The measurement of the frequency of transverse acoustical resonances of a duct can determine the mass loading and size of particles fluidized by a gas phase. A first-order perturbation-iteration acoustical analysis is applied to this two-phase flow measurement, termed the Acoustical Resonance Measurement, in a circular duct. A sample application of pulverized coal fluidized by air in power plant coal piping is examined. The particle loading is determined by measuring the frequency of a single transverse resonance, and the particle size is determined by simultaneously measuring the frequencies of two transverse resonances. The Acoustical Resonance Measurement provides a nonintrusive and real-time measurement of the mass loading and sizing of particles fluidized by a gas phase.

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