Abstract
The paper describes an investigation of the internal waves that are produced in a stratified fluid having constant Brunt—Väisälä frequency by a cylinder which executes small vibrations at a lower frequency. Explicit solutions are found for slender cylinders having arbitrary cross-sections. When the cross-sectional area of the cylinder varies with time it is found necessary in calculating the surface pressures and power output to take account of terms in the governing equations that are significant only at distances from the cylinder comparable to or larger than the scale height of the density variations. For this case a simple expression for the power output is obtained in terms of the rate of change of the cross-sectional area of the cylinder.When the vibrating cylinder is rigid its cross-sectional area is independent of time and then the expression for the power output is very similar to von Kármán's expression for the drag of a body of revolution in supersonic flow.In both the above cases it is found that one quarter of the power is radiated in each of the four directions that are inclined at a particular angle to the horizontal.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Reference8 articles.
1. Townsend, A. A. 1966 J. Fluid Mech. 24,307.
2. Sears, W. R. (ed.)1954 General Theory of High Speed Aerodynamics .Princeton University Press.
3. Mowbray, D. E. & Rarity, B. S. H. 1967 J. Fluid Mech. 28,1.
4. Carrier, G. F. , Krook, M. & Pearson, C. E. 1966 Functions of a Complex Variable .New York:McGraw-Hill.
5. Tolstoy, I. 1963 Rev. Mod. Phys. 35,216.
Cited by
29 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