Generalization and extension of the law of acoustic energy conservation in a nonuniform flowAn exact conservation equation is derived which generalizes the familiar acoustic energy equations. The new relation is valid for arbitrary disturbances to a viscous, compressible flow. It is suggested by a development of the acoustic energy equation by means of a regular perturbation expansion of the general energy equation of fluid mechanics. A perturbation energy density and flux are defined and identified as the exact physical quantities whose leading order perturbation representations are the usual acoustic energy density and flux. The conservation equation governing the perturbation energy quantities is shown to yield previously known results for several special cases.
Document ID
19860035152
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Myers, M. K. (Joint Institute for Advancement of Flight Sciences Hampton, VA, United States)