Considering the effects of viscous shear stresses, a study of squeeze-film behavior between porous parallel plates with finite width is presented. Based upon the Brinkman model (BM), two general coupled Reynolds equations derived for curved surfaces  are applied to predict the two-dimensional squeeze-film pressure and thereafter the squeeze-film characteristics. The results show that the BM predicts quite different squeeze-film behaviors to those obtained by using the slip-flow model (SFM) and the Darcy model (DM). Comparing with the SFM, the viscous shear effects provide an increase in the load-carrying capacity and lengthen the response time of finite porous squeeze-film plates. However, these trends are reversed as compared to the DM. On the whole, the effects of viscous shear stresses of the BM upon the load-carrying capacity and the response time are more pronounced for the plates tending to be wide.
Lin, Jaw-Ren; Liang, Long-Jin; and Lu, Rong-Fang
"Effects of Viscous Shear Stresses on the Squeeze Films of Porous Parallel Rectangular Plates,"
Journal of Marine Science and Technology: Vol. 12:
2, Article 6.
Available at: https://jmstt.ntou.edu.tw/journal/vol12/iss2/6