Abstract
In the present work, the stability of Poiseuille flow of a second-grade incompressible Rivlin-Ericksen fluid in a circular cylinder is investigated by employing a linear analysis for cross sectional perturbations imposed on the known base flow. The perturbations were expanded in Fourier modes in the circumferential direction. This well-known method has been used for several classical problems in hydrodynamic stability, such as the Rayleigh-Taylor, Kelvin-Helmholtz and Taylor-Couette problems.
| Original language | English |
|---|---|
| Pages (from-to) | 221-227 |
| Number of pages | 7 |
| Journal | Bulletin of the Technical University of Istanbul |
| Volume | 51 |
| Issue number | 3 |
| Publication status | Published - 1999 |
Keywords
- Flows in cylinders
- Linear stability
- Non-Newtonian fluids
- Poiseuille flow
- Second grade fluids