Numerical modelling of unsteady turbulent flow in smooth-walled pipes

Reference:

Johnston, D. N., 2011. Numerical modelling of unsteady turbulent flow in smooth-walled pipes. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 225 (7), pp. 1601-1615.

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Official URL:

http://dx.doi.org/10.1177/0954406211400796

Abstract

An efficient numerical model for turbulent friction has been developed for smooth-walled pipe flow. The aim was to develop a new approach to the numerical modelling, eliminating some important approximations and sources of error, such that the method can be applied reliably under a wide range of conditions. A simple two-region model of effective viscosity is used. For short timescales the turbulence level and effective viscosity distribution are ‘frozen’ in time. The velocity profile is determined numerically for a range of frequencies and viscosity distributions, and this is used to determine the frequency-dependent friction. This is then approximated using simple weighing functions.

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