TY - GEN
T1 - One-dimensional waves - Axial, cylindrical and spherical
AU - Vardy, Alan E.
N1 - Copyright:
© TU/ e 2023 Pressure Surges 14
PY - 2023
Y1 - 2023
N2 - Three geometrically different types of spatially one-dimensional (1-D) wave propagation are considered. The first, namely axial propagation parallel to a single axis, is typical of flows in pipes and channels. The second is cylindrical propagation, as in waves radiating wholly radially from a line source (uniformly along its length). The third is spherical propagation, as in, say, sound waves from a highly localised source in open air. Continuity and momentum equations for the three cases are presented in a common format and are then combined using the Method of Characteristics. It is shown that all three formulations can be expressed in an especially simple manner when the sound speed and the volumetric flow-rate are chosen as the principal variables (as opposed to, say, pressure and velocity).Differences in the behaviour of the three types of wave propagation are illustrated for (i) the elementary cases of purely axial, cylindrical, and spherical propagation and(ii) composite geometries in which radial geometries are coupled with an upstream region of axially 1-D flow-illustrating, for example, radiation from an open end of a pipe.The outcomes are used as a basis for a short discussion of the fundamental nature of wave propagation.
AB - Three geometrically different types of spatially one-dimensional (1-D) wave propagation are considered. The first, namely axial propagation parallel to a single axis, is typical of flows in pipes and channels. The second is cylindrical propagation, as in waves radiating wholly radially from a line source (uniformly along its length). The third is spherical propagation, as in, say, sound waves from a highly localised source in open air. Continuity and momentum equations for the three cases are presented in a common format and are then combined using the Method of Characteristics. It is shown that all three formulations can be expressed in an especially simple manner when the sound speed and the volumetric flow-rate are chosen as the principal variables (as opposed to, say, pressure and velocity).Differences in the behaviour of the three types of wave propagation are illustrated for (i) the elementary cases of purely axial, cylindrical, and spherical propagation and(ii) composite geometries in which radial geometries are coupled with an upstream region of axially 1-D flow-illustrating, for example, radiation from an open end of a pipe.The outcomes are used as a basis for a short discussion of the fundamental nature of wave propagation.
KW - one-dimensional
KW - unsteady
KW - compressible pipe-flow
KW - momentum correction factor
KW - energy correction factor
M3 - Conference contribution
SN - 9789038657103
SP - 537
EP - 553
BT - Proceedings of the 14th International Conference on Pressure Surges
A2 - Jones, Sarah E. L.
PB - Eindhoven University of Technology
CY - Eindhoven
T2 - 14th International Conference on Pressure Surges
Y2 - 12 April 2023 through 14 April 2023
ER -