TY - JOUR
T1 - Stability of Dual Solutions of the Flow in a Curved Circular Tube
AU - Yanase, Shinichiro
AU - Goto, Nozomi
AU - Yamamoto, Kyoji
PY - 1988/1/1
Y1 - 1988/1/1
N2 - 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.
AB - 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.
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U2 - 10.1143/JPSJ.57.2602
DO - 10.1143/JPSJ.57.2602
M3 - Article
AN - SCOPUS:6044226293
SN - 0031-9015
VL - 57
SP - 2602
EP - 2604
JO - journal of the physical society of japan
JF - journal of the physical society of japan
IS - 8
ER -