publication . Article . 2013

Solution of the quasi-one-dimensional linearized Euler equations using flow invariants and the Magnus expansion

Ignacio Duran; Stephane Moreau;
Open Access Afar
  • Published: 01 May 2013
  • Country: United Kingdom
Abstract
<jats:title>Abstract</jats:title><jats:p>The acoustic and entropy transfer functions of quasi-one-dimensional nozzles are studied analytically for both subsonic and choked flows with and without shock waves. The present analytical study extends both the compact nozzle solution obtained by Marble &amp; Candel (<jats:italic>J. Sound Vib.</jats:italic>, vol. 55, 1977, pp. 225–243) and the effective nozzle length proposed by Stow, Dowling &amp; Hynes (<jats:italic>J. Fluid Mech.</jats:italic>, vol. 467, 2002, pp. 215–239) and by Goh &amp; Morgans (<jats:italic>J. Sound Vib.</jats:italic>, vol. 330, 2011, pp. 5184–5198) to non-zero frequencies for both modulus and ph...
Subjects
free text keywords: Mechanical Engineering, Mechanics of Materials, Condensed Matter Physics, Classical mechanics, Aeroacoustics, Differential equation, Shock wave, Nozzle, Magnus expansion, Physics, Euler equations, symbols.namesake, symbols, Mach number, Asymptotic expansion
Related Organizations
Powered by OpenAIRE Open Research Graph
Any information missing or wrong?Report an Issue
publication . Article . 2013

Solution of the quasi-one-dimensional linearized Euler equations using flow invariants and the Magnus expansion

Ignacio Duran; Stephane Moreau;