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Effect of High Reynolds Number on the Behaviour of Large and Very Large Scale Motions in Fully Developed Turbulent Pipe Flow

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Abstract

The experimental investigation of fully-developed turbulent pipe flow is performed to study contribution of the coherent structures to the kinetic energy over a special range of high Reynolds numbers. The experiment is carried out in the pipe test facility located at Brandenburg University of Technology, Germany. One-dimensional spectral analysis is used to assess the structure behaviour in the outer region of pipe flow. The results of power and pre-multiplied spectrum of streamwise velocity indicate that the wavelength of very large scale motions (VLSMs) acquires 19R, where R is the pipe radius, at the maximum Reynolds number range ReD = ubD/ν = 1 × 106, where ub is the bulk velocity, D is the pipe diameter, and ν is the kinematic viscosity. At the same time, the large-scale motions (LSMs) have the extreme wavelength equal to 3R over various Reynolds number ranges. According to the identified wavelength values, it is observed that contribution of the energy to the structures greater than 3R carries 55% of the total kinetic energy.

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ACKNOWLEDGMENTS

The authors also wish to thank our colleague El-Sayed Zanoun for his support during hot-wire anemometry measurements.

Funding

The authors wish to thank the DFG (grant no. EG100/24) for the experimental finance and BTU Gleichstellungsbüro (women equality office) for their support and research finance, as well as the EFRE program of EU for financial support for the measurement system.

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Authors and Affiliations

  1. Brandenburg University of Technology Cottbus-Senftenberg, Department of Aerodynamics and Fluid Mechanics, Cottbus, Germany

    Z. A. Hallol, M. I. Yousry, S. Merbold & C. Egbers

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  1. Z. A. Hallol
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  2. M. I. Yousry
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  3. S. Merbold
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  4. C. Egbers
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Correspondence to Z. A. Hallol or C. Egbers.

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Hallol, Z.A., Yousry, M.I., Merbold, S. et al. Effect of High Reynolds Number on the Behaviour of Large and Very Large Scale Motions in Fully Developed Turbulent Pipe Flow. Fluid Dyn 57, 524–537 (2022). https://doi.org/10.1134/S0015462822040048

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