Effect of concentration dependence of viscosity on squeeze film lubrication

Poosan Muthu 1  and Vanacharla Pujitha 1
  • 1 Department of Mathematics, National Institute of Technology, 506004, Warangal, India
Poosan Muthu
  • Corresponding author
  • Department of Mathematics, National Institute of Technology, Warangal, 506004, Telangana, India
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and Vanacharla Pujitha
  • Department of Mathematics, National Institute of Technology, Warangal, 506004, Telangana, India
  • Search for other articles:
  • degruyter.comGoogle Scholar

Abstract

The influence of concentration of solute particles on squeeze film lubrication between two poroelastic surfaces has been analyzed using a mathematical model. Newtonian viscous fluid is considered as a lubricant whose viscosity varies linearly with concentration of suspended solute particles. Convection-diffusion model is proposed to study the concentration of solute particles and is solved using finite difference method of Crank–Nicolson scheme. An iterative procedure is used to get the solution for concentration, pressure and velocity components in film region. It has been observed that load carrying capacity decreases as the concentration of solute particles in the fluid film decreases. Further, the concentration of suspended solute particles decreases as the permeability of the poroelastic plate increases and these results may be useful in understanding the mechanism of human joint.

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