title: Acoustic streaming in closed thermoacoustic devices.
abstract: A derivation of acoustic streaming in a steady-state thermoacoustic device is presented in the case of zero second-order time-averaged mass flux across the resonator section (nonlooped device). This yields analytical expressions for the time-independent second-order velocity, pressure gradient, and time-averaged mass flux in a fluid supporting a temperature gradient and confined between widely to closely separated solid boundaries, both in the parallel plate and in the cylindrical tube geometries (two-dimensional problem). From this, streaming can be evaluated in a thermoacoustic stack, regenerator, pulse tube, main resonator of a thermoacoustic device, or in any closed tube that supports a mean temperature gradient, providing only that the acoustic pressure, the longitudinal derivative of the pressure, and the mean temperature variation are known.
authors.affiliation: National Center for Physical Acoustics and Department of Physics and Astronomy, University of Mississippi, University 38677, USA.
authors.forename: H
authors.initials: H
authors.lastname: Bailliet
authors.forename: V
authors.initials: V
authors.lastname: Gusev
authors.forename: R
authors.initials: R
authors.lastname: Raspet
authors.forename: R A
authors.initials: RA
authors.lastname: Hiller