DOI QR코드

DOI QR Code

REYNOLDS NUMBER EFFECTS ON MASS TRANSFER IN TURBULENT PIPE FLOW: PART I. MEAN CONCENTRATION FIELD AND LOW-ORDER STATISTICS

난류 파이프 유동 내 물질전달에 대한 레이놀즈 수 영향: Part I. 평균 농도장 및 저차 난류통계치

  • Received : 2012.03.26
  • Accepted : 2012.08.07
  • Published : 2012.09.30

Abstract

Large Eddy Simulation(LES) of turbulent mass transfer in fully developed turbulent pipe flow has been performed to study the effect of Reynolds number on the concentration fields at $Re_{\tau}=180$, 395, 590 based on friction velocity and pipe radius. Dynamic subgrid-scale models for the turbulent subgrid-scale stresses and mass fluxes were employed to close the governing equations. Fully developed turbulent pipe flows with constant mass flux imposed at the wall are studied for Sc=0.71. The mean concentration profiles and turbulent intensities obtained from the present LES are in good agreement with the previous numerical and experimental results currently available. To show the effects of Reynolds number on the turbulent mass transfer, the mean concentration profile, root-mean-square of concentration fluctuations, turbulent mass fluxes, cross-correlation coefficient, turbulent diffusivity and turbulent Schmidt number are presented.

Keywords

References

  1. 1968, Mahato, B.K., Voora, S.K. and Shemilt, L.W., "Steel pipe corrosion under flow conditions-I. An isothermal correlation for a mass transfer model," Corrosion Science, Vol.8, pp.173-193. https://doi.org/10.1016/S0010-938X(68)80199-4
  2. 1982, Sydberger, T. and Lotz, U., "Relation between mass transfer and corrosion in a turbulent pipe flow," J. Electrochem. Soc., Vol.129, No.2, pp.276-283. https://doi.org/10.1149/1.2123812
  3. 1986, Postlethwaite, J., Dobbin, M.H. and Bergevin, K., "The role of oxygen mass transfer in the erosion-corrosion of slurry pipelines," Corrosion, Vol.42, No.9, pp.514-521. https://doi.org/10.5006/1.3583060
  4. 1967, Gowen, R.A. and Smith, J.W., "The effect of the Prandtl number on temperature profiles for heat transfer in turbulent pipe flow," Chem. Eng. Sci., Vol.22, pp.1701-1711. https://doi.org/10.1016/0009-2509(67)80205-7
  5. 1972, Kader, B.A. and Yaglom, A.M., "Heat and mass transfer laws for fully turbulent wall flows," Int. J. Heat Mass Transfer, Vol.15, pp.2329-2351. https://doi.org/10.1016/0017-9310(72)90131-7
  6. 1977, Shaw, D.A. and Hanratty, T.J., "Turbulent mass transfer rates to a wall for large Schmidt numbers," AIChe J., Vol.23(1), pp.28-37. https://doi.org/10.1002/aic.690230106
  7. 1983, Campbell, J.A. and Hanratty, T.J., "Mechanism of turbulent mass transfer at a solid boundary," AIChe J., Vol.29(2), pp.221-229. https://doi.org/10.1002/aic.690290208
  8. 2000, Satake, S., Kunugi, T. and Himeno, R.., "High Reynolds number computation for turbulent heat transfer in a pipe flow," High Performance Computing, Lecture Notes in Computer Science, Vol.1940, pp.514-523.
  9. 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
  10. 1991, Germano, M., Piomelli, U., Moin, P. and Cabot, W.H., "A dynamic subgrid-scale eddy viscosity model," Phys. Fluids A, Vol.3(7), pp.1760-1765. https://doi.org/10.1063/1.857955
  11. 1991, Cabot, W.H. and Moin, P., "Large eddy simulation of scalar transport with the dynamic subgrid-scale model," Large Eddy Simulation of Complex Engineering and Geophysical Flows, ed. By B. Galperin, Cambridge University Press.
  12. 1995, Akselvoll, K. and Moin, P., "Large eddy simulation of turbulent confined coannualar jets and turbulent flow over a backward facing step," Technical Report TF-63, Department of Mechanical Engineering, Stanford University.
  13. 1992, Lilly, D.K., "A proposed modification of the Germano subgrid-scale closure method," Phys. Fluids A, Vol.4(3), pp.633-635. https://doi.org/10.1063/1.858280
  14. 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
  15. 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
  16. 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
  17. 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
  18. 1993, Isshiki, S., Obata, T., Kasagi, N. and Hirata, M., "An experimental study on heat transfer in a pulsating pipe flow(1st report, time-averaged turbulent characteristics)," Bulletin JSME, Vol.59, pp.2245-2251.
  19. 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
  20. 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
  21. 2000, Na, Y. and Hanratty, T.J., "Limiting behavior of turbulent scalar transport close to a wall," Int. J. Heat Mass Transfer, Vol.43, pp.1749-1758. https://doi.org/10.1016/S0017-9310(99)00258-6
  22. 1989, Kim, J. and Moin, P., "Transport of passive scalars in a turbulent channel flow," Turbulent shear flows 6, pp.35-96, Springer, Berlin.
  23. 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
  24. 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