DOI QR코드

DOI QR Code

THE EFFECTS OF WALL BOUNDARY CONDITIONS ON MASS TRANSFER IN TURBULENT PIPE FLOW

난류 파이프 유동 내 물질전달에서의 경계조건 영향

  • Received : 2011.05.01
  • Accepted : 2012.05.30
  • Published : 2012.06.30

Abstract

Direct Numerical Simulation(DNS) of turbulent mass transfer in fully developed turbulent pipe flow has been performed to study the effect of wall boundary conditions on the concentration fields at $Re_{\tau}$=180 based on friction velocity and pipe radius. Fully developed turbulent pipe flows for Sc=0.71 are studied with two different wall boundary conditions, namely, constant mass flux and constant wall concentration. The mean concentration profiles and turbulent mass fluxes obtained from the present DNS are in good agreement with the previous numerical results currently available. To investigate the effects of wall boundary condition on the turbulent mass transfer, the mean concentration profile, root-mean-square of concentration fluctuation, turbulent mass fluxes and higher-order statistics(Skewness and Flatness factor) are compared for the two cases. Furthermore, the budgets of turbulent mass fluxes and concentration variance were computed and analyzed to elucidate the effects of wall boundary conditions on the turbulent mass transfer.

Keywords

References

  1. 1987, Kim, J., Moin, P. and Moser, R., "Turbulence statics in fully developed channel flow at low Reynolds number," J. Fluid Mech., Vol.177, pp.133-166. https://doi.org/10.1017/S0022112087000892
  2. 1992, Kasagi, N., Tomita, Y. and Kuroda, A., "Direct numerical simulation of passive scalar field in a turbulent channel flow," ASME J. Heat Transfer, Vol.114, pp.598-606. https://doi.org/10.1115/1.2911323
  3. 1998, Kawamura, H., Ohsaka, K., Abe, H. and Yamamoto, K., "DNS of turbulent heat transfer in channel flow with low to medium-high Prandtl number fluid," Int. J. Heat Fluid Flow, Vol.19, pp.482-491. https://doi.org/10.1016/S0142-727X(98)10026-7
  4. 1999, Kawamura, H., Abe, H. and Matsuo, Y., "DNS of turbulent heat transfer in channel flow with respect to Reynolds and Prandtl number effects," Int. J. Heat Fluid Flow, Vol.20, pp.196-207. https://doi.org/10.1016/S0142-727X(99)00014-4
  5. 2002, Satake, S. and Kunugi, T., "Direct numerical simulation of turbulent heat transfer in an axially rotating pipe flow; Reynolds shear stress and scalar flux budgets," Int. J. Numer. Method. Heat Fluid Flow, Vol.12(8), pp.958-1008. https://doi.org/10.1108/09615530210448723
  6. 2005, Piller, M., "Direct numerical simulation of turbulent forced convection in a pipe," Int. J. Numer. Meth. Fluids, Vol.49, pp.583-602. https://doi.org/10.1002/fld.994
  7. 2007, Redjem-Saad, L., Ould-Rouiss, M. and Lauriat, G., "Direct numerical simulation of turbulent heat transfer in pipe flows: Effect of Prandtl number," Int. J. Heat Fluid Flow, Vol.28, pp.847-861. https://doi.org/10.1016/j.ijheatfluidflow.2007.02.003
  8. 2011, Saha, S., Chin, C., Blackburn, H.M. and Ooi, A.S.H., "The influence of pipe length on thermal statistics computed from DNS of turbulent heat transfer," Int. J. Heat Fluid Flow, Vol.32, pp.1083-1097. https://doi.org/10.1016/j.ijheatfluidflow.2011.09.003
  9. 1996, Akselvoll, K. and Moin, P., "An efficient method for temporal integration of the Navier-Stokes equation in confined axisymmetric geometries," J. Comput. Phys. Vol.125, pp.454-463. https://doi.org/10.1006/jcph.1996.0107
  10. 1985, Kim, J. and Moin, P., "Application of a fractional-step method to incompressible Navier-Stokes equations," J. Comput. Phys. Vol.59, pp.308-323. https://doi.org/10.1016/0021-9991(85)90148-2
  11. 1994, Eggels, J.G.M., Unger, F., Weiss, M.H., Westerweel, J., Adrian, R.J., Friedrich, R. and Nieuwstadt, F.T.M., "Fully developed turbulent pipe flow : a comparison between direct numerical simulation and experiment," J. Fluid Mech., Vol.268, pp.175-209. https://doi.org/10.1017/S002211209400131X
  12. 2004, Bejan, A., Convection Heat Transfer 3ed, Wiley.
  13. 1981, Kader, B.A., "Temperature and concentration profiles in fully turbulent boundary layers," Int. J. Heat Mass Transfer, Vol.24(9), pp.1541-1544. https://doi.org/10.1016/0017-9310(81)90220-9
  14. 1991, Antonia, R.A. and Kim. J., "Turbulent Prandtl number in the near-wall region of a turbulent channel flow," Int. J. Heat Mass Transfer, Vol.34(7), pp.1905-1908. https://doi.org/10.1016/0017-9310(91)90166-C

Cited by

  1. 배관의 신축이음에서의 유동해석을 통한 융합기술연구 vol.6, pp.3, 2012, https://doi.org/10.15207/jkcs.2015.6.3.013
  2. 물탱크의 형상에 따른 유동 특성에 관한 융합 연구 vol.10, pp.6, 2012, https://doi.org/10.15207/jkcs.2019.10.6.185