Abstract

Aim of this study is to evaluate a zero-equation turbulence model. A fully-developed turbulent pipe flow was simulated. Uncertainty was approximated through grid-independence and model validation. Results for mean axial velocity, u + and Reynolds stress had maximum error of 5%, while results for the friction factor had negligible error. The mean axial velocity was shown to increase and extend farther in the outer layer with increasing Reynolds number, up to 10 6 . There was no effect of Reynolds number on u + below wall distance, Y + , of 100. Similar to the friction velocity, peak of the Reynolds stress was shown to increase and extend farther in the outer layer with increasing Reynolds number. There was no effect of Reynolds number on Reynolds stress below wall distance of 20. The new turbulence model is equally applicable to developing and external flows using the same constant. For wall- bounded flows, the constant is a function of wall roughness.

Highlights

  • The problem of turbulence dates back to the days of Claude-Louis Navier and George Gabriel Stokes, as well as others in the early nineteenth century

  • Several Direct Numerical Simulation (DNS) studies on turbulent pipe flow have been performed recently, including Eggels et al (1993), Loulou et al (1997) and Wu and Moin (2008). The latter has carried out DNS on a turbulent pipe flow at Reynolds number of 44,000, which is the largest among the three studies

  • Large Eddy Simulation (LES) is another tool that somewhat bridges between DNS and Reynolds-averaged Navier-Stokes (RANS) methods

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Summary

Introduction

The problem of turbulence dates back to the days of Claude-Louis Navier and George Gabriel Stokes, as well as others in the early nineteenth century. The latter has carried out DNS on a turbulent pipe flow at Reynolds number of 44,000, which is the largest among the three studies. Reynolds stresses and turbulent intensities are presented and discussed, along with visualization of flow structure.

Results
Conclusion

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