DOI QR코드

DOI QR Code

REYNOLDS NUMBER EFFECTS ON MASS TRANSFER IN TURBULENT PIPE FLOW: PART II. INSTANTANEOUS CONCENTRATION FIELD, HIGHER-ORDER STATISTICS AND MASS TRANSFER BUDGETS

난류 파이프 유동 내 물질전달에 대한 레이놀즈 수 영향: Part II. 순간농도장, 고차 난류통계치 및 물질전달수지

  • 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. The effects of Reynolds number on the turbulent mass transfer are identified in the higher-order statistics(Skewness and Flatness factor) and instantaneous concentration fields. The budgets of turbulent mass fluxes and concentration variance were computed and analyzed to elucidate the effect of Reynolds number on turbulent mass transfer. Furthermore, to understand the correlation between near-wall turbulence structure and concentration fluctuation, we present an octant analysis in the vicinity of the pipe wall.

Keywords

Acknowledgement

Supported by : 한국연구재단

References

  1. 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
  2. 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
  3. 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. Meth. Heat Fluid Flow, Vol.12(8), pp.958-1008. https://doi.org/10.1108/09615530210448723
  4. 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, Stanfort University.
  5. 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
  6. 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.
  7. 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
  8. 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
  9. 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
  10. 1994, Volino, R.J. and Simon, T.W., "An application of octant analysis to turbulent and transitional flow data," J. Turbomachinery, Vol.116, pp.752-758. https://doi.org/10.1115/1.2929469
  11. 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