On the Frequency Response of Viscous Compressible Fluids as a Function of the Stokes Number

Abstract

Air, carbon dioxide, and helium test data are presented for the experimental verification of Iberall’s analysis of the dynamic pressure response of viscous compressible fluids in rigid tubes with deadened volume termination against oscillatory frequency. A graphical display is given of numerical solutions of Iberall’s theory over a wide range as a function of the Stokes number and of a dimensionless frequency. Rapid engineering solutions are presented for the following problems: Given a tube, a chamber volume, and a fluid, determine the maximum frequency to be transmitted at ±10 percent amplitude distortion. Given a tube, a chamber volume, and a fluid, sketch the dynamic pressure response curve. Given a chamber volume, a fluid, and a specified frequency to be transmitted within ±10 percent amplitude distortion, plot allowable tube length against tube diameter.