On the Linear Stability of Jeffery-Hamel Flow in a Convergent Channel
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概要
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The linear stability of Jeffery-Garnet inflow profiles is investigated on the basisof quasi-parallel theory. It is found that the critical Reynolds number 7?. increasesmonotonically as the shear stress at the wall r- increases and even a very smallangle between the walls of a channel has a remarkable stabilizing effect. Thecritical phase velocity c. reaches an asymptotic value of 0.1844 as m.-+c<c. Com-parison of neutral stability curves from the Jeffery-Hamel flow and the twodimensional inlet flow is also discussed. Two kinds of approximations are madeto asymptotic viscous solutions of the Orr-Sommerfeld equation, and the stabilitycharacteristics based on these approximations are compared with an exact solutionobtained by using the step-by-step integrating procedure.
- 社団法人日本物理学会の論文
- 1982-06-15
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