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CLC number: TH161.12

On-line Access: 2020-10-15

Received: 2019-12-24

Revision Accepted: 2020-07-28

Crosschecked: 2020-09-16

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Citations:  Bibtex RefMan EndNote GB/T7714


Xiao-lu Zhang


Tao Jiang


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Journal of Zhejiang University SCIENCE A 2020 Vol.21 No.10 P.799-816


Methodology for expressing the flow coefficients of coupled throttling grooves in a proportional–directional valve

Author(s):  Xiao-lu Zhang, An-lin Wang, Wei Chen, Long Kuang, Tao Jiang

Affiliation(s):  School of Mechanical Engineering, Tongji University, Shanghai 201804, China; more

Corresponding email(s):   jiangtao@tongji.edu.cn

Key Words:  Flow coefficient, Proportional–, directional valve, Coupled throttling grooves, Saturated flow

Xiao-lu Zhang, An-lin Wang, Wei Chen, Long Kuang, Tao Jiang. Methodology for expressing the flow coefficients of coupled throttling grooves in a proportional–directional valve[J]. Journal of Zhejiang University Science A, 2020, 21(10): 799-816.

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author="Xiao-lu Zhang, An-lin Wang, Wei Chen, Long Kuang, Tao Jiang",
journal="Journal of Zhejiang University Science A",
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%0 Journal Article
%T Methodology for expressing the flow coefficients of coupled throttling grooves in a proportional–directional valve
%A Xiao-lu Zhang
%A An-lin Wang
%A Wei Chen
%A Long Kuang
%A Tao Jiang
%J Journal of Zhejiang University SCIENCE A
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%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A1900656

T1 - Methodology for expressing the flow coefficients of coupled throttling grooves in a proportional–directional valve
A1 - Xiao-lu Zhang
A1 - An-lin Wang
A1 - Wei Chen
A1 - Long Kuang
A1 - Tao Jiang
J0 - Journal of Zhejiang University Science A
VL - 21
IS - 10
SP - 799
EP - 816
%@ 1673-565X
Y1 - 2020
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.A1900656

Calculating the flow coefficient of a spool-valve is complicated due to the coupling–throttling effect in the throttling grooves of a proportional–;directional valve. In this paper, a methodology for expressing the flow coefficient of coupled throttling grooves is proposed to resolve that difficulty. With this purpose, an approach of a 3D numerical simulation and an experimental bench were introduced based on the prototype of a commercial proportional valve. The results show consistency between the numerical simulation and the bench test. Based on that, the concept of ‘saturation limit’ is introduced to describe the value gap between the current and saturated flows, so that the flow-coefficient saturation limit of the prototype in the process can be deducted. Accordingly, an approximate flow coefficient suitable for coupled throttling grooves within finite variable space, which is based on three typical throttling structures (i.e. O-shape, U-shape, and C-shape) of the coupled throttling grooves, is obtained based on an orthogonal test. The model results are consistent with the numerical and experimental results, with maximum errors of less than 5.29% and 5.34%, respectively. This suggests that the proposed method is effective in approximating the flow coefficient.


创新点:1. 在三维流场解析与台架实验结果基本一致的基础上,推导出了比例换向阀流量系数的极限饱和度模型; 2. 结合正交试验方法,构建并标定了比例换向阀有限变量空间的流量系数近似模型.
方法:1. 通过台架试验,验证比例换向阀三维计算流体动力学(CFD)仿真的有效性(图9和10); 2. 在台架试验与仿真解析结果基本一致的前提下,引入极限饱和度概念,推导出流量系数的极限饱和度表达(公式(9)和(10)); 3. 结合现有滑阀节流槽结构形态,构建基于三种典型节流槽结构(O型、U型和C型)的设计变量空间(图13); 4. 结合试验设计方法,构建并标定有限变量空间的流量系数近似模型(图19).
结论:1. 在台架试验与仿真解析结果基本一致的基础上,推导出了比例换向阀流量系数的极限饱和度模型; 2. 通过试验设计方法,得到了比例换向阀开启过程的流量系数变化趋势,即先增后减; 3. 推导和标定了比例换向阀有限变量空间的流量系数近似模型,可有效实现近似模型化表达.


Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article


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