scispace - formally typeset
Journal ArticleDOI

An exact energy corollary for homentropic flow

M.K. Myers
- 08 Sep 1986 - 
- Vol. 109, Iss: 2, pp 277-284
TLDR
In this article, an exact conservation equation is developed which generalizes the familiar acoustic energy equation for arbitrary homentropic disturbances to a homentropy steady flow, and a perturbation energy density and flux are defined and identified as the exact physical quantities whose leading order representations are the usual acoustic energy densities and flux.
About
This article is published in Journal of Sound and Vibration.The article was published on 1986-09-08. It has received 73 citations till now. The article focuses on the topics: Homentropic flow & Continuity equation.

read more

Citations
More filters
Journal ArticleDOI

Transport of energy by disturbances in arbitrary steady flows

TL;DR: In this article, an exact equation governing the transport of energy associated with disturbances in an arbitrary steady flow is derived and applied to a simple example of nonlinear wave propagation as an illustration of its general utility in situations where a linear description of the disturbance is inadequate.
Journal ArticleDOI

On the whistling of corrugated pipes: effect of pipe length and flow profile

TL;DR: In this article, a numerical methodology that combines incompressible flow simulations with vortex sound theory is proposed to estimate the acoustic source power in periodic systems, which successfully predicts the Strouhal number ranges of acoustic energy production/absorption and the nonlinear saturation mechanism responsible for the stabilization of the limit cycle oscillation.
Journal ArticleDOI

Aeroacoustic power generated by a compact axisymmetric cavity: prediction of self-sustained oscillation and influence of the depth

TL;DR: In this paper, a numerical methodology that combines incompressible flow simulations with vortex sound theory is used to predict the time-averaged acoustic source power generated by a compact cavity exposed to a low-Mach-number grazing flow.
Journal ArticleDOI

Acoustic and disturbance energy analysis of a flow with heat communication

TL;DR: In this paper, a comparative analysis of the budgets of acoustic energy and Myers' second-order "disturbance energy" in a simple inhomogeneous flow with heat communication was presented, and it was shown that significant entropic disturbances are usually generated at low frequency when a flow with steady heat communication is excited either acoustically or entropically.
References
More filters
Journal ArticleDOI

Acoustic energy in non-uniform flows

TL;DR: In this article, the concept of acoustic energy is extended to non-uniform fluid flows and the resulting energy balance equation exhibits acoustic energy production or dissipation within the flow, but in an important special case the production term is zero.
Journal ArticleDOI

Interaction between sound and flow in acoustic cavities: mass, momentum, and energy considerations,

TL;DR: In this article, the authors investigated requirements for neutral acoustic stability in cavities with a transpiring wall where there is a mean flow in the absence of acoustic disturbances and the growth rates of the acoustic fields were also considered.
Journal ArticleDOI

Are acoustic intensity and potential energy density first‐ or second‐order quantities?

TL;DR: In this paper, a reviewer's comment to our manuscript "Acoustic radiation produced by a beam of sound" [J. Acoust. Soc. 72, 1673] has prompted us to consider the question posed by the title of this manuscript, which is not an uncommon one when dealing with nonlinear problems.

Nonlinear theory of shocked sound propagation in a nearly choked duct flow

TL;DR: In this article, the development of shocks in the sound field propagating through a nearly choked duct flow is analyzed by extending a quasi-one dimensional theory applied to the case in which sound is introduced into the flow by an acoustic source located in the vicinity of a near-sonic throat.