Journal of the Physical Society of Japan
Online ISSN : 1347-4073
Print ISSN : 0031-9015
ISSN-L : 0031-9015
On the Linear Stability of Jeffery-Hamel Flow in a Convergent Channel
Kaoru Fujimura
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1982 年 51 巻 6 号 p. 2000-2009

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The linear stability of Jeffery-Hamel inflow profiles is investigated on the basis of quasi-parallel theory. It is found that the critical Reynolds number Rc increases monotonically as the shear stress at the wall τw increases and even a very small angle between the walls of a channel has a remarkable stabilizing effect. The critical phase velocity cc reaches an asymptotic value of 0.1844 as τw→∞. Comparison of neutral stability curves from the Jeffery-Hamel flow and the two dimensional inlet flow is also discussed. Two kinds of approximations are made to asymptotic viscous solutions of the Orr-Sommerfeld equation, and the stability characteristics based on these approximations are compared with an exact solution obtained by using the step-by-step integrating procedure.
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