Journal of the Korean Society of Visualization (한국가시화정보학회지)

The Korean Society of Visualization (한국가시화정보학회)
권호 표지
DOI QR코드

DOI QR Code

Five layers in turbulent pipe flow

난류 파이프 유동 내 다섯 개의 영역

  • Ahn, Junsun (Department of Railway Vehicle System Engineering, Korea National University of Transportation) ;
  • Hwang, Jinyul (School of Mechanical Engineering, Pusan National University)
  • Received : 2020.11.19
  • Accepted : 2020.12.22
  • Published : 2020.12.31
Download PDF
⟨ Previous Next ⟩

Abstract

Five layers in mean flow are proposed by using the direct numerical simulation data of turbulent pipe flow up to Reτ = 3008. Viscous sublayer, buffer layer, mesolayer, log layer and core region are investigated. In the buffer layer, the viscous force is counterbalanced by the turbulent inertia from the streamwise mean momentum balance, and a log law occurs here. The overlap layer is composed of the mesolayer and the log layer. Above the buffer layer, the non-negligible viscous force causes the power law, and this region is the mesolayer, where it is the lower part of the overlap layer. At the upper part of the overlap layer, where the viscous force itself becomes naturally negligible, the log layer will appear due to that the acceleration force of the large-scale motions increases as the Reynolds number increases. In the core region, the velocity-defect form is satisfied with the power-law scaling.

Keywords

References

  1. Tennekes, H. and Lumley, J.L., 1972, "A First Course in Turbulence," MIT Press.
  2. Bradshaw, P., 1978, "Topics in applied physics," Springer-Verlag Berlin Heidelberg GmbH.
  3. Marusic, I., Monty, J.P., Hultmark, M. and Smits, A.J., 2013, "On the logarithmic region in wall turbulence," J. Fluid Mech. 716, R3. https://doi.org/10.1017/jfm.2012.511
  4. Barenblatt, G.I., 1993, "Scaling laws for fully developed turbulent shear flows. Part 1. Basic hypotheses and analysis," J. Fluid Mech. 248, 513-520. https://doi.org/10.1017/S0022112093000874
  5. McKeon, B.J., Li, J., Jiang, W., Morrison, J.F. and Smits, A.J., 2004, "Further observations on the mean velocity distribution in fully developed pipe flow," J. Fluid Mech. 501, 135-147. https://doi.org/10.1017/S0022112003007304
  6. Ahn, J., Lee, J.H., Lee, J., Kang, J.-H. and Sung, H.J., 2015, "Direct numerical simulation of a 30R long turbulent pipe flow at Reτ = 3008," Phys. Fluids 27 (6), 065110. https://doi.org/10.1063/1.4922612
  7. Long, R.R. and Chen, T.C., 1981, "Experimental evidence for the existence of the 'meso- layer' in turbulent systems," J. Fluid Mech. 105, 19-59. https://doi.org/10.1017/S0022112081003108
  8. Wei, T., Fife, P., Klewicki, J. and McMurtry, P., 2005, "Properties of the mean momentum balance in turbulent boundary layer, pipe and channel flows," J. Fluid Mech. 522, 303-327. https://doi.org/10.1017/S0022112004001958
  9. Ahn, J., Lee, J.H., Jang, S.J. and Sung, H.J., 2013, "Direct numerical simulations of fully developed turbulent pipe flows for Reτ = 180, 544, and 934," Int. J. Heat Fluid Flow 44, 222-228. https://doi.org/10.1016/j.ijheatfluidflow.2013.05.022
  10. Kim, K., Baek, S.-J. and Sung, H.J., 2002, "An implicit velocity decoupling procedure for the incompressible Navier-Stokes equations," Int. J. Numer. Method Fluids 38, 125-138. https://doi.org/10.1002/fld.205
  11. Oberlack, M., 1999, "Similarity in non-rotating and rotating turbulent pipe flows," J. Fluid Mech. 379, 1-22. https://doi.org/10.1017/S0022112098001542
  12. Afzal, N., 1982, "Fully developed turbulent flow in a pipe: an intermediate layer," Ing.-Arch. 52, 355-377. https://doi.org/10.1007/BF00536208
  13. Ahn, J., Lee, J. and Sung, H.J., 2017, "Contribution of large-scale motions to the Reynolds shear stress in turbulent pipe flows," Int. J. Heat Fluid Flow 66, 209-216. https://doi.org/10.1016/j.ijheatfluidflow.2017.06.009
  14. Chin, C., Philip, J., Klewicki, J., Ooi, A., and Marusic, I. 2014, "Reynolds-number-dependent turbulent inertia and onset of log region in pipe flows," J. Fluid Mech. 757, 747-769. https://doi.org/10.1017/jfm.2014.486
  15. Hwang, J. and Sung, H.J., 2019, "Wall-attached clusters for the logarithmic velocity law in turbulent pipe flow," Phys. Fluids 31, 055109. https://doi.org/10.1063/1.5096433
  16. Vallikivi, M., Ganapathisubramani B., Smits, A.J., 2015, "Spectral scaling in boundary layers and pipes at very high Reynolds numbers," J. Fluid Mech. 771, 303-326. https://doi.org/10.1017/jfm.2015.181