Combined effect of magneto hydrodynamics, couple stress, and viscosity variation on squeeze film characteristics of a cylinder and rough flat plate

Abstract

Abstract The present research theoretically analyzes the impact of magnetohydrodynamics (MHD) and viscosity variation on couple stress squeeze film properties of a cylinder and a rough planar surface. The generalized stochastic Reynolds flow equation is derived by utilizing Stokes flow theory and Christensen's stochastic flow model. The solutions for pressure, load-carrying capability, and squeeze film time for longitudinal and transverse roughness patterns are derived and illustrated graphically to examine the impacts of MHD, couple stress, and viscosity variation factors. The results reveal that, in comparison with the smooth case, the one-dimensional longitudinal (transverse) roughness pattern decreases (enhances) the pressure, squeeze film time, and load-carrying capability. The numerical comparative results between Sreekala et al. (Lect Notes Electr Eng 928:765–774, 2023) analysis and the current analysis are performed and found excellent agreement.

Keywords

• Pressure
• Load-carrying capability
• Couple stress
• Transverse roughness pattern
• Squeeze film time
• Longitudinal roughness pattern