書誌事項
- 公開日
- 1974-06-19
- 権利情報
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- https://www.cambridge.org/core/terms
- DOI
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- 10.1017/s0022112074002424
- 公開者
- Cambridge University Press (CUP)
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説明
<jats:p>We expand the equations describing plane Poiseuille flow in Fourier series in the co-ordinates in the plane parallel to the bounding walls. There results an infinite system of equations for the amplitudes, which are functions of time and of the cross-stream co-ordinate. This system is drastically truncated and the resulting set of equations is solved accurately by a finite difference method. Three truncations are considered: (I) a single mode with dependence only on the downstream co-ordinate and time, (II) the mode of (I) plus its first harmonic, (III) a single three-dimensional mode. For all three cases, for a variety of initial conditions, the solutions evolve to a steady state as seen in a particular moving frame of reference. No runaways are encountered.</jats:p>
収録刊行物
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- Journal of Fluid Mechanics
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Journal of Fluid Mechanics 64 (2), 319-346, 1974-06-19
Cambridge University Press (CUP)