The theory of acoustic streaming in an annular thermoacoustic prime-mover i
s developed. It is predicted that above the threshold for traveling wave ex
citation the device considered (which does not contain any moving parts or
externally imposed pressure gradients) produces circulation of fluid. The h
eat Aux carried by this directional mass flow inside the thermoacoustic sta
ck exceeds (or is comparable with) the heat flux associated with the acoust
ically induced increase of thermal diffusivity of the gas. The effects inve
stigated are important for optimization of the performance of thermoacousti
c devices. (C) 2000 Acoustical Society of America.[S0001-4966(00)00309-X].