.Numerical Modelling of Water Hammer Problems based on the Flux Wave Approach and Baldwin-Lomax Turbulence Model

علوم کاربردی و محاسباتی در مکانیک

Article 8, Volume 29, Issue 1 - Serial Number 17, May 2017, Pages 97-110   

Document Type: Original Article

DOI: 10.22067/fum-mech.v29i1.58072

Author

Hossein Mahdizadeh^*

University of Birjand

Abstract

In this paper the two-dimensional unsteady flow within the elastic pipes is modelled based on a Godunov-type wave propagation algorithm. The numerical solver applied herein treats the friction source term within the flux-differencing of the finite volume neighboring cells to calculate the relevant flux-waves. In order to include the unsteady friction term the Baldwin-Lomax turbulence model is utilized. First, the method is examined to model the water hammer problem for a pipe connected to reservoir and the obtained numerical results are compared with the exact solution with both frictionless and steady friction terms. Then, the proposed scheme is employed to simulate the flow within two pipes with different Reynolds number (Re=15800, Re=5800) and the numerical simulations are validated with the available experimental data.

Keywords

Water hammer problem; Wave propagation algorithm; Flux wave approach; Baldwin-Lomax method

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