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Analysis of Flow Field in Large Disc Valves

Received: 29 August 2019    Accepted: 23 September 2019    Published: 7 November 2019
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Abstract

The formula Q = Qmax×2000q/qmax-1 is used to describe the relationship between the flow rate Q and the valve opening angle (q/qmax-1 ) in the large disc valve [1], . In this paper, the simplified Navier-Stokes equation [2-4] is applied to the analysis of flow field in large disc valves. It also includes the use of Bernoulli equation [2-4] to determine the pressure conditions at both ends of the valve based on the specified flow rate Q of the valve. This is the first time, the universal formulas and images of flow angles for flow lines that satisfy boundary conditions including both ends, two walls, and disc surface flow lines are proposed. In this paper, flow rate, flow velocity and pressure are discussed on the basis of streamlines [2-4]. Because the flow function Y for any flow lines is constant [2], setting Y to be a two-order polynomial of x and y, then prove that it satisfies the flow function equation [2], and according to the definition of the flow function, the two components of the flow velocity, longitudinal and transverse are evaluated as two more simpler polynomial of x and y, for afterwards use. For the disc valve, the flow rate through any lines that passes two points is equal to the difference of the flow function Y values at these two points [2], which proves that the flow function has nothing to do with the y coordinate at the center line of the disc valve. The longitudinal flow rate Q along the disc valve is only related to the longitudinal flow velocity v, so v is obtained according to the flow rate Q at the different valve opening angles q. Finally, the transverse velocity u in disc valve at the different valve opening angles is obtained by using the Navier-Stokes equation and the obtained universal formulas of the flow angles. Finally, analysis of flow field in large disc valves is completed. This is different from the methods [5-9, 11-16] to be widely used software simulation of flow fields, as there is no need to divide the flow field by grids.

Published in Asia-Pacific Journal of Computer Science and Technology (Volume 1, Issue 2)
Page(s) 15-27
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Disc Valves, Flow Field, Flow Angle of Flow Lines, Flow Function, Pressure Gradient, Pressure Distribution, Flow Velocity, Its Vector Distribution

References
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[2] 莫乃榕 “水力学简明教程“(M),武汉:华中科技大学出版社,2008.
[3] 怀特.枯性沈体动力学.魏中寿,甄思森译.北京:机械工业出版杜,1982.
[4] 莫乃榕,愧丈信.流体力学水力学版解.武汉:华中料技大学出版社,2002.
[5] 邓业民 孔晓武 邱敏秀 魏建华 先导式大流量高速开关阀的优化设计,《机械设计》2010, 27 (9):84-87.
[6] 孟爱红, ESC液压执行机构压力精确控制研究,清华大学博士论文2014.
[7] 沈新福、李江莉、李增珍、陆冰,一种新型电动蝶阀调节特性的数值计算,实验研究[J]液压与气动,2006(5)47-49.
[8] 刘学盼、陆晓峰 汽轮机进气缸内复杂流场的三维数值分析[J] 南京工业大学学报(自然科学版)2009、31(5)106-110.
[9] Changwei Yang, Xiwen Zhang, Zhaohui Yao etel, The Large Eddy Simulation and Stability Analysis of Flow Field in a Generic Cabin. Journal of Mechanical Science and Technology Procedia Engineering 121 (2015) 1749-1756.
[10] Maple software17, A product of the Maple company, Canada.
[11] CFD-ACE Theory Manual [M]. CFD Research Corporation, Huntsville, AL, Ver. 4.0, Feb. 1998.
[12] Bird G A. Molecular Gas Dynamics and the Direct Simulation of Gas Flows [M]. London: Oxford Univ. Press, 1994.
[13] Pfahler J. Liquid Transport in Micro and Submicro Channels [J]. Sensors and Actuators, 1999, A21-23:431-434.
[14] Francais O, Dufour I. Dynamic simulation of an electrostatic micropump with pull-in and hysteresisphenomenafJl. Sensors and Actuators, 1995, 70: 55-60.
[15] Herbert Oertel (Ed.) Prandtl–Essentials of Fluid Mechanic, Springer Press, 2009.
[16] Pierre Saramito, Complex fluids, Modeling and Algorithms, Springer Press, 2016.
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    Pang Dongqing, Gao Zhenbing, Sun Yicai. (2019). Analysis of Flow Field in Large Disc Valves. Asia-Pacific Journal of Computer Science and Technology, 1(2), 15-27.

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    Pang Dongqing; Gao Zhenbing; Sun Yicai. Analysis of Flow Field in Large Disc Valves. Asia-Pac. J. Comput. Sci. Technol. 2019, 1(2), 15-27.

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    Pang Dongqing, Gao Zhenbing, Sun Yicai. Analysis of Flow Field in Large Disc Valves. Asia-Pac J Comput Sci Technol. 2019;1(2):15-27.

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  • @article{10042733,
      author = {Pang Dongqing and Gao Zhenbing and Sun Yicai},
      title = {Analysis of Flow Field in Large Disc Valves},
      journal = {Asia-Pacific Journal of Computer Science and Technology},
      volume = {1},
      number = {2},
      pages = {15-27},
      url = {https://www.sciencepublishinggroup.com/article/10042733},
      abstract = {The formula Q = Qmax×2000q/qmax-1 is used to describe the relationship between the flow rate Q and the valve opening angle (q/qmax-1 ) in the large disc valve [1], . In this paper, the simplified Navier-Stokes equation [2-4] is applied to the analysis of flow field in large disc valves. It also includes the use of Bernoulli equation [2-4] to determine the pressure conditions at both ends of the valve based on the specified flow rate Q of the valve. This is the first time, the universal formulas and images of flow angles for flow lines that satisfy boundary conditions including both ends, two walls, and disc surface flow lines are proposed. In this paper, flow rate, flow velocity and pressure are discussed on the basis of streamlines [2-4]. Because the flow function Y for any flow lines is constant [2], setting Y to be a two-order polynomial of x and y, then prove that it satisfies the flow function equation [2], and according to the definition of the flow function, the two components of the flow velocity, longitudinal and transverse are evaluated as two more simpler polynomial of x and y, for afterwards use. For the disc valve, the flow rate through any lines that passes two points is equal to the difference of the flow function Y values at these two points [2], which proves that the flow function has nothing to do with the y coordinate at the center line of the disc valve. The longitudinal flow rate Q along the disc valve is only related to the longitudinal flow velocity v, so v is obtained according to the flow rate Q at the different valve opening angles q. Finally, the transverse velocity u in disc valve at the different valve opening angles is obtained by using the Navier-Stokes equation and the obtained universal formulas of the flow angles. Finally, analysis of flow field in large disc valves is completed. This is different from the methods [5-9, 11-16] to be widely used software simulation of flow fields, as there is no need to divide the flow field by grids.},
     year = {2019}
    }
    

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  • TY  - JOUR
    T1  - Analysis of Flow Field in Large Disc Valves
    AU  - Pang Dongqing
    AU  - Gao Zhenbing
    AU  - Sun Yicai
    Y1  - 2019/11/07
    PY  - 2019
    T2  - Asia-Pacific Journal of Computer Science and Technology
    JF  - Asia-Pacific Journal of Computer Science and Technology
    JO  - Asia-Pacific Journal of Computer Science and Technology
    SP  - 15
    EP  - 27
    PB  - Science Publishing Group
    UR  - http://www.sciencepg.com/article/10042733
    AB  - The formula Q = Qmax×2000q/qmax-1 is used to describe the relationship between the flow rate Q and the valve opening angle (q/qmax-1 ) in the large disc valve [1], . In this paper, the simplified Navier-Stokes equation [2-4] is applied to the analysis of flow field in large disc valves. It also includes the use of Bernoulli equation [2-4] to determine the pressure conditions at both ends of the valve based on the specified flow rate Q of the valve. This is the first time, the universal formulas and images of flow angles for flow lines that satisfy boundary conditions including both ends, two walls, and disc surface flow lines are proposed. In this paper, flow rate, flow velocity and pressure are discussed on the basis of streamlines [2-4]. Because the flow function Y for any flow lines is constant [2], setting Y to be a two-order polynomial of x and y, then prove that it satisfies the flow function equation [2], and according to the definition of the flow function, the two components of the flow velocity, longitudinal and transverse are evaluated as two more simpler polynomial of x and y, for afterwards use. For the disc valve, the flow rate through any lines that passes two points is equal to the difference of the flow function Y values at these two points [2], which proves that the flow function has nothing to do with the y coordinate at the center line of the disc valve. The longitudinal flow rate Q along the disc valve is only related to the longitudinal flow velocity v, so v is obtained according to the flow rate Q at the different valve opening angles q. Finally, the transverse velocity u in disc valve at the different valve opening angles is obtained by using the Navier-Stokes equation and the obtained universal formulas of the flow angles. Finally, analysis of flow field in large disc valves is completed. This is different from the methods [5-9, 11-16] to be widely used software simulation of flow fields, as there is no need to divide the flow field by grids.
    VL  - 1
    IS  - 2
    ER  - 

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Author Information
  • Ultrafast Laser Laboratory, Key Laboratory of Opto-electronic Information Technology (Ministry of Education), College of Precision Instrument and Optoelectronics Engineering, Tianjin University, Tianjin, People’s Republic of China

  • Information College, Hebei University of Technology, Tianjin, People’s Republic of China

  • Information College, Hebei University of Technology, Tianjin, People’s Republic of China

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