DOI QR코드

DOI QR Code

Numerical Investigation of the Moving Wall Effects in Turbulent Channel Flows

난류채널유동에서 움직이는 벽면에 대한 수치연구

  • Hwang, Jun Hyuk (School of Mechanical, Aerospace and Nuclear Engineering, Ulsan National Institute of Science and Technology) ;
  • Lee, Jae Hwa (School of Mechanical, Aerospace and Nuclear Engineering, Ulsan National Institute of Science and Technology)
  • Received : 2017.11.29
  • Accepted : 2017.12.20
  • Published : 2017.12.31

Abstract

Direct numerical simulations of turbulent channel flows with moving wall conditions on the top wall are performed to examine the effects of the moving wall on the turbulent characteristics. The moving wall velocity only applied to the top wall with the opposite direction to the main flow is systematically varied to reveal the sustained-mechanism for turbulence. The turbulence statistics for the Couette-Poiseuille flow, such as mean velocity, root mean square of the velocity fluctuations, Reynolds shear stress and pre-multiplied energy spectra of the velocity fluctuations, are compared with those of canonical turbulent channel flows. The comparison suggests that although the turbulent activity on the top wall increases with increasing the Reynolds number, that on the bottom wall decreases, contrary to the previous finding for the canonical turbulent channel flows. The increase of the turbulent energy on the top wall is attributed to not only the increase of the Reynolds number but also elongation of the logarithmic layer due to increase of the wall layer on the top wall. However, because the logarithmic layer is shortened on the bottom wall due to the decrease of the wall layer, the turbulence energy on the bottom wall decreases despite of the increase of the Reynolds number.

Keywords

References

  1. Hoyas, S. and Jimenez, J., 2006, "Scaling of the velocity fluctuations in turbulent channels up to $Re{\tau}$= 2003," Physics of fluids, Vol. 18(1), pp. 011702 https://doi.org/10.1063/1.2162185
  2. Bernardini, M., Pirozzoli, S. and Orlandi, P., 2014, "Velocity statistics in turbulent channel flow up to Re ${\tau}$=4000," J. Fluid Mech., Vol. 742, pp.171-191. https://doi.org/10.1017/jfm.2013.674
  3. Lee, M. and Moser, R. D., 2015, "Direct numerical simulation of turbulent channel flow up to Re ${\tau}$=5200," J. Fluid Mech., Vol. 774, pp.395-415. https://doi.org/10.1017/jfm.2015.268
  4. Orlandi, P., Bernardini, M. and Pirozzoli, S., 2015, "Poiseuille and Couette flows in the transitional and fully turbulent regime," J. Fluid Mech., Vol. 770, pp.424-441. https://doi.org/10.1017/jfm.2015.138
  5. Pirozzoli, S., Bernardini, M. and Orlandi. P., 2011, "Large-scale motions and inner/outer layer interactions in turbulent Couette-Poiseuille flows," J. Fluid Mech., Vol. 680, pp.534-563. https://doi.org/10.1017/jfm.2011.186
  6. Moser, R. D., Kim, J. and Mansour, N. N., 1999, "Direct numerical simulation of turbulent channel flow up to Re ${\tau}$=590," J. Fluid Mech., Vol. 11(4), pp.943-945.
  7. Abe, H., Kawamura, H. and Matsuo, T., 2001, "Direct numerical simulation of a fully developed turbulent channel flow with respect to the Reynolds number dependence, "J. Fluids Engineering, Vol. 234(2), pp.382-393.
  8. Hu, Z. W., Morfey, C. L. and Sandham, N. D., 2006, "Wall pressure and shear stress spectra from direct simulations of channel flow," AIAA journal, Vol. 44(7), pp.1541-1549. https://doi.org/10.2514/1.17638
  9. Wallace, J. M., 2016, "Quadrant analysis in turbulence research: history and evolution," Annu. Rev. Fluid Mech, Vol.48, pp.131-158. https://doi.org/10.1146/annurev-fluid-122414-034550
  10. Robinson, S. K., 1991, "Coherent motions in the turbulent boundary layer," Ann. Rev. Fluid Mech., Vol. 23, pp.601-639. https://doi.org/10.1146/annurev.fl.23.010191.003125
  11. Guala, M., Hommema, S. E. and Adrian, R. J., 2006, "Large-scale and very-large-scale motions in turbulent pipe flow," J. Fluid Mech., Vol. 554, pp.521-542. https://doi.org/10.1017/S0022112006008871
  12. Hutchins, N. and Marusic, I., 2007, "Evidence of very long meandering features in the logarithmic region of turbulent boundary layers," J. Fluid Mech., Vol. 579, pp.1-28. https://doi.org/10.1017/S0022112006003946
  13. Mathis, R., Hutchins, N. and Marusic, I., 2009, "Large-scale amplitude modulation of the small-scale structures in turbulent boundary layers," J. Fluid Mech., Vol. 628, pp.311-337. https://doi.org/10.1017/S0022112009006946
  14. Monty, J. P., Hutchins, N., Ng, H. C. H., Marusic, I. and Chong, M. S., 2009, "A comparison of turbulent pipe, channel and boundary layer flows," J. Fluid Mech, Vol. 632, pp. 431-442. https://doi.org/10.1017/S0022112009007423
  15. Chin, C., Monty, J. P. and Ooi, A., 2014, "Reynolds number effects in DNS of pipe flow and comparison with channels and boundary layers," Intl J. Heat Fluid Flow, Vol.45, pp.33-40. https://doi.org/10.1016/j.ijheatfluidflow.2013.11.007