Abstract
We consider the flow of a compressed Newtonian fluid in a biological bearing that has a porous wall, i.e., in a hip joint. The system is modeled by two curvilinear surfaces and a porous wall bounded by a curved impermeable surface. The flow in the gap is considered with account for inertia forces. The Navier–Stokes and Poisson equations used are separated with the aid of the Morgan‐Cameron approximation. A solution which relies on the averaging of inertia forces is obtained in a closed form. A bearing of spherical shape is considered as an example.
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Valitskaya, A., Makhanek, A.A. & Gubarev, S.A. Effect of Liquid Inertia and Wall Porosity on the Process of Momentum Transfer in a Biobearing With Injection of a Lubricant. Journal of Engineering Physics and Thermophysics 74, 839–844 (2001). https://doi.org/10.1023/A:1016709806232
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DOI: https://doi.org/10.1023/A:1016709806232