Wave propagation in rigid cylindrical tubes with viscous and heat-conducting fluid

Abstract

The Kirchhoff theory of wave propagation in a viscous heat-conducting fluid is valid when a circular tube is rigid. As the Kirchhoff solution is very complicated, some approximations for practical applications have been suggested. In this paper simplifications of the fluid equations, already applied in previous investigations, are assumed, but one of the principle assumptions on constant pressure in tube cross-section is not used when fluid motion in the tube cross-section is examined. The solution for a rigid circular tube is deduced and some approximations are investigated.