Authors:
S. C. Shiralashetti,Vatsala N. T.,DOI NO:
https://doi.org/10.26782/jmcms.2026.04.00005Keywords:
Sine cosine wavelet operational matrix of integration (SCWOMI),Poroelastic Squeeze film,longitudinal roughness,transverse roughness,Finite difference method.,Abstract
The squeeze film behaviour of poroelastic bearings with rough surfaces and couple stress fluids is studied using a simplified model in which the action of the couple stress synovial fluid in lubricating the hip joint is examined. The articular cartilage. The layer is modelled as a biphasic poroelastic matrix material. A modified average Reynolds equation is derived, which accounts for the couple stress effects, random surface roughness, and the elastic nature of the cartilage-bearing surface. Two types of one-dimensional random roughness patterns, longitudinal roughness and transverse roughness, are presented using Christensen's stochastic theory. By using a domain transformation, the reduced governing equations can be mapped onto the unit square and solved numerically using the sine-cosine wavelet operational matrix of integration method. Uniqueness, uniform convergence, convergence of the partial sums to the exact function, and commutation of the integration and limit operations are guaranteed by proving some properties of the wavelet approximation. The numerical results indicate that, although couple stresses can improve the performance of the joint as a whole, the effect on the squeeze film performance of surface roughness must be considered, depending on the patterns of surface roughness. The wavelet-based method proposed in this paper is accurate and efficient.Refference:
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