Symmetry-Breaking and Bifurcation Study on the Laminar Flows through Curved Pipes with a Circular Cross Section
✍ Scribed by Zhong-hua Yang; Rui-song Ye
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 681 KB
- Volume
- 127
- Category
- Article
- ISSN
- 0021-9991
No coin nor oath required. For personal study only.
✦ Synopsis
symmetric solutions are stable to symmetric disturbances, while the symmetric branch joining them is unstable. They
The Dean problem of steady viscous flow through a coiled circular pipe is studied numerically. We compute the structure of the sym-pointed out that there were unresolved issues including metric families of the flows that exist as the crucial parameter D the possibility of asymmetric solutions and the response varies, which is in accordance with those stated in Yang and Keller to asymmetric disturbances and the effects of curvature.
(Appl. Numer. Math. 2, 257, 1986). Furthermore, we find a asymmet-In this paper, we would like to solve the above issues ric flow emanating from the symmetry-breaking bifurcation point, proposed by Daskopoulos and Lenhoff [3]. We are interwhich they could not find since they restricted the numerical study on the flows symmetric about the x-axis.