Two-dimensional linear stability of dual solutions, two-vortex and four-vortex solutions, of the flow through a slightly curved tube is investigated numerically by the Fourier-Chebyshev spectral method in the range 96≤Dn≤ 10000, where Dn is the Dean number which characterizes laminar flow through a curved tube. It is found that a two-vortex solution is stable with respect to any small disturbances. A four-vortex solution, which appears when Dn≤956, is unstable to an asymmetric disturbance.
ASJC Scopus subject areas
- Physics and Astronomy(all)