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
Kshiteendra Mohan Jaiswal
Jawaharlal Nehru University School of Computational and Integrative Sciences
Author ProfileSapna Ratan Shah
Jawaharlal Nehru University School of Computational and Integrative Sciences
Author ProfileAbstract
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.