Review of unsteady friction models in transient pipe flow
Date
1999
Authors
Bergant, A.
Simpson, A.
Vitkovsky, J.
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Conference paper
Citation
9th International Meeting on the Behaviour of Hydraulic Machinery Under Steady Oscillatory Conditions, International Association of Hydraulic Research, Brno, Czech Republic, 7 Sep - 9 Sep 1999, 14 p
Statement of Responsibility
Anton Bergant, Angus Simpson and John Vitkovsky
Conference Name
International Meeting on the Behaviour of Hydraulic Machinery Under Steady Oscillatory Conditions (9th : 1999 : Brno, Czech Republic)
Abstract
This paper reviews a number of unsteady friction models for transient pipe flow. Two distinct unsteady friction models, the Zielke and the Brunone models, are investigated in detail. The Zielke model, originally developed for transient laminar flow, has been selected to verify its effectiveness for "low Reynolds number" transient turbulent flow. The Brunone model combines local inertia and wall friction unsteadiness. This model is verified using the Vardy's analytically deduced shear decay coefficient C* to predict the Brunone's friction coefficient k rather than use the traditional trial and error method for estimating k. The two unsteady friction models have been incorporated into the method of characteristics water hammer algorithm. Numerical results from the quasi-steady friction model and the Zielke and the Brunone unsteady friction models are compared with results of laboratory measurements for water hammer cases with laminar and low Reynolds number turbulent flows. Conclusions about the range of validity for the three friction models are drawn. In addition, the convergence and stability of these models are addressed.
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