数值积分函数对超声波流量计精度的影响

陈强; 李伟华; 吴婷; 吴江涛

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数值积分函数对超声波流量计精度的影响

更新时间：2025-07-09

- 数值积分函数对超声波流量计精度的影响
- Influence of Numerical Integration on Error of Ultrasonic Flowmeter
- 西安交通大学学报 2012年46卷第9期页码：21-25
- 作者机构：
  
  西安交通大学热流科学与工程教育部重点实验室,西安,710049
- 作者简介：
- 基金信息：
  
  : 2011-12-25. 作者简介: 陈强(1986-),男,博士生;吴江涛(通信作者),男,教授. 基金项目: 国家高技术研究发展计划资助项目(2009AA05Z107)
- DOI：
  中图分类号： TK313
- 网络首发：2012-09-10，
  
  纸质出版：2012
- 稿件说明：
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陈强, 李伟华, 吴婷, 等. 数值积分函数对超声波流量计精度的影响[J]. 西安交通大学学报, 2012,46(9):21-25.

Influence of Numerical Integration on Error of Ultrasonic Flowmeter[J]. 2012, 46(9): 21-25.
陈强, 李伟华, 吴婷, 等. 数值积分函数对超声波流量计精度的影响[J]. 西安交通大学学报, 2012,46(9):21-25. DOI：

Influence of Numerical Integration on Error of Ultrasonic Flowmeter[J]. 2012, 46(9): 21-25. DOI：

摘要

针对数值积分函数在超声波流量计计量过程中会引入固有误差的问题

对常用的4种积分函数在Re为1.0×10

～1.0×10

区间的固有误差进行了比较.通过建立超声波流量计数学模型

结合发展管内流速的分布规律

计算各积分函数的2～5个声路的误差

得到了误差分布曲线.研究结果表明:各积分函数的声路数越多

引入的固有误差越小

当Re大于等于1.0×10

时

各积分函数的引入误差随着Re的增大逐渐趋于稳定.在声路数不受限制且管路流量检测范围内会出现最大引入误差时

Gauss-Legender积分具有明显优势.当Re大于等于8.0×10

、小于等于4.0×10

时

Tailored积分具有较小误差

而Owics积分更适用于声路数受限制和Re大于4.0×10

的管路流量检测.

Abstract

Comparative research was carried out on the inherent error of four commonly used inherent in the Reynolds number interval 1.0×10

-1.0×10

according to the inherent error introduced by the numerical integration of ultrasonic flowmeters during the measuring process. From the mathematical model of an ultrasonic flowmeter and the universal velocity distribution of a fully developed pipe flow

the error of integrations of a flowmeter with two to five acoustic paths was calculated

and the error distribution curves were obtained. The results show that inherent error introduced by the integration decreases with an increase in the number of acoustic paths. When the Reynolds number is higher than 1.0×10

all the integrations' importing error is gradually stable. However

Gauss

-Legender has obvious advantages when the number of acoustic paths is unlimited and the maximum importing error occurs in the flow detecting range. Tailored has a smaller error than the others in the Reynolds number range of 8.0×10

-4.0×10

. Owics is more suitable for the flow measurement where the number of acoustic paths is limited and the Reynolds number is higher than 4.0×10

关键词

Keywords

references

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