Lubrication Approximation for Fluids with Shear-Dependent Viscosity Academic Article uri icon


  • © 2019 by the authors. Licensee MDPI, Basel, Switzerland. We present dimensionally reduced Reynolds type equations for steady lubricating flows of incompressible non-Newtonian fluids with shear-dependent viscosity by employing a rigorous perturbation analysis on the governing equations of motion. Our analysis shows that, depending on the strength of the power-law character of the fluid, the novel equation can either present itself as a higher-order correction to the classical Reynolds equation or as a completely new nonlinear Reynolds type equation. Both equations are applied to two classic problems: the flow between a rolling rigid cylinder and a rigid plane and the flow in an eccentric journal bearing.

author list (cited authors)

  • Pereira, B., Dias, G., Cal, F. S., Rajagopal, K. R., & Videman, J. H.

citation count

  • 1

publication date

  • May 2019

published in