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Advisor(s)
Abstract(s)
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.
Description
Keywords
Power-law fluid Shear-dependent viscosity Reynolds equation Lubrication approximation
Citation
PEREIRA, Bruno M. M.; [et al] – Lubrication approximation for fluids with shear-dependent viscosity. Fluids. ISSN 2311-5521. Vol. 4, N.º 2 (2019), pp. 1-17