Oscillatory squeeze flow through an Oldroyd-B fluid-saturated porous layer

• Published in: Applied mathematics and mechanics Vol. 45; no. 11; pp. 2037 - 2054
• Main Author: Jian, Yongjun
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2024; Springer Nature B.V; School of Mathematics and Statistics,Donghua University,Shanghai 201620,China; Institute for Nonlinear Science,Donghua University,Shanghai 201620,China
• Edition: English ed.
• Subjects: Applications of Mathematics; Classical Mechanics; Exact solutions; Fluid flow; Fluid- and Aerodynamics; Mathematical analysis; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Newtonian fluids; Parameters; Partial Differential Equations; Relaxation time; Squeeze films; Viscoelastic fluids; Viscoelasticity; squeeze flow; 76A10; oscillating boundary; O373; 44A10; Oldroyd-B fluid; 76S05; porous media; O357.1
• ISSN: 0253-4827; 1573-2754
• DOI: 10.1007/s10483-024-3181-8

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 Λ 1 and Λ 2 tend to zero by comparison with the previous literature. Results demonstrate that an increase in the elasticity parameter Λ 1 correlates with a rise in axial velocities, indicating that the relaxation time Λ 1 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 Λ 1 . However, at higher oscillating frequencies, axial velocities escalate with increasing the viscoelasticity parameter Λ 1 . Furthermore, the retardation time Λ 2 of the viscoelastic fluid shows no significant effect on the axial velocity, regardless of oscillating frequency changes in both pure fluids and porous layers.