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On the stability of distorted laminar flow(III)—The nonlinear stability analysis of distorted parallel shear flow

Name: On the stability of distorted laminar flow(III)—The nonlinear stability analysis of distorted parallel shear flow
Creator: Zhou Zhe-wei
Keywords: 0203 mechanical engineering, 0103 physical sciences, 0211 other engineering and technologies, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, 01 natural sciences

descriptionPublicationkeyboard_double_arrow_right Article , Journal 01 Mar 1989Publisher:Springer Science and Business Media LLCJournal:Applied Mathematics and Mechanics, volume 10, pages 297-307 (issn: 0253-4827, eissn: 1573-2754,

Authors: Zhou Zhe-wei;

doi: 10.1007/bf02017770 , 10.1007/bf02014618

On the stability of distorted laminar flow(III)—The nonlinear stability analysis of distorted parallel shear flow

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Abstract

Based on the hydrodynamic stability theory of distorted laminar flow and the kind of distortion profiles on the mean velocity in parallel shear flow given in paper [1], this paper investigates the linear stability behaviour of parallel shear flow, presents unstable results of plane Couette flow and pipe Poiseuille flow to two-dimensional or axisymmetric disturbances for the first time, and obtains neutral curves of these two motions under certain definition.

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