Lubrication approximation for fluids with shear-dependent viscosity

• Autor(a) principal: Pereira, Bruno M. M.
• Data de Publicação: 2019
• Outros Autores: Dias, Gonçalo A. S., Cal, Filipe S., Rajagopal, Kumbakonam R., Videman, Juha H.
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
• Texto Completo: http://hdl.handle.net/10400.21/10387
• topic: Power-law fluid; Shear-dependent viscosity; Reynolds equation; Lubrication approximation

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.