Lucas Wavelet Analysis of the Squeeze Film Characteristics between a Sphere and a Flat Plate of Couple Stress Fluid Model

Authors

  • Prof. S. C. Shiralashetti Department of Mathematics, Karnatak University, Dharwad-580003, Karnataka, India
  • A. M. Sangolli Department of Mathematics, Karnatak University, Dharwad-580003, Karnataka, India
  • Vatsala N. T. Department of Mathematics, Karnatak University, Dharwad-580003, Karnataka, India

Keywords:

Lucas wavelet, Squeeze film, Couple stress fluid model, Microcontinuum theory, Sphere and plate

Abstract

This study presents a numerical examination of the influence of couple stresses on the squeeze film behavior between a sphere and a flat plate, grounded in microcontinuum theory.  The revised Reynolds equation that regulates the squeezing film pressure is formulated by employing the Stokes constitutive equations to incorporate the couple stress effects resulting from the lubricant mixed with distinct additives. Lucas wavelet based numerical scheme is developed for the numerical solution of the governing modified Reynolds equation. The numerical solution indicates that the presence of couple stresses results in an increase in the film pressure. Overall, the effects of couple stress, as defined by the couple stress parameter, lead to an enhancement in the load-carrying capacity when compared to the traditional Newtonian-lubricant scenario. The characteristics of the squeeze film in the system are enhanced.

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Published

19-02-2026

How to Cite

Shiralashetti, P. S. C., Sangolli, A., & N. T., V. . (2026). Lucas Wavelet Analysis of the Squeeze Film Characteristics between a Sphere and a Flat Plate of Couple Stress Fluid Model . Communications in Mathematics and Applications, 16(3). Retrieved from https://www.rgnpublications.com/journals/index.php/cma/article/view/3267

Issue

Vol. 16 No. 3 (2025)

Section

Research Article

License

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