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Comparison between impulsive and periodic non-Newtonian lubrication of human hip joint

Wierzcholski K. Ch.

Engineering Transactions

2005

Vol. 53, iss. 1

69-114

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.

The method of solution for hydrodynamic lubrication by synovial fluid flow in human joint gap

Wierzcholski K.

Control and Cybernetics

2002

Vol. 31, no 1

91-116

The paper shows a method of solution of systems of partial differential non-linear, second order equations for synovial axial-symmetrical and unsymmetrical fluid flow in curvilinear orthogonal coordinates between two bone surfaces in human joint gap. Theorems are formulated, describing unification method of solutions of partial differential non-linear equations of synovial fluid flow.