Lubrication approximation for fluids with shear-dependent viscosity
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 po...
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| Other Authors: | , , , |
| Format: | article |
| Language: | eng |
| Published: |
2019
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| Subjects: | |
| Online Access: | http://hdl.handle.net/10400.21/10387 |
| Country: | Portugal |
| Oai: | oai:repositorio.ipl.pt:10400.21/10387 |
| Summary: | 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. |
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