Investigation of higher order effects in linear piston theory

Abstract

Piston theory was first suggested by Lighthill [1] for aerodynamic flows at high Mach numbers. In 1956, Ashley and Zartarian [2] developed piston theory as a useful method for the aeroelastician. Recently Dowell and Bliss [3] extended piston theory based on expansions in reduced frequency for any supersonic Mach number, inverse reduced frequency and/or inverse (square of) Mach number. Here the approach of Dowell and Bliss is extended to higher order terms in the several expansions.