Behaviour of Couple Stress Fluids in Porous Annular Squeeze Films

DOI: 10.4236/jamp.2014.26042   PDF   HTML     2,881 Downloads   3,837 Views   Citations

Abstract

The laminar squeeze flow of an incompressible couple stress fluid between porous annular disks is studied using hydrodynamic lubrication theory. The modified Reynolds’ equation is derived using Stokes microcontinuum theory and is solved analytically. Analytical expressions for the squeeze film pressure and the load carrying capacity are obtained in terms of Fourier-Bessel series. Numerical results are obtained for the sinusoidal motion of the upper disk. The effect of couple stresses and that of porous facing on the squeeze film behaviour are analysed through the squeeze film pressure and the load carrying capacity. Further, the equation for the gap width between the disks is obtained from the inverse problem.

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Ponnuswamy, V. and Govindaraj, S. (2014) Behaviour of Couple Stress Fluids in Porous Annular Squeeze Films. Journal of Applied Mathematics and Physics, 2, 349-358. doi: 10.4236/jamp.2014.26042.

Conflicts of Interest

The authors declare no conflicts of interest.

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