Abstract

The physical principles of the ultrasound cross-correlation flow meter aredescribed quantitatively by means of an approach based on system analysis. Weextend an earlier theoretical model of Shu (1987 PhD Thesis UniversitätKarlsruhe) by accounting for additional characteristics of the turbulent pipe flowand making use of characteristic turbulence parameters. The velocity obtained bycross-correlation of the phase-modulated ultrasound signals can be predicted withthe theoretical model as a function of the Reynolds number. These theoreticalpredictions agree favourably with experimental results. It is shown that thevelocity determined by cross-correlation is nearly the ‘modal value’ of theturbulent velocity profile and, thereby, higher than the bulk velocity in the pipe.The investigations include studies of the influence of a number of parameters thatcan be varied in a practical set-up. It is shown that a calibration of thesystem, as it is done in practice, is only valid for a specific set of valuesof these parameters and restricted to fully developed flow in the pipe.

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