THERMOACOUSTIC HEAT TRANSPORTATION AND ENERGY TRANSFORMATION .1. FORMULATION OF THE PROBLEM

This paper discusses the acoustic wave motion, time-averaged thermoacoustic heat transportation and energy transformation in sound channels. The thermoacoustic effects are caused by the thermal interaction of the oscillatory gaseous fluid and the solid wall media. A closed set of longitudinal thermoacoustic equations: the wave equation, governing the acoustic wave motion, and the energy-temperature equation, governing the energy flux and temperature distribution, were obtained. The effects of finite solid wall thickness, finite heat exchange between the solid outer wall and its environment, and factors relating to the viscid and real gas fluid are taken into consideration. This set of thermoacoustic equations, together with other thermoacoustic relations, form a closed and complete mathematic modelling of acoustic wave motion, thermoacoustic heat transportation and energy transformation.