This paper discusses the acoustic wave motion and thermoacoustic effec
ts in sound channels with isothermal walls. In this case, the main par
ameter governing the propagation of sound waves is the relative width.
The key thermoacoustic effect is the mutual transformation of the lon
gitudinal and the transverse heat fluxes. The main parameter governing
the transformation is the acoustic admittance. A critical acoustic ad
mittance exists for longitudinal heat flux. When the local acoustic ad
mittance is greater than the critical value, the longitudinal heat flu
x increases; otherwise it decreases. A critical acoustic admittance fo
r transverse heat flux also exists. When the local acoustic admittance
is smaller than the critical value, heat is rejected to the environme
nt; otherwise it is absorbed, if the Prandtl number of the gaseous med
ium is smaller than the critical Prandtl number. When the Prandtl numb
er is larger than the critical Prandtl number, heat produced by dissip
ation dominates other effects, and heat absorption is replaced by the
heat rejection effect.