Author:
Salwen Harold,Grosch Chester E.
Abstract
The stability of Poiseuille flow in a pipe of circular cross-section to azimuthally varying as well as axisymmetric disturbances has been studied. The perturbation velocity and pressure were expanded in a complete set of orthonormal functions which satisfy the boundary conditions. Truncating the expansion yielded a matrix differential equation for the time dependence of the expansion coefficients. The stability characteristics were determined from the eigenvalues of the matrix, which were calculated numerically. Calculations were carried out for the azimuthal wavenumbersn= 0,…, 5, axial wavenumbers α between 0·1 and 10·0 and αR[les ] 50000,Rbeing the Reynolds number. Our results show that pipe flow is stable to infinitesimal disturbances for all values of α,Randnin these ranges.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Reference20 articles.
1. Lessen, M. , Sadler, S. G. & Liu, T. Y. 1968 Phys. Fluids 11,1404.
2. Gill, A. E. 1965 J. Fluid Mech. 21,145.
3. Davey, A. & Drazin, P. G. 1969 J. Fluid Mech. 36,209.
4. Synge, J. L. 1938 Hydrodynamic stability Semi-centennial Publ. Am. Math. Soc. 2,227.
5. Rayleigh, J. W. S. 1892 Phil. Mag. 34,59. (See also 1902 Scientific Papers, vol. III, Cambridge University Press.)
Cited by
106 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