Abstract:

This study deals with the analytical investigation of oscillatory squeeze film flow through a Brinkman viscoelastic Oldroyd-B fluid-saturated porous layer subject to two vertically harmonically oscillatory disks. The validity of the present proposed analytical solutions is first demonstrated for the Newtonian fluids when both Λ₁ and Λ₂ tend to zero by comparison with the previous literature. Results demonstrate that an increase in the elasticity parameter Λ₁ correlates with a rise in axial velocities, indicating that the relaxation time Λ₁ facilitates enhanced squeeze flow. In the case of squeeze film flow in porous layers, low oscillating frequencies exert minimal effects on axial velocities, independent of variations in the viscoelasticity parameter Λ₁. However, at higher oscillating frequencies, axial velocities escalate with increasing the viscoelasticity parameter Λ₁. Furthermore, the retardation time Λ₂ of the viscoelastic fluid shows no significant effect on the axial velocity, regardless of oscillating frequency changes in both pure fluids and porous layers.

Key words: Oldroyd-B fluid, squeeze flow, porous media, oscillating boundary