Effect of Shear on Ultrasonic Flow Measurement Using Nonaxisymmetric Wave Modes

Abstract EN

Nonaxisymmetric wave propagation in an inviscid fluid with a pipeline shear flow is investigated.

Mathematical equation is deduced from the conservations of mass and momentum, leading to a second-order differential equation in terms of the acoustic pressure.

Meanwhile a general boundary condition is formulated to cover different types of wall configurations.

A semianalytical method based on the Fourier-Bessel theory is provided to transform the differential equation to algebraic equations.

Numerical analysis of phase velocity and wave attenuation in water is addressed in the laminar and turbulent flow.

Meanwhile comparison among different kinds of boundary condition is given.

In the end, the measurement performance of an ultrasonic flow meter is demonstrated.