. NOWOWIEJSKI, A. MISZCZAK, Numerical Analysis of Synovial Fluid Flow in Biobearing Gap, Proceedings of International Conference System Modelling Control, Conference, 8, 2, 382–387, 1995.

K. WIERZCHOLSKI, S. PYTKO, Analytical calculations for experimental dependences between shear rate and synovial fluid viscosity, Proc. of Internat. Tribology Conference Japan Yokohama, 3, 1975–1980, 1995.

K. WIERZCHOLSKI, Oil velocity and pressure distribution in short journal bearing under Rivlin Ericksen lubrication, SAMS, System Analysis Modelling and Simulations OPA Overseas Publishers. Assoc. N.V., 32, 205–228, 1998.

K. WIERZCHOLSKI, The method of solutions for hydrodynamic lubrication by synovial fluid flow in human joint gap, Control and Cybernetics, 31, 1, 91–116, 2002.

K. WIERZCHOLSKI, Capacity of deformed human hip joint gap in time dependent magnetic field, Acta of Bioengineering and Biomechanics, 5, 1, 43–65, 2003.

K. WIERZCHOLSKI, Pressure distribution in Human Joint Gap for elastic cartilage and time dependent magnetic field, Russian Journal of Biomechanics, Perm, 7, 1, 24–46, 2003.

K. WIERZCHOLSKI, Tribology of human joints [in German], Tribologie and Schmierungstechnik, 5, 5–13, 2002.

DOI: 10.24423/engtrans.433.2005

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