Effects of shear-thinning/thickening nature on the stability of Couette-like flow with uniform crossflow. (English) Zbl 1346.76006
Summary: The linear stability of wall-injected pressure-driven Couette-like flow in power-law fluids is studied. Previous study on this kind of flow for Newtonian fluids by F. Nicoud and J. R. Angilella [“Effects of uniform injection at the wall on the stability of Couette-like flows”, Phys. Rev. E 56, 3000–3009 (1997; doi:10.1103/physreve.56.3000)] was extended to power-law fluids to understand the effects of shear-thinning/thickening nature on the flow stability. A related expression between the critical cross-flow Reynolds Gap5 number for Newtonian fluids and that for power-law fluids is obtained as the streamwise Reynolds number is large enough based on numerical computations, and verified theoretically in the case of a limiting condition with the power-law index.
MSC:
| 76A05 | Non-Newtonian fluids |
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