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On indirect noise in multicomponent nozzle flows

Published online by Cambridge University Press:  12 September 2017

Luca Magri Open the ORCID record for Luca Magri [Opens in a new window]
Luca Magri*
Affiliation:
University of Cambridge, Department of Engineering, Cambridge CB2 1PZ, UK
*
†Email address for correspondence: lm547@cam.ac.uk
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Abstract

A one-dimensional, unsteady nozzle flow is modelled to identify the sources of indirect noise in multicomponent gases. First, from non-equilibrium thermodynamics relations, it is shown that a compositional inhomogeneity advected in an accelerating flow is a source of sound induced by inhomogeneities in the mixture (i) chemical potentials and (ii) specific heat capacities. Second, it is shown that the acoustic, entropy and compositional linear perturbations evolve independently from each other and they become coupled through mean-flow gradients and/or at the boundaries. Third, the equations are cast in invariant formulation and a mathematical solution is found by asymptotic expansion of path-ordered integrals with an infinite radius of convergence. Finally, the transfer functions are calculated for a supersonic nozzle with finite spatial extent perturbed by a methane–air compositional inhomogeneity. The proposed framework will help identify and quantify the sources of sound in nozzles with relevance, for example, to aeronautical gas turbines.

JFM classification

Acoustics: Acoustics Compressible Flows: Gas dynamics Reacting Flows: Reacting Flows
Type
Rapids
Information
Journal of Fluid Mechanics , Volume 828 , 10 October 2017 , R2
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Copyright
© 2017 Cambridge University Press 

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