Analytical model of an ultrasonic cross-correlation flow meter, part 1: Stochastic modeling of turbulence

Peter D. Lysak; David M. Jenkins; Dean E. Capone; William L. Brown

doi:10.1016/j.flowmeasinst.2007.08.004

Analytical model of an ultrasonic cross-correlation flow meter, part 1: Stochastic modeling of turbulence

Peter D. Lysak, David M. Jenkins, Dean E. Capone, William L. Brown

Applied Research Laboratory (ARL)

Research output: Contribution to journal › Article › peer-review

23 Scopus citations

Abstract

An analytical model of an ultrasonic cross-correlation flow meter has been developed to relate the time delay measured by the meter to the mean velocity profile and statistical properties of turbulent pipe flow. The model expresses the cross-correlation and cross-spectrum of the demodulated ultrasonic signal in terms of the space-time correlations of the turbulence. In Part 1 of this two-part paper, a stochastic model of the turbulent velocity fluctuations is developed. The model provides closed-form analytical formulas for the turbulence correlation and spectrum functions in terms of parameters which can be obtained from empirical data or computational fluid dynamics.

Original language	English (US)
Pages (from-to)	1-7
Number of pages	7
Journal	Flow Measurement and Instrumentation
Volume	19
Issue number	1
DOIs	https://doi.org/10.1016/j.flowmeasinst.2007.08.004
State	Published - Mar 2008

All Science Journal Classification (ASJC) codes

Modeling and Simulation
Instrumentation
Computer Science Applications
Electrical and Electronic Engineering

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10.1016/j.flowmeasinst.2007.08.004

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abstract = "An analytical model of an ultrasonic cross-correlation flow meter has been developed to relate the time delay measured by the meter to the mean velocity profile and statistical properties of turbulent pipe flow. The model expresses the cross-correlation and cross-spectrum of the demodulated ultrasonic signal in terms of the space-time correlations of the turbulence. In Part 1 of this two-part paper, a stochastic model of the turbulent velocity fluctuations is developed. The model provides closed-form analytical formulas for the turbulence correlation and spectrum functions in terms of parameters which can be obtained from empirical data or computational fluid dynamics.",

author = "Lysak, {Peter D.} and Jenkins, {David M.} and Capone, {Dean E.} and Brown, {William L.}",

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AU - Brown, William L.

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AB - An analytical model of an ultrasonic cross-correlation flow meter has been developed to relate the time delay measured by the meter to the mean velocity profile and statistical properties of turbulent pipe flow. The model expresses the cross-correlation and cross-spectrum of the demodulated ultrasonic signal in terms of the space-time correlations of the turbulence. In Part 1 of this two-part paper, a stochastic model of the turbulent velocity fluctuations is developed. The model provides closed-form analytical formulas for the turbulence correlation and spectrum functions in terms of parameters which can be obtained from empirical data or computational fluid dynamics.

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Analytical model of an ultrasonic cross-correlation flow meter, part 1: Stochastic modeling of turbulence

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