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A NECESSARY MODIFICATION FOR THE AMPLITUDE EQUATION OF THE WEAKLY NONLINEAR THEORY OF HYD ROD YNAMIC STABILITY 被引量:1

A NECESSARY MODIFICATION FOR THE AMPLITUDE EQUATION OF THE WEAKLY NONLINEAR THEORY OF HYD ROD YNAMIC STABILITY
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摘要 Ⅰ. THE RE-EXAMINATION OF AMPLITUDE EQUATIONThe Landau-Stuart type amplitude equation of the weakly nonlinear theory has been widely used in the theory of hydrodynamic stability and other fields. However, close examination reveals that for the cases as the transition in a boundary layer and plane Poiseuille flow,
作者 周恒
出处 《Chinese Science Bulletin》 SCIE EI CAS 1991年第5期372-376,共5页
基金 Project supported by the National Natural Science Foundation of China.
关键词 AMPLITUDE equation WEAKLY nonlinear theory. AMPLITUDE EQUATION WEAKLY NONLINEAR THEORY
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同被引文献8

  • 1周恒,赵耕夫.К-Б方法在流动稳定性问题中的应用[J]力学学报,1982(03).
  • 2Fujimura K.The equivalence between two perturbation methods in weakly non-linear stability theory for parallel shear flows. Proceedings of the Royal Society of London . I989
  • 3Itoh N.Spatial growth of finite wave disturbances in parallel and nearly parallel flows, Part 1 Theoretical analysis and the numerical results for plane Poiseuille flow. Tran Japan Soc Aero Space Sci . 1974
  • 4Herbert,T.On perturbation methods in nonlinear stability theory. Journal of Fluid Mechanics . 1983
  • 5Zhou,H,You,X.Weakly nonlinear theory of hydrodynamic stability revisited. Science in China . 1992
  • 6Zhou H.1982, On the nonlinear theory of stability of plane Poiseuille flow in the subcritical range, Pro. Roy. Soc. Lond .
  • 7Fujimura,K.Methods of center manifold and multiple scales in the theory of weakly nonlinear stability for fluid motions. Proceedings of the Royal Society of London . 1991
  • 8Stuart JT.On the non-linear mechanics of wave disturbances in stable, unstable parallel flows. Part 1. The basic behaviour in plane Poiseuille flow. Journal of Fluid Mechanics . 1960

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