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

作　　者：Yongjun JIAN 

机构地区：[1]School of Mathematics and Statistics,Donghua University,Shanghai,201620,China [2]Institute for Nonlinear Science,Donghua University,Shanghai,201620,China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2024年第11期2037-2054,共18页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(No.12262026);the Natural Science Foundation of the Inner Mongolia Autonomous Region of China(No.2021MS01007);the Program for Innovative Research Team in Universities of Inner Mongolia Autonomous Region of China(No.NMGIRT2323);the Fundamental Research Funds for the Central Universities(Nos.2232022G-13,2232023G-13,and 2232024G-13)。

摘　　要：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 bothΛ_(1)andΛ_(2)tend to zero by comparison with the previous literature.Results demonstrate that an increase in the elasticity parameterΛ_(1)correlates with a rise in axial velocities,indicating that the relaxation timeΛ_(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 parameterΛ_(1).However,at higher oscillating frequencies,axial velocities escalate with increasing the viscoelasticity parameterΛ_(1).Furthermore,the retardation timeΛ_(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.

关 键 词：Oldroyd-B fluid squeeze flow porous media oscillating boundary 

分 类 号：O35[理学—流体力学]