Repository logo
 

A generalised model for acoustic and entropic transfer function of nozzles with losses

Accepted version
Peer-reviewed

Type

Article

Change log

Authors

De Domenico, F 
Rolland, EO 

Abstract

We investigate the low frequency transfer functions for acoustic and entropic perturbations through nozzles and nozzle guide vanes. Previous theories rely on the isentropic assumption; in real systems, however, pressure losses associated with local friction and flow recirculation may occur, as evidenced by a drop in static pressure. In this work we relax the isentropic assumption and derive a parametric model to predict the acoustic and entropic transfer functions of a generic nozzle with subsonic-to-sonic throat conditions in the low frequency domain. For a given geometry and operating conditions, the model can retrieve the acoustic impedance of three limit cases known from the literature, as a function of a pressure loss parameter: the isentropic nozzle, the ori ce plate and the converging nozzle terminating a duct. The generalised model is also able to predict the conversion of entropy to sound through ori ce plates and nonisentropic nozzles given a measured or estimated static pressure loss parameter. The analytical predictions compare favourably with experimental measurements acquired in the Cambridge Entropy Generator for circular ori fices and nozzles with subsonic-to-sonic throat conditions. The results highlight the need to correctly account for pressure losses in the system in order to properly capture the transfer functions of nozzles, as isentropic predictions di er substantially from the acquired experimental data.

Description

Keywords

Thermoacoustics, Nozzle transfer functions, Entropy noise, Pressure losses

Journal Title

Journal of Sound and Vibration

Conference Name

Journal ISSN

0022-460X
1095-8568

Volume Title

440

Publisher

Elsevier BV
Sponsorship
Engineering and Physical Sciences Research Council (EP/K02924X/1)
EPSRC Qualcomm