Squeeze-film Lubrication of the Human Ankle Joint: a Simplified Analytical Model during Walking
نویسندگان
چکیده
The aim of this paper is to propose an analytical approximate squeeze-film lubrication model of the human ankle joint for a quick assessment of the synovial pressure field and the load carrying due to the squeeze motion, considering both normal and pathological behaviour. The model starts from the theory of boosted lubrication for the human articular joints lubrication (Walker, et al., 1968; Maroudas, 1969) and takes into account the fluid transport across the articular cartilage using the Darcy’s equation to depict the synovial fluid motion through a porous cartilage matrix. The human ankle joint has been assumed as cylindrical enabling motion in the sagittal plane only. The proposed model is based on a modified Reynolds equation; its integration allows obtaining a quick assessment on the synovial pressure field showing a good agreement with those obtained numerically by other Authors (Hlavacèk, 2000). The analytical integration allows the closed form description of the synovial fluid film force and the calculation of the gap thickness.
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