TITLE:
Behaviour of Couple Stress Fluids in Porous Annular Squeeze Films
AUTHORS:
Vimala Ponnuswamy, Sumathi Govindaraj
KEYWORDS:
Squeeze Films, Hydrodynamic Lubrication, Couple Stresses, Non-Newtonian Fluid
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.2 No.6,
May
16,
2014
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.