Theoretical Analysis on Hydraulic Transient Resulted by Sudden Increase of Inlet Pressure for Laminar Pipeline Flow

DENG Song-sheng; ZHOU Shao-qi; LIAO Zhen-fang; QIU Zheng-yang; ZENG Shun-peng

Volume 25 Issue 6

Turn off MathJax

Article Contents

Abstract

References

Article Navigation > Applied Mathematics and Mechanics > 2004 > 25(6): 614-620

DENG Song-sheng, ZHOU Shao-qi, LIAO Zhen-fang, QIU Zheng-yang, ZENG Shun-peng. Theoretical Analysis on Hydraulic Transient Resulted by Sudden Increase of Inlet Pressure for Laminar Pipeline Flow[J]. Applied Mathematics and Mechanics, 2004, 25(6): 614-620.

Citation:

PDF( 1908 KB)

Theoretical Analysis on Hydraulic Transient Resulted by Sudden Increase of Inlet Pressure for Laminar Pipeline Flow

1.
Department of Oil Supply Engineering, Chongqing College of Logistic Engineering, Chongqing 400016, P. R. China;

Received Date: 2002-06-23
Rev Recd Date: 2004-01-08
Publish Date: 2004-06-15

Abstract

Abstract

Hydraulic transient, which is resulted from sudden increase of inlet pressure for laminar pipeline flow, is studied. The partial differential equation, initial and boundary conditions for transient pressure were constructed, and the theoretical solution was obtained by variable-separation method. The partial differential equation, initial and boundary conditions for flow rate were obtained in accordance with the constraint correlation between flow rate and pressure while the transient flow rate distribution was also solved by variable-separation method. The theoretical solution conforms to numerical solution obtained by method of characteristics (MOC) very well.
- laminar flow,
- pipeline flow,
- hydraulic transient,
- theoretical solution

FullText(HTML)

References(9)

References

[1]	Wylie E Benjamin，Streeter Victor L.Fluid Transients[M].New York:FEB Press,1985,32—36.
[2]	邓松圣，蒲家宁.顺序输送水力瞬变全过程模拟[J].油气储运,1996,15(12):16—19.
[3]	蒲家宁.管道水击分析与控制[M].北京：机械工业出版社,1991.
[4]	Adamkowski Adam.Analysis of transient flow in pipes with expanding or contracting sections[J].Journal of Fluid Engineering,2003,125(4):716—722. doi: 10.1115/1.1593703
[5]	Chaiko M A,Brinckman K W. Models for analysis of water hammer in piping with entrapped air[J].Journal of Fluid Engineering,2002, 124(1):194—204. doi: 10.1115/1.1430668
[6]	Hadj-Taieb E,Lili T. Validation of hyperbolic model for water-hammer in deformable pipe[J].Journal of Fluid Engineering,2000,122(1):57—64. doi: 10.1115/1.483227
[7]	Liou Jin C P.Numerical properties of the discrete gas cavity model for transients[J].Journal of Fluid Engineering,2000,[STHZ]. 122[STBZ]. (3):636—639.
[8]	邓松圣，周明来，蒲家宁.分析管流水力-热力瞬变的双特征线法[J].应用数学和力学，2002，23(6)：627—634.
[9]	邓松圣,蒲家宁,廖振方. 分析介质顺序输送管流水力瞬变的特征线[J].水动力学研究与进展,2003,18(1):81—85.

Relative Articles

[1]	XU Zhimin, SONG Siyuan, XIN Fengxian, YANG Xiaohu, LU Tianjian. Analytical Solution for the Viscous Flow of Small Reynolds Numbers in Rough Pipes[J]. Applied Mathematics and Mechanics, 2018, 39(2): 123-136. doi: 10.21656/1000-0887.380223
[2]	WANG Ke-feng, ZHANG Qing, XIA Xiao-zhou. Modeling of Hydraulic Fracturing of Concrete Gravity Dam Considering Fluid-Structure Interaction[J]. Applied Mathematics and Mechanics, 2015, 36(9): 970-980. doi: 10.3879/j.issn.1000-0887.2015.09.008
[3]	ZHAO Shan-shan, WU Xiao-ming, LIU Yao-dong. A New Method for Accurate Calculation of the Bingham Fluid Axial Laminar Flow Pressure Drop and Velocity Distribution in Circular Pipes[J]. Applied Mathematics and Mechanics, 2015, 36(4): 440-448. doi: 10.3879/j.issn.1000-0887.2015.04.012
[4]	Hasan Nemati, Mousa Farhadi, Kurosh Sedighi, Mohammad Mohammadi Pirouz, Nima Niksefat Abatari. Convective Heat Transfer From Two Rotating Circular Cylinders in Tandem Arrangement Using Lattice Boltzmann Method[J]. Applied Mathematics and Mechanics, 2012, 33(4): 406-424. doi: 10.3879/j.issn.1000-0887.2012.04.003
[5]	Mofid Gorjid, Morteza Alipanah, Majid Shateri, Elham Farnad. An Analytical Solution for Laminar Flow Through a Leaky Tube[J]. Applied Mathematics and Mechanics, 2011, 32(1): 66-71. doi: 10.3879/j.issn.1000-0887.2011.01.007
[6]	WAN Wu-yi, ZHU Song, HU Yun-jin. Attenuation Analysis of Hydraulic Transients With Laminar-Turbulent Flow Alternations[J]. Applied Mathematics and Mechanics, 2010, 31(10): 1152-1159. doi: 10.3879/j.issn.1000-0887.2010.10.002
[7]	Muhammet Yürüsoy. Similarity Solutions for Creeping Flow and Heat Transfer in Second Grade Fluid[J]. Applied Mathematics and Mechanics, 2004, 25(4): 425-432.
[8]	MENG Qing-guo. Analytic Solutions of Incompressible Laminar Flow in the Inlet Region of a Pipe[J]. Applied Mathematics and Mechanics, 2004, 25(8): 815-818.
[9]	SHEN Fang, YAN Zong-yi, ZHAO Yao-hua, Kiyoshi Horii. Theoretical Analysis of Using Airflow to Purge Residual Water in an Inclined Pipe[J]. Applied Mathematics and Mechanics, 2002, 23(6): 619-626.
[10]	DENG Song-sheng, ZHOU Ming-lai, PU Jia-ning. Double Method of Characteristics to Analyze Hydraulic-Thermal Transients of Pipeline Flow[J]. Applied Mathematics and Mechanics, 2002, 23(6): 627-634.
[11]	Yuan Yiwu, Liu Youwen. An Approximate Method for Determing the Veloctiy Profile in a Laminar Boundary-Layer on Flat Plate[J]. Applied Mathematics and Mechanics, 1999, 20(4): 427-431.
[12]	Yuan Yi-wu. An Approximate Analytical Solution of the Laminar Boundary Layer Equations[J]. Applied Mathematics and Mechanics, 1993, 14(1): 39-40.
[13]	Zhu Shi-xing, Wang Zhi-qing. A Study on Flow Resistance in the Entrance Region of Isosceles Triangular Ducts[J]. Applied Mathematics and Mechanics, 1993, 14(9): 793-807.
[14]	Yue Xiang-an, Kong Xiang-yan, Chen Jia-lang. Perturbation Solution of Non-Newtonian Fluid Axial Laminar Flow through Eccentric Annuli[J]. Applied Mathematics and Mechanics, 1992, 13(3): 245-254.
[15]	Ding Zhong-man, Wang Zhi-qing. The New Solution for the Axially Symmetrical Laminar Boundary Layer Equations between Two Parallelf Spherical Surfaces[J]. Applied Mathematics and Mechanics, 1992, 13(12): 1075-1080.
[16]	He You-sheng, Lu Chuan-jing, Chen Xue-nong. Analytical Solutions of Singularities Moving with an Arbitrary Path when Two Fluids Are Present[J]. Applied Mathematics and Mechanics, 1991, 12(2): 119-134.
[17]	Zhou Zhe-wei. On the Stability of Distorted Laminar Flow(Ⅲ)——The Nonlinear Stability Analysis of Distorted Parallel Shear Flow[J]. Applied Mathematics and Mechanics, 1989, 10(4): 285-295.
[18]	Zhou Zhe-wei. On the Stability of Distorted Laminar Flow(Ⅰ)——Basic Ideas and Theory[J]. Applied Mathematics and Mechanics, 1989, 10(2): 115-129.
[19]	Zhu Yong, Dai Shi-qiang. Quasi-Periodic Waves and Quasi-Solitary Waves in Stratified Fluid of Slowly Varying Depth[J]. Applied Mathematics and Mechanics, 1989, 10(3): 203-210.
[20]	Zhou Chin-fu. Higher-Order Theory of Internal Solitary Waves with a Free Surface in Two-Layer Fluid System of Finite Depth[J]. Applied Mathematics and Mechanics, 1987, 8(1): 69-77.