不同流动流态下的超声波流量计流速算法优化
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扬州大学电气与能源动力工程学院扬州225000

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TN64;TB937

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国家自然科学基金(52409121)项目资助


Optimisation of flow rate algorithms for ultrasonic flow meters in different flow regimes
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School of Electrical and Energy & Power Engineering, Yangzhou University, Yangzhou 225000,China

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    摘要:

    为了降低基于传统时差法的超声波流量计在不同流态下的计算误差,本文针对流速计算提出一种新的修正方法。首先根据雷诺数(Re)将流场化为3种不同状态即层流(Re<2 000)、过渡流(2 0004 000),在理想流态线速度分布公式的基础上加入修正因子来克服由于流动状态引起的误差,先将基于水循环系统和PIV系统获得的一组雷诺数为2 000和一组雷诺数为4 000的流速流量数据作为标定值,结合有修正因子的线速度分布公式与积分时差法得到带有修正因子的流速和流量计算方法,通过不断改变修正因子求流速与流量并与标定值进行误差计算,与标定值误差为零时的修正因子即为所求,此时层流和湍流线速度分布的修正因子分别为1.847 1和1.436 8。将修正后的层流和湍流线速度分布公式结合线性插值公式得出过渡流时的线速度分布公式从而得出过渡流时的流速和流量值。通过将除标定数据外的数据作为修正流速计算公式的验证数据,结果显示,在雷诺数2 000~4 000时(过渡流)的计算误差与实验误差基本在0.2%左右,高雷诺数湍流时的相对误差在0.45%左右,以上结果表明通过雷诺数分区并结合修正因子和积分时差法计算流量是有效且计算结果较精确的。

    Abstract:

    To reduce the calculation errors of ultrasonic flowmeters using the traditional time-difference method under different flow states, a correction method for flow velocity calculation is proposed. The flow field is classified into three states according to the Reynolds number (Re):laminar flow (Re<2 000), transitional flow (2 0004 000). Correction factors are added to the linear velocity distribution formula of the ideal flow state to address errors caused by different flow states. A water circulation system and a PIV system are used to collect flow rate data at Re=2 000 and Re=4 000 as calibration values. The linear velocity distribution formula with correction factors is combined with the integral time-difference method to calculate flow velocity and rate. By adjusting the correction factors and minimizing the errors between calculated and calibrated values, the correction factors for laminar and turbulent linear velocity distributions are determined as 1.847 1 and 1.436 8, respectively. Then, linear interpolation is applied to obtain the linear velocity distribution and corresponding flow values for transitional flow, The experimental data, are used for validation. Results show that the calculation error for transitional flow (Re 2 000-4 000) is about 0.2% relative to the experimental error, and for high-Re turbulent flow, the relative error is around 0.45%. This proves that the method of combining correction factors with the integral time-difference method via Reynolds number classification is effective and yields more accurate results.

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王玥,刘晓东,吴桂峰.不同流动流态下的超声波流量计流速算法优化[J].电子测量与仪器学报,2025,39(12):138-146

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