Numerical study of turbulent channel flow with strong temperature gradients

International Journal of Numerical Methods for Heat and Fluid Flow - 2008
BamdadLessani1, Miltiadis V.Papalexandris1
1Département de Mécanique, Université Catholique de Louvain, Louvain‐la‐Neuve, Belgium

Tóm tắt

PurposeThis paper sets out to perform a detailed numerical study of turbulent channel flow with strong temperature gradients using large‐eddy simulations.Design/methodology/approachA recently developed time‐accurate algorithm based on a predictor‐corrector time integration scheme is used in the simulations. Spatial discretization is performed on a collocated grid system using a flux interpolation technique. This interpolation technique avoids the pressure odd‐even decoupling problem that is typically encountered in collocated grids. The eddy viscosity is calculated with the extension of the dynamic Smagorinsky model to variable‐density flows.FindingsThe mean velocity profile at the cold side deviates from the classical isothermal logarithmic law of the wall. Nonetheless, at the hot side, there is a better agreement between the present results and the isothermal law of the wall. Further, the numerical study predicts that the turbulence kinetic energy near the cold wall is higher than near the hot one. In other words heat addition tends to laminarize the channel flow. The temperature fluctuations were also higher in the vicinity of the cold wall, even though the peak of these fluctuations occurs at the side of the hot wall.Practical implicationsThe findings of the paper have applications in the design and analysis of convective heat transfer equipment such as heat exchangers and cooling systems of nuclear reactors.Originality/valueThe paper presents the first numerical results for non‐isothermal turbulent channel flow with high wall‐temperature ratios (up to 9). These findings can be of interest to scientists carrying out research in turbulent flows.

Từ khóa


Tài liệu tham khảo

Dalley, L.D., Meng, N. and Pletcher, R.H. (2003), “Large‐eddy simulation of constant heat flux turbulent channel flow with property variations: quasi‐developed model and mean flow results”, J. Heat Transfer‐Transaction ASME, Vol. 125 No. 1, pp. 27‐38.

Hartel, C., Kleiser, L., Unger, F. and Friedrich, R. (1994), “Subgrid scale energy transfer in the near‐wall region of turbulent flows”, Phys. Fluids, Vol. 6 No. 9, pp. 3130‐43.

Kim, J., Moin, P. and Moser, R.D. (1987), “Turbulence statistics in fully developed channel flow at low Reynolds number”, J. Fluid Mech., Vol. 177, pp. 133‐66.

Lenormand, E., Sagaut, P. and Phuoc, L.T. (2000), “Large‐eddy simulation of subsonic and supersonic channel flow at moderate Reynolds number”, Int. J. Num. Meth. Fluids, Vol. 32 No. 4, pp. 369‐406.

Lessani, B. and Papalexandris, M.V. (2006), “Time‐accurate calculation of variable‐density flows with strong temperature gradients and combustion”, J. Comput. Phys., Vol. 212, pp. 218‐46.

Lilly, D. (1992), “A proposed modification of the Germano subgrid‐scale closure method”, Phys. Fluids A, Vol. 4, pp. 633‐5.

Majda, A. and Sethian, J. (1985), “The derivation and numerical solution of the equations for zero Mach number combustion”, Combustion Science and Technology, Vol. 42, p. 185.

Moin, P., Squires, K., Cabot, W. and Lee, S. (1991), “A dynamic subgrid‐scale model for compressible turbulence and scalar transport”, Phys. Fluids, Vol. 3, pp. 2746‐57.

Morinishi, Y., Lund, T., Vasilyev, O.V and Moin, P. (1998), “Fully conservative higher order finite difference schemes for incompressible flow”, J. Comput. Phys., Vol. 143, p. 90.

Nicoud, F. (2000), “Conservative high‐order finite difference schemes for low‐Mach number flows”, J. Comput. Phys., Vol. 158, pp. 71‐97.

Okong'o, N., Knight, D.D. and Zhou, G. (2000), “Large‐eddy simulations using an unstructured grid compressible Navier‐Stokes algorithm”, Int. J. Comp. Fluid Dynamics, Vol. 13 No. 4, pp. 303‐26.

Rhie, C.M. and Chow, W.L. (1983), “A numerical study of the turbulent flow past an airfoil with trailing edge separation”, AIAA J., Vol. 21, p. 1525.

Terracol, M., Sagaut, P. and Basdevant, C. (2000), “A multilevel algorithm for large‐eddy simulation of turbulent compressible flows”, Comptes Rendus de l'academie des Sciences, Serie II, Fascicule B‐Mecanique,Physique, Astronomie, Vol. 328 No. 1, pp. 81‐6.

Vazquez, M.S. and Metais, O. (2002), “Large‐eddy simulation of the turbulent flow through a heated square duct”, J. Fluid Mech., Vol. 453, pp. 201‐38.

von Kaenel, R., Adams, N.A., Kleiser, L. and Vos, J.B. (2002), “The approximate deconvolution model for large‐eddy simulation of compressible flows with finite volume schemes”, J. Fluids Eng. Trans. ASME, Vol. 124 No. 4, pp. 829‐35.

Wang, W.P. and Pletcher, R.H. (1996), “On the large‐eddy simulation of a turbulent channel flow with significant heat transfer”, Phys. Fluids, Vol. 8 No. 12, pp. 3354‐66.

Xu, X.F., Lee, J.S., Pletcher, R.H., Shehata, A.M. and McEligot, D.M. (2004), “Large‐eddy simulation of turbulent forced gas flows in vertical pipes with high heat transfer rates”, Int. J. Heat Mass Transfer, Vol. 47 Nos 19/20, pp. 4113‐23.

Thông tin
Thông tin xuất bản

International Journal of Numerical Methods for Heat and Fluid Flow

Thông tin tác giả