@inproceedings{4bcbbb872f0d4d0d8df0c0ec471fd5c8,
title = "On the method of characteristics in highly compressible flows",
abstract = "The method of characteristics (MOC) is widely used in simulations of transient liquid flows. Nearly always, the method is simplified by key assumptions that the speed of sound is (i) constant and (ii) very much larger than the fluid velocity. This paper describes how MOC can be used in transient gas flows even when these assumptions cannot reasonably be made. Examples include flows at large (but subsonic) Mach number and strongly compressible flows in long pipes with skin friction and/or heat transfer. Four formulations of the basic equations are presented and their advantages and disadvantages are explained. The simplest of these, based on pressure p, density p and velocity U, closely resembles conventional water-hammer formulations. The most powerful formulation, based on temperature T, specific entropy s and Mach number M, has special advantages in the representation of a path-line equation that is always necessary in addition to the two wave-path equations. This formulation can yield stable solutions for all subsonic flows (M < 1 ).",
keywords = "one-dimensional, unsteady, compressible pipe-flow, momentum correction factor, energy correction factor",
author = "Vardy, {Alan E.}",
note = "Copyright: {\textcopyright} TU/ e 2023 Pressure Surges 14; 14th International Conference on Pressure Surges ; Conference date: 12-04-2023 Through 14-04-2023",
year = "2023",
language = "English",
isbn = "9789038657103",
pages = "443--457",
editor = "Jones, {Sarah E. L.}",
booktitle = "Proceedings of the 14th International Conference on Pressure Surges",
publisher = "Eindhoven University of Technology",
url = "https://pressuresurges14.win.tue.nl/",
}