AN INVERSE PROBLEM OF ACOUSTIC FLOW

A one-dimensional mathematical model is suggested for nonstationary incompressible fl ow in a cylindrical tube under the action of a sonic wave propagating in it. Within the framework of this model, a problem of determining the acoustic energy density at the beginning of the tube from the given volumetric fl ow rate of the fl uid in the tube is posed. This problem relates to the class of inverse problems associated with the restoration of the dependence of the right-hand sides of parabolic equations on time. A computational algorithm is proposed for solving the problem posed.
   
Author:  Kh. M. Gamzaev
Keywords:  sonic wave, acoustic energy density, radiation pressure gradient, inverse problem
Page:  162