Wave motion of a compressible viscous fluid contained in a cylindrical shell
- General Electric Co., San Jose, CA (United States). GE Nuclear Energy
The free vibration of cylindrical shells filled with a compressible viscous fluid has been studied by numerous workers using the linearized Navier-Stokes equations, the fluid continuity equation, and Fluegge's equations of motion for thin shells. It happens that solutions can be obtained for which the interface conditions at the shell surface are satisfied. Formally, a characteristic equation for the system eigenvalues can be written down, and solutions are usually obtained numerically providing some insight into the physical mechanisms. In this paper, the authors modify the usual approach to this problem, use a more rigorous mathematical solution and limit the discussion to a single thin shell of infinite length and finite radius, totally filled with a viscous, compressible fluid. It is shown that separable solutions are obtained only in a particular gage, defined by the divergence of the fluid velocity vector potential, and the solutions are unique to that gage. Numerical results are obtained for the first few wave modes of a large shell, which illustrate the general approach to the solution. The wave phase velocity is related to the real part of the axial wave number and turns out to be independent of frequency, with numerical value lying between the sonic velocities in the fluid and the shell. The frequency dependencies of these parameters and fluid velocity mode shapes are computed for a typical case and displayed in nondimensional graphs.
- OSTI ID:
- 6071701
- Journal Information:
- Journal of Pressure Vessel Technology; (United States), Journal Name: Journal of Pressure Vessel Technology; (United States) Vol. 115:3; ISSN JPVTAS; ISSN 0094-9930
- Country of Publication:
- United States
- Language:
- English
Similar Records
Dynamics of a cylindrical shell system coupled by viscous fluid
Dynamics of two coaxial cylindrical shells containing viscous fluid