Experimental Examination of Unsteady Friction Models for Transient Pipe Flow Simulation

Abstract

The paper presents a comparative analysis of calculations performed basing on the selected unsteady friction models and their validation based on the results of own experimental tests. The computer code developed for predicting transient pipe flows includes the models of: Zielke, Trikha, Vardy and Brown, Zarzycki, and Brunone et al. Our own experiments have been conducted at a test rig designed and constructed at the Institute of Fluid-Flow Machinery of the Polish Academy of Sciences (IMP PAN) in Gdansk in order to test transient pipe flows in a wide range of Reynolds numbers. The results following from this analysis enable the quantitative and qualitative assessment of the models under consideration.

Analytical expressions for effective weighting functions used during simulations of water hammer

“…The experimental data have been obtained in a copper pipeline at the IMP in Gdańsk by Adamkowski and Lewandowski (2006) and previously published. All the details of the experimental test rig and the numerical procedures input data are presented in Table 5.…”

“…The models of the above group are limited due to the need for empirical determination of the coefficients k t and k x . There are no papers that would show details of their numerical implementation; besides, they are characterized by a limited qualitative compatibility of pressure course being modelled (Adamkowski and Lewandowski, 2006), which is their major disadvantage.…”

Modern Modeling of Water Hammer

“…Unsteady flow of fluids in pipes under pressure is described mathematically using a pair of continuity (1) and motion (2) equations [24]:…”

“…Their installation must be preceded by a number of design tests. Due to the complexity of unsteady fluid flow in pressure lines, resulting from the superposition of the effects associated with many accompanying phenomena: cavitation [1,3,5,6,9,14,17], FSIfluid structure interaction [5,7,10,25], frequency dependent resistance [2,8,13,15,16,17,19,[21][22][23]26] or viscoelastic properties of polymer pipes [6,10,11,25]; it is necessary to use the help of numerical methods in the design calculations. They make it possible to solve partial differential equations, which describe the type of flow analyzed.…”

Application of Levenberg Marquardt Method for Calibration of Unsteady Friction Model for a Pipeline System

“…관망에서의 천이류의 정확한 모의는 전통적이고도, 현재 활발히 진행되는 중요 연구주제 중 하나이다 (Bergant et al, 2001;Adamkowski and Lewandowski, 2006;Vitkovsky et al, 2006 (Son, 1997).…”