非定常修正下平面Poiseuille流动的线性稳定性性质
The Linear Stability of PSane Poiseuille Flow under Unsteady Distortion
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摘要: 本文在文[1]的基础上,用多重尺度法进一步研究了在非定常修正剖面作用下平面Poiseuille流动的线性稳定性性质,发现文[1]所给出的修正剖面在扰动发展的初期,在一定条件下会促进扰动的发展,从而增大流动失稳的可能性.
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关键词:
- 流体流动 /
- 稳定性 /
- 非定常 /
- 平面Poiseuille流 /
- 多重尺度法
Abstract: This paper investigates the linear stability behaviour of plane Poiseuille flow under unsteady distortion by multiscale perturbation method and discusses further the problem proposed by paper [1]. The results show that in the initial period of disturbance development, the distortion profiles presented by paper [1] will make the disturbances grow up, thus augmenting the possibility of instability.-
Key words:
- fluid flow /
- stability /
- unsteady /
- plane Poiseuille flow /
- multiple scale method
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[1] 周哲玮,经过修正的层流流动的流动稳定性问题(Ⅰ),(Ⅱ),(Ⅲ),应用数学和力学.10,2,3,4(1989). [2] 周哲玮,经过修正的平面Couette流的性非线稳定性研究,应用数学和力学,12,5(1991) -
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