Two-Dimensional Reynolds Equation for Squeeze Film Lubrication Between Wide Parallel Rectangular Plates with the Effect of Magnetic Field and Micro – Polar Fluid

• Published in: International journal of applied and computational mathematics Vol. 11; no. 3
• Main Authors: Asha, B. S., Shivakumar, H. M., Hanumagowda, B. N., Brinda, H., Vasanth, K. R.
• Format: Journal Article
• Language: English
• Published: New Delhi Springer India 01.06.2025; Springer Nature B.V
• Subjects: Applications of Mathematics; Aspect ratio; Bearing strength; Compressing; Computational Science and Engineering; Coupling; Electrons; Hartmann number; Load carrying capacity; Lubricants; Lubricants & lubrication; Magnetic fields; Magnetohydrodynamics; Mathematical analysis; Mathematical and Computational Physics; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Mechanical systems; Micropolar fluids; Nuclear Energy; Operations Research/Decision Theory; Original Paper; Pressure distribution; Rectangular plates; Reynolds equation; Squeeze films; Theoretical; Parallel plates; Magnetohydrodynamics; Aspect ratio; Squeeze film; Micropolar fluids; Hartmann number
• ISSN: 2349-5103; 2199-5796
• DOI: 10.1007/s40819-025-01910-0

A thorough mathematical analysis of the behaviour of squeezing films made of a micropolar fluid lubricant is the aim of this work. A transverse magnetic field positions these films between wide parallel rectangular plates. The equations that govern the system have been developed. These include micropolar fluid theory and magnetohydrodynamics (MHD). The analytically obtained modified Reynolds equation was solved to determine the pressure distribution in the film area. The derived expressions were then used to assess bearing characteristics, including load-carrying capacity and squeezing time. The theory of hydromagnetic flow is employed to examine the impact of MHD variables on the squeezing behaviour of micropolar fluids on smooth surfaces. The lubricating features concerning the micropolar fluid, Hartmann number, fluid gap number, coupling number, and aspect ratio factors are analysed. In comparison to a classical case, the presence of a magnetic field and micropolar fluid results in enhanced bearing characteristics. The enhanced characteristics become increasingly apparent with the rise in the Hartmann number, fluid gap number, and coupling number. The overall efficiency of the bearing improves as the Hartmann number, fluid gap number, and coupling number increase. The interaction between MHD effects and micropolar lubricants offers significant opportunities for engineering advancements and introduces effective methods for improving the efficiency of diverse mechanical systems.