Abstract
A linear analysis of the perturbations associated with the jet flow, $\overline{u}(y) = {\rm sech}\,y$, of an inviscid compressible fluid is considered. Some subsonic stable solutions, not associated with stability boundaries, are first determined. Then a subsonic neutral solution is found and used as an aid in determining stability boundaries of the symmetric and antisymmetric disturbance modes. Numerical methods are also used to determine instability characteristics, including the Reynolds stress distributions. Comparisons are made with previous results obtained for the hyperbolic-tangent velocity profile and with unstable characteristics of the Bickley jet.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Reference4 articles.
1. Drazin, P. G. & Howard, L. N. 1966 Hydrodynamic stability of parallel flow of inviscid fluid. Advances in Applied Mechanics , vol. 9.Academic.
2. Lees, L. & Lin, C. C. 1946 Investigation of the stability of the laminar boundary layer in a compressible fluid.NACA TN, no. 1115.
3. Erdelyi, A. , Magnus, W. , Oberhettinger, F. & Tricomi, F. G. 1953 Higher Transcendental Functions , vol. i, chapter III. Bateman Manuscript Project.McGraw Hill.
4. Blumen, W. 1970 Shear layer instability of an inviscid compressible fluid J. Fluid Mech. 40,769–81.
Cited by
15 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献