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Research Papers: Flows in Complex Systems

On the Propagation and Attenuation of Turbulent Fluid Transients in Circular Pipes

[+] Author and Article Information
E. M. Wahba

Mechanical Engineering Department,
Faculty of Engineering,
Alexandria University,
Alexandria 21544, Egypt
e-mail: emwahba@yahoo.com

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received March 2, 2015; final manuscript received August 24, 2015; published online October 14, 2015. Assoc. Editor: Olivier Coutier-Delgosha.

J. Fluids Eng 138(3), 031106 (Oct 14, 2015) (7 pages) Paper No: FE-15-1137; doi: 10.1115/1.4031557 History: Received March 02, 2015; Revised August 24, 2015

The attenuation of turbulent fluid transients in pipes is numerically investigated in the present study using one-dimensional (1D) and two-dimensional (2D) water hammer models. The method of characteristics (MOC) is used for the integration of the 1D model, while the semidiscretization approach and the fourth-order accurate Runge–Kutta method are used for the integration of the 2D model. The present results for a reservoir–pipe–valve system indicate that the damping of the transient is governed by a nondimensional parameter representing the ratio of the steady-state frictional head to the Joukowsky pressure head. Based on this parameter, the attenuation of the transient could be classified into three main categories. The first category is for values of the nondimensional parameter much smaller than unity, where attenuation of the transient is insignificant and line packing effects are negligible. The second category is for values of the parameter approaching unity, where the attenuation of the transient is significant and line packing results in a pressure rise at the valve that is slightly higher than the Joukowsky pressure rise. The third category is for values of the parameter much greater than unity, such as in long cross-country pipelines, where the transient is damped out within a few cycles and excessive line packing effects would result in a pressure rise at the valve that is significantly larger the Joukowsky pressure rise.

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References

Figures

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Fig. 1

Grid independence study for the pressure transient at the valve for test case (a)

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Fig. 2

Grid independence study for the pressure transient at the midpoint for test case (a)

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Fig. 3

Validation of the numerical procedure—pressure transient at the valve for test case (a)

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Fig. 4

Validation of the numerical procedure—pressure transient at the midpoint for test case (a)

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Fig. 5

Comparison of the attenuation of the transient at the valve for test cases (a) and (b)

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Fig. 6

Comparison of the attenuation of the transient at the midpoint for test cases (a) and (b)

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Fig. 7

Parametric study for the attenuation of the transient at the valve for test case (a)

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Fig. 8

Parametric study for the attenuation of the transient at the midpoint for test case (a)

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Fig. 10

Parametric study for the attenuation of the transient at the midpoint for test case (b)

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Fig. 9

Parametric study for the attenuation of the transient at the valve for test case (b)

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Fig. 11

Pressure transient at the valve for test case (c)

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Fig. 12

Line packing as a function of the nondimensional parameter λ

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