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Published November 30, 2020 | Version v1
Journal article Open

STUDY OF THE BEHAVIOURS OF SINGLE-PHASE TURBULENT FLOW AT LOW TO MODERATE REYNOLDS NUMBERS THROUGH A VERTICAL PIPE. PART I: 2D COUNTERS ANALYSIS

  • 1. Southern Technical University

Description

This study presents a model to investigate the behavior of the single-phase turbulent flow at low to moderate Reynolds number of water through the vertical pipe through (2D) contour analysis. The model constructed based on governing equations of an incompressible Reynolds Average Navier-Stokes (RANS) model with (k-ε) method to observe the parametric determinations such as velocity profile, static pressure profile, turbulent kinetic energy consumption, and turbulence shear wall flows. The water is used with three velocities values obtained of (0.087, 0.105, and 0.123 m/s) to represent turbulent flow under low to moderate Reynolds number of the pipe geometry of (1 m) length with a (50.8 mm) inner diameter. The water motion behavior inside the pipe shows by using [COMSOL Multiphysics 5.4 and FLUENT 16.1] Software. It is concluded that the single-phase laminar flow of a low velocity, but obtained a higher shearing force; while the turbulent flow of higher fluid velocity but obtained the rate of dissipation of shearing force is lower than that for laminar flow. The entrance mixing length is affected directly with pattern of fluid flow. At any increasing in fluid velocity, the entrance mixing length is increase too, due to of fluid kinetic viscosity changes. The results presented the trends of parametric determinations variation through the (2D) counters analysis of the numerical model. When fluid velocity increased, the shearing force affected directly on the layer near-wall pipe. This leads to static pressure decreases with an increase in fluid velocities. While the momentum changed could be played interaction rules between the fluid layers near the wall pipe with inner pipe wall. Finally, the agreement between present results with the previous study of [1] is satisfied with the trend

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STUDY OF THE BEHAVIOURS OF SINGLE-PHASE TURBULENT FLOW AT LOW TO MODERATE REYNOLDS NUMBERS THROUGH A VERTICAL PIPE. PART I 2D COUNTERS ANALYSIS.pdf

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References

  • Den Toonder, J. M. J., Nieuwstadt, F. T. M. (1997). Reynolds number effects in a turbulent pipe flow for low to moderate Re. Physics of Fluids, 9 (11), 3398–3409. doi: https://doi.org/10.1063/1.869451
  • Hultmark, M., Vallikivi, M., Bailey, S. C. C., Smits, A. J. (2012). Turbulent Pipe Flow at Extreme Reynolds Numbers. Physical Review Letters, 108 (9). doi: https://doi.org/10.1103/physrevlett.108.094501
  • Nikitin, N. V. (1993). Direct three-dimensional numerical simulation of turbulence and transition in a pipe-Poiseuille flow. In Bulletin of APS, 38 (12), 2311.
  • Unger, F., Eggels, J. G. M., F'reidrich, R. (1993). On second and higher-order statistics in fully-developed turbulent pipe-flow. In Proc. 9th Symp. on Turbulent Shear Flows. Kyoto.
  • Davey, A., Nguyen, H. P. F. (1971). Finite-amplitude stability of pipe flow. Journal of Fluid Mechanics, 45 (4), 701–720. doi: https://doi.org/10.1017/s0022112071000284
  • Aydin, M., Fenner, R. T. (2001). Boundary element analysis of driven cavity flow for low and moderate Reynolds numbers. International Journal for Numerical Methods in Fluids, 37 (1), 45–64. doi: https://doi.org/10.1002/fld.164
  • Spedding, P. L., Benard, E., Mcnally, G. M. (2008). Fluid Flow through 90 Degree Bends. Developments in Chemical Engineering and Mineral Processing, 12 (1-2), 107–128. doi: https://doi.org/10.1002/apj.5500120109
  • Moghaddas, J. S., Trägårdh, C., Östergren, K., Revstedt, J. (2004). A Comparison of the Mixing Characteristics in Single- and Two-Phase Grid-Generated Turbulent Flow Systems. Chemical Engineering & Technology, 27 (6), 662–670. doi: https://doi.org/10.1002/ceat.200401986
  • Cheng, Y., Lien, F. S., Yee, E., Sinclair, R. (2003). A comparison of large Eddy simulations with a standard k–ε Reynolds-averaged Navier–Stokes model for the prediction of a fully developed turbulent flow over a matrix of cubes. Journal of Wind Engineering and Industrial Aerodynamics, 91 (11), 1301–1328. doi: https://doi.org/10.1016/j.jweia.2003.08.001
  • Morad, A. M. A. (2018). A Two-Phase Pressure Drop Model for Homogenous Separated Flow for Circular Tube Condenser, Examined with Four Modern Refrigerants. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 52 (2), 274–287.
  • Walters, D. K., Cokljat, D. (2008). A Three-Equation Eddy-Viscosity Model for Reynolds-Averaged Navier–Stokes Simulations of Transitional Flow. Journal of Fluids Engineering, 130 (12). doi: https://doi.org/10.1115/1.2979230
  • Ma, J. M., Peng, S.-H., Davidson, L., Wang, F. J. (2011). A low Reynolds number variant of partially-averaged Navier–Stokes model for turbulence. International Journal of Heat and Fluid Flow, 32 (3), 652–669. doi: https://doi.org/10.1016/j.ijheatfluidflow.2011.02.001
  • Kim, J., Yadav, M., Kim, S. (2014). Characteristics of Secondary Flow Induced by 90-Degree Elbow in Turbulent Pipe Flow. Engineering Applications of Computational Fluid Mechanics, 8 (2), 229–239. doi: https://doi.org/10.1080/19942060.2014.11015509
  • Lee, M. W., Yu, K. H., Teoh, Y. H., Lee, H. W., Ismail, M. A. (2019). Developing Flow of Power-Law Fluids in Circular Tube Having Superhydrophobic Transverse Grooves. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 56 (1).
  • Fox, R. W., McDonald, A. T., Pritchard, P. J. (2004). Introduction to fluid mechanics. John Wily & Sons INC.
  • Application of Direct and Large Eddy Simulation to Transition and Turbulence (1994). AGARD. North Atlantic Treaty Organization.
  • COMSOL 5.4 Software, Guide, Multiphysics 2018.
  • FLUENT 16.1 Software, Guide, ANSYS 2013.
  • Thakre, S. S., Joshi, J. B. (2002). Momentum, mass and heat transfer in single-phase turbulent flow. Reviews in Chemical Engineering, 18 (2-3), 83–293. doi: https://doi.org/10.1515/revce.2002.18.2-3.83