The Damping of Large Amplitude Vibrations of a Fluid in a Pipe

Helmholtz and Kirchhoff developed a theory for the damping in space of the small amplitude vibrations of a fluid in a rigid cylindrical tube. Their work assumes laminar motion, and gives values which are very low for moderate and large pressure amplitudes. The present paper modifies the Helmholtz-Kirchhoff theory by the addition of an eddy viscosity term. This modified theory gives fair agreement with measured values of the damping of large pressure amplitudes for air and carbon dioxide.