Summary
Fully developed turbulent channel flow with passive heat transfer has been calculated to investigate the turbulent heat transfer by use of the large eddy simulation (LES) approach coupled with dynamic subgrid-scale (SGS) models. The objectives of this study are to examine the effectiveness of the LES technique for predicting the turbulent heat transfer at high Prandtl numbers and the effects of the Prandtl number on the turbulent heat transfer in a fully developed turbulent channel flow. In the present study, the Prandtl number is chosen as 0.1 to 200, and the Reynolds number, based on the central mean velocity and the half-width of the channel, is 104. Some typical cases are computed and compared with available data obtained by direct numerical simulation (DNS), theoretical analysis and experimental measurement, respectively, which confirm that the present approach can be used to predict the heat transfer satisfactorily, even at high Prandtl numbers. To depict the effect of the Prandtl number on turbulent heat transfer, the distributions of mean value and fluctuation of resolved flow temperatures, the heat transfer coefficient, turbulent heat fluxes, and some instantaneous iso-thermal sketches are analyzed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Kim, J., Moin, P.: Transport of passive scalars in a turbulent channel flow. In: Turbulent shear flows (Andre, J.-C. et al., eds.),6, pp. 85–96 New York: Springer-Verlag 1989.
Antonia, R. A., Kim, J.: Turbulent Prandtl number in the near-wall region of a turbulent channel flow. Int. J. Heat Mass Transfer34, 1905–1908 (1991).
Antonia, R. A., Kim, J.: Low-Reynolds number effects on near turbulence. J. Fluid Mech.276, 61–80 (1994).
Kasagi, N., Tomita, Y., Kuroda, A.: Direct numerical simulation of passive scalar field in a turbulent channel flow. ASME J. Heat Transf.144, 598–606 (1992).
Wikström, P. M., Johansson, A. V.: DNS and scalar-flux transport modelling in a turbulent channel flow. Proc. 2nd EF Conf. Turbulent Heat Transf. 1, pp. 6.46–6.51. Manchester, UK 1998.
Kawamura, H., Ohsaka, K., Abe, H., Yamamoto, K.: DNS of turbulent heat transfer in channel flow with low to medium-high Prandtl number fluid. Int. J. Heat Fluid Flow19, 482–491 (1998).
Kawamura, H., Abe, H., Matsuo, Y.: DNS of turbulent heat transfer in channel flow with respect to Reynolds and Prandtl number effects. Int. J. Heat Fluid Flow20, 196–207 (1999).
Na, Y., Papavassiliou, D. V., Hanratty, T. J.: Use of direct numerical simulation to study the effect of Prandtl number on temperature fields. Int. J. Heat Fluid Flow20, 187–195 (1999).
Germano, M., Piomelli, U., Moin, P., Cabot, W.: A dynamic subgrid-scale eddy viscosity model. Phys. Fluids3, 1760–1765 (1991).
Smagorinsky, J.: General circulation experiments with the primitive equations. I. The basic experiment. Mon. Wea. Rev.91, 99–165 (1963).
Liu, N. Y., Lu, X. Y., Zhuang, L. X.: A new dynamic subgrid-scale model for the large eddy simulation of stratified turbulent flows. Science in China43, 391–399 (2000).
Zhong, F. Q., Liu, N. S., Lu, X. Y., Zhuang, L. X.: An improved dynamic subgrid-scale model for the large eddy simulation of stratified channel flow. Science in China45, 888–899 (2002).
Kim, J., Moin, P.: Application of fractional-step method to incompressible Navier-Stokes equations. J. Comput. Phys.59, 308–323 (1985).
Verzicco, R., Orlandi, P.: A finite-difference scheme for three-dimensional incompressible flows in cylindrical coordinates. J. Comput. Phys.123, 402–414 (1996).
Lu, X. Y., Dalton, C., Zhang, J.: Application of large eddy simulation to an oscillating flow past a circular cylinder. ASME J. Fluids Engng119, 519–525 (1997).
Moin, P., Kim, J.: Numerical investigation of turbulent channel flow. J Fluid Mech.118, 341–377 (1982).
Kader, B. A., Yaglom, A. M.: Heat and mass transfer laws for fully turbulent wall flows. Int. J. Heat Mass Transfer15, 2329–2342 (1972).
Shaw, D. A., Hanratty, T. J.: Turbulent mass transfer rates to a wall for large Schmidt number. AIChE J.23, 28–35 (1977).
Nagano, Y., Shimada, M.: Development of a two-equation heat transfer model based on direct simulations of turbulent flows with different Prandtl numbers. Phys. Fluids8, 3379–3402 (1996).
Calmet, I., Magnaudet, J.: Large-eddy simulation of high-Schmidt number mass transfer in a turbulent channel flow. Phys. Fluids9, 438–455 (1997).
Tennekes, H., Lumley, J. L.: A first course in turbulence. pp. 95–97. Cambridge: MIT Press, 1972.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Dong, Y.H., Lu, X.Y. & Zhuang, L.X. An investigation of the Prandtl number effect on turbulent heat transfer in channel flows by large eddy simulation. Acta Mechanica 159, 39–51 (2002). https://doi.org/10.1007/BF01171446
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01171446