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Implementation of Time Splitting Projection Method in water hammer modeling in deformable pipes

Niroomandi, A ; Sharif University of Technology | 2012

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  1. Type of Document: Article
  2. DOI: 10.1016/j.ijpvp.2012.07.002
  3. Publisher: Elsevier , 2012
  4. Abstract:
  5. In this paper Time Splitting Projection Method (TSPM) has been implemented to model transient flow in a deformable pipe. In addition a quasi-steady model and the Brunone unsteady model have been incorporated into the algorithm to consider the effect of static and dynamic friction on the shape and attenuation of pressure waves. The deformation of the cross section of the pipe due to the change of pressure has been considered using Hooke's Law of elasticity. Numerical results of the model have been compared with a simple analytical test and results of experimental measurements for water hammer problem with different Reynolds numbers in a simple pipeline system; besides, numerical stability analysis has been done to ensure that the behavior of the model is stable; Moreover, the accuracy of the model has been evaluated using L2 relative error norm. The results confirm that although TSPM has been used widely for incompressible phenomena, this semi-implicit method can model compressible flow equations of transient flow in closed conduits with high efficiency and proper stability
  6. Keywords:
  7. Deformable pipe ; Time splitting projection method ; Analytical tests ; Cross section ; Experimental measurements ; Hooke's Law ; Numerical results ; Numerical stability analysis ; Pipe-line systems ; Pressure waves ; Projection method ; Quasi-steady model ; Relative errors ; Semi-implicit methods ; Static and dynamic ; Time splitting ; Transient flow ; Elasticity ; Reynolds number ; Transition flow ; Water hammer ; Deformation
  8. Source: International Journal of Pressure Vessels and Piping ; Volume 98 , October , 2012 , Pages 30-42 ; 03080161 (ISSN)
  9. URL: http://www.sciencedirect.com/science/article/pii/S0308016112000877