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Mathematical Modelling and Analysis of Squeeze Film Lubrication in Hip Joint: A Comprehensive Sphere – Plate Model Investigation
  • Mo Sadique,
  • Kshiteendra Mohan Jaiswal,
  • Sapna Ratan Shah
Mo Sadique
Jawaharlal Nehru University School of Computational and Integrative Sciences

Corresponding Author:[email protected]

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Kshiteendra Mohan Jaiswal
Jawaharlal Nehru University School of Computational and Integrative Sciences
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Sapna Ratan Shah
Jawaharlal Nehru University School of Computational and Integrative Sciences
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Synovial joints are the joints that act as excellent bearings under suitable biological conditions. Among them, the hip joint is one of the most essential synovial joints and plays a very vital role in joint movement. These joints have synovial fluid, which acts as a lubrication agent, helps in mobility, and prevents wear and tear. Lubrication is vital to reduce friction between cartilages during activities. A mathematical model for the hip joint squeeze film lubrication action has been represented geometrically by a sphere approaching a flat plate and developed to estimate the pressure distribution, load capacity, and squeeze time film thickness. Finite element stress analysis of the bone-implant system was carried out assuming micro-motion between the stem and the femur. Here, we aimed to study squeeze film lubrication of the hip joint for a Newtonian fluid flow. Lubrication of the human hip joint is the focus of our attention in this paper. Using a modified Reynolds equation, we aim to study squeeze-film lubrication for a Newtonian fluid. It was applied to present the human hip joint's pressure distribution, squeeze time, and load carry capacity in squeeze action. Squeeze film pressure rises when the squeeze velocity of articular cartilages and synovial fluid increases. Squeeze time is affected by the thickness of the articular cartilage. The squeeze film traits may be critical in determining the presence of sick synovial joint diseases. The early identification of joint illness and the creation of biomedical implants can benefit from research on synovial fluid and articular cartilage characteristics. Squeeze film alterations can signify joint disease, with changes in synovial fluid composition or viscosity suggesting rheumatoid arthritis and osteoarthritis. We may infer that an increase in pressure leads to a diseased condition in which the human hip joint is less flexible. As a result, it is possible to conclude that exercise increases the human hip joint's capacity to hold weights, whereas illness diminishes it.
20 Oct 2023Submitted to Mathematical Methods in the Applied Sciences
20 Oct 2023Assigned to Editor
20 Oct 2023Submission Checks Completed
27 Oct 2023Review(s) Completed, Editorial Evaluation Pending
27 Oct 2023Reviewer(s) Assigned