INVESTIGATION OF THE STABILITY FOR INVISCID COMPRESSIBLE SWIRLING FLOW BETWEEN CONCENTRIC CYLINDERS

Applied Mathematics and Mechanics (English Edition) ›› 1988, Vol. 9 ›› Issue (7): 667-679.

INVESTIGATION OF THE STABILITY FOR INVISCID COMPRESSIBLE SWIRLING FLOW BETWEEN CONCENTRIC CYLINDERS

夏南, 尹协远

Department of Modern Mechanics, University of Science and Technology, Hefei

收稿日期:1987-04-07 出版日期:1988-07-18 发布日期:1988-07-18

INVESTIGATION OF THE STABILITY FOR INVISCID COMPRESSIBLE SWIRLING FLOW BETWEEN CONCENTRIC CYLINDERS

Xia Nan, Yin Xie-yuan

Department of Modern Mechanics, University of Science and Technology, Hefei

Received:1987-04-07 Online:1988-07-18 Published:1988-07-18

摘要/Abstract

摘要： The temporal stability on inviscid compressible swirling flow between two concentric cylinders is investigated. First, a linearized differential equation is derived. Two stability criteria are derived for compressible swirling flow by an analytic method analogous to Ludwieg ’s method. A finite-difference numerical method is then used to solve the eigenvalue problem of this differential equation, to get temporal growth rate and to check these stabilitv criteria derived. Finally.The effect of compressibility for stability is disscused.

关键词: induced magnetic field, vertical symmetric channel, Johnson-Segalman fluid, magnetohydrodynamics (MHD)

Abstract: The temporal stability on inviscid compressible swirling flow between two concentric cylinders is investigated. First, a linearized differential equation is derived. Two stability criteria are derived for compressible swirling flow by an analytic method analogous to Ludwieg ’s method. A finite-difference numerical method is then used to solve the eigenvalue problem of this differential equation, to get temporal growth rate and to check these stabilitv criteria derived. Finally.The effect of compressibility for stability is disscused.

Key words: induced magnetic field, vertical symmetric channel, Johnson-Segalman fluid, magnetohydrodynamics (MHD)

夏南;尹协远. INVESTIGATION OF THE STABILITY FOR INVISCID COMPRESSIBLE SWIRLING FLOW BETWEEN CONCENTRIC CYLINDERS[J]. Applied Mathematics and Mechanics (English Edition), 1988, 9(7): 667-679.

Xia Nan;Yin Xie-yuan. INVESTIGATION OF THE STABILITY FOR INVISCID COMPRESSIBLE SWIRLING FLOW BETWEEN CONCENTRIC CYLINDERS[J]. Applied Mathematics and Mechanics (English Edition), 1988, 9(7): 667-679.

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INVESTIGATION OF THE STABILITY FOR INVISCID COMPRESSIBLE SWIRLING FLOW BETWEEN CONCENTRIC CYLINDERS

INVESTIGATION OF THE STABILITY FOR INVISCID COMPRESSIBLE SWIRLING FLOW BETWEEN CONCENTRIC CYLINDERS

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