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EN
The micropolar fluid theory was applied to answer the question how the microstructure dependence of synovial fluid influences on tribological quantities of biobearing. The squeezing flow of micropolar fluid between two parallel circular plates was considered, as an approximation for the lubrication in the weight bearing synovial joint under conditions where the area of contact is maximum such as in standing and jumping. The generalised Reynolds equation to describe the flow fields was applied. The calculations show that the load bearing capacity and time of approach depend strongly on micrustucture of synovial fluid. Obtained results are in agreement with clinical observations, which indicates that proposed approach based on micropolar fluid mechanics can be applied to modeling of synovial fluid.
EN
In joints, hyaluronic acid protects articular surfaces against the forces formed during motion. As a main component of synovial fluid, it is responsible for its viscosity. Viscosity in turn, is a very important property that characterises a bio-bed operation. Due to the fact that hyaluronic acid determines sliding characteristics of synovia, selected rheological properties of water solutions of this acid were investigated.
3
Content available remote Capacity of deformed human joint gap in time-dependent magnetic field
EN
Analysis of carrying capacity of synovial unsymmetrical fluid flow in deformed, human joint gap, especially in hip joint, is presented. The following assumptions are taken into account: stationary, isothermal and incompressible synovial unsymmetrical fluid flow in time-dependent magnetic field rotation motion of bone head, squeeze of synovial fluid in human joint gap, changeable synovial non-Newtonian fluid viscosity, changeable and deformed gap height in human joint, and constant synovial fluid density. The simplified system of basic equations for pressure and synovial velocity distribution are analysed. Numerical and analytical formulae for capacity force taking into account conjugation fields of the stresses and deformations occurring in elastic cartilage and in synovial fluid obtained by virtue of theory of elasticity and fluid mechanics can be considered as the novely of this paper. Analytical solutions for he values of capacity forces allow easy numerical calculations, which may be very useful for medical diagnosis.
4
Content available remote Liqiud crystalline properties of synovial fluid
EN
The main aim of this paper is to discuss the liquid crystalline concept of synovial fluid. This new concept was proposed by Kupchinov [30] and was next developed in [31, 32, 58]. According to these papers, the crystalline structure of synovia ensures very low friction coefficient in human (and animal) joints. Experimental data in favour of crystalline structure of synovia have been discussed. Mathematical model of such fluid, based on Eringen's theory [14, 15], has been advanced.
EN
Bone and cartilage co-operate in human joint. The gap between their surfaces is filled with synovial fluid. In this case, the solution of the lubrication problem should be based on actual, various geometry of co-operating surfaces of human joint. In this paper we consider a symmetrical flow of synovial fluid between spherical, hyperbolic and parabolic bone surfaces in human joint. In order to study the symmetrical flow of synovial fluid in joint gap, we obtain velocity components and hydrodynamic pressure distributions in final, dimensionless form.
EN
The hydrodynamic lubrication of the human biobearing gap in the orthogonal curvilinear coordinate jystem is described. The axisymmetrical flow in the biobearing gap between two arbitrary rotational )ithogonal curvilinear surfaces with non-monotonic generating line in the longitudinal direction and changeable height of gap is considered. As a particular case the analytical and numerical characteristics of hree components of the fluid velocity vector in the circumferential, radial and meridional directions for changeable biobearing gap height is presented.
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