对流动稳定性非线性理论中确定幅值演化方程系数的重新考虑*
The Re-Examination of Determining the Coefficient of the Amplitude Evolution Equation in the Nonlinear Theory of the Hydrodynamic Stability
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摘要: 求解扰动速度幅值的演化规律,是流动稳定性非线性理论的关键问题之一。现有的方法都只能用于准中性的情况,或其中有一定的人为因素。本文将给出解决这一问题新方法。Abstract: One of the key problems in the nonlinear theory qf the hydrodynamic stability is to determine the law of the evolution of the disturbance velocity amplitude. The methods, which have been obtained, can only be used for quasi-neutral flow and have some artificial factors. In this paper, a method is proposed for this problem.
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[1] Reynolds,W.C.and M.C.Potter,Finite amplitude instability of parallel shear flows,J.F.M.,27(1967),465-492. [2] Iton,N.,SlSatial growth of finite wave disturbances in parallel and nearly parallel flows,Part I.Theoreti,cal analysis and the numerical results for plane Poiseuille flow,Trans.Japan Soc.Aero.Space Sci.,17(1974),160-174. [3] Itoh,N.,Nonlinear stability of parallel flows with subcritical Reynolds.number,Part 1.An asymptotic theory valid for small amplitude disturbances,J.F.M.,89.(1977),455-467. [4] Davey,A.,On Itoh's finite amplitude stability theory for pipe flow,J.F.M..86(1978),695-703. [5] Zhou,H.,On the nonlinear theory of stability of plane Poiseuille flow in subcritical range,Proc.Soc.Roy.Lond.,A,318(1982),407-418. [6] Herbert,T.,On perturbation methods in nonlinear stability theory,J.F.M.,126(1983),167-186.
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