Effects of couple stresses and convective inertia forces in parallel circular squeeze‐film plates

Abstract

A theoretical study of the combined effects of non‐Newtonian couple stresses and fluid inertia forces on the squeeze‐film behaviors for parallel circular plates is presented in this paper. Based upon the micro‐continuum theory, the Stokes constitutive equations are used to account for the couple stress effects resulting from the lubricant blended with various additives. The convective inertia forces included in the momentum equation are approximated by the mean value averaged across the fluid film thickness. Numerical solutions for the squeezing film characteristics are presented for various values of couple stress parameter and Reynolds number. Comparing with the classical Newtonian non‐inertia flow, the combined effects of couple stresses and convective inertia forces result in a larger load‐carrying capacity and therefore, increase the response time of the squeezing film plates.

Citation

Lin, J., Lu, R., Liao, W. and Kuo, C. (2004), "Effects of couple stresses and convective inertia forces in parallel circular squeeze‐film plates", Industrial Lubrication and Tribology, Vol. 56 No. 6, pp. 318-323. https://doi.org/10.1108/00368790410558220