zbMATH — the first resource for mathematics

An investigation of turbulent open channel flow with heat transfer by large eddy simulation. (English) Zbl 1115.76337
Summary: Large eddy simulation of fully developed turbulent open channel flow with heat transfer is performed. The three-dimensional filtered Navier-Stokes and energy equations are numerically solved using a fractional-step method. Dynamic subgrid-scale (SGS) models for the turbulent SGS stress and heat flux are employed to close the governing equations. Two typical temperature boundary conditions, i.e., constant temperature and constant heat flux being maintained at the free surface, respectively, are used. The objective of this study is to explore the behavior of heat transfer in the turbulent open channel flow for different temperature boundary conditions and to examine the reliability of the LES technique for predicting turbulent heat transfer at the free surface, in particular, for high Prandtl number. Calculated parameters are chosen as the Prandtl number \((Pr)\) from 1 up to 100, the Reynolds number \((Re_{\tau})\) 180 based on the wall friction velocity and the channel depth. Some typical quantities, including the mean velocity, temperature and their fluctuations, heat transfer coefficients, turbulent heat fluxes, and flow structures based on the velocity, vorticity and temperature fluctuations, are analyzed.

76F25 Turbulent transport, mixing
76F65 Direct numerical and large eddy simulation of turbulence
76D05 Navier-Stokes equations for incompressible viscous fluids
80A20 Heat and mass transfer, heat flow (MSC2010)
Full Text: DOI
[1] Nakagawa, H.; Nezu, I., Structure of space – time correlations of bursting phenomena in open-channel flow, J. fluid mech, 104, 1-43, (1981)
[2] Komori, S.; Ueda, H.; Fumimaru, O.; Mizushina, T., Turbulence structure and transport mechanism at a free surface in an open channel flow, Int. J. heat mass transfer, 25, 513-523, (1982)
[3] Komori, S.; Murakami, Y.; Ueda, H., The relationship between surface-renewal and bursting motions in an open-channel, J. fluid mech, 203, 103-123, (1989)
[4] Komori, S.; Nagaosa, R.; Muramami, Y., Turbulence structure and mass transfer across a sheared air – water interface in wind driven turbulence, J. fluid mech, 249, 161-183, (1993)
[5] Kumar, S.; Gupta, R.; Banerjee, S., An experimental investigation of the characteristics of free-surface turbulence in channel flow, Phys. fluids, 10, 437-456, (1998)
[6] Rashidi, M.; Banerjee, S., Turbulence structure in free surface flows, Phys. fluids, 31, 2491-2503, (1988)
[7] Rashidi, M.; Hetstroni, G.; Banerjee, S., Mechanisms of heat and mass transport at gas – liquid interfaces, Int. J. heat mass transfer, 34, 1799-1805, (1991)
[8] Rashidi, M., Burst-interface interactions in free surface turbulent flows, Phys. fluids, 9, 3485-3501, (1997)
[9] Volino, R.J.; Smith, G.B., Use of simultaneous IR temperature measurements and DPIV to investigate thermal plumes in a thick layer colled from above, Exp. fluids, 27, 70-78, (1999)
[10] Komori, S.; Nagaosa, R.; Murakami, Y.; Chiba, S.; Ishii, K.; Kuwahara, K., Direct numerical simulation of three-dimensional open-channel flow with zero-shear gas – liquid interface, Phys. fluids, 5, 115-125, (1993) · Zbl 0825.76572
[11] Pan, Y.; Banerjee, S., A numerical study of free-surface turbulence in channel flow, Phys. fluids, 7, 1649-1664, (1995) · Zbl 1023.76564
[12] Lombardi, P.; De Angelis, V.; Banerjee, S., Direct numerical simulation of near-interface turbulence in coupled gas – liquid flow, Phys. fluids, 8, 1643-1665, (1996) · Zbl 1087.76053
[13] Tsai, W.-T., A numerical study of the evolution and structure of a turbulent shear layer under a free surface, J. fluid mech, 354, 239-276, (1998) · Zbl 0920.76059
[14] Nagaosa, R., Direct numerical simulation of vortex structures and turbulent scalar transfer across a free surface in a fully developed turbulence, Phys. fluids, 11, 1581-1595, (1999) · Zbl 1147.76465
[15] Handler, R.A.; Saylor, J.R.; Leighton, R.I.; Rovelstad, A.L., Transport of a passive scalar at a shear-free boundary in fully developed turbulent open channel flow, Phys. fluids, 11, 2607-2625, (1999) · Zbl 1149.76401
[16] Shen, L.; Triantafyllou, G.S.; Yue, D.K.P., Mixing of a passive scalar near a free surface, Phys. fluids, 13, 913-926, (2001)
[17] Shen, L.; Zhang, X.; Yue, D.K.P.; Triantafyllou, G.S., The surface layer for free-surface turbulent flows, J. fluid mech, 386, 167-212, (1999) · Zbl 0938.76044
[18] Germano, M.; Piomelli, U.; Moin, P.; Cabot, W., A dynamic subgrid-scale eddy viscosity model, Phys. fluids, 3, 1760-1765, (1991) · Zbl 0825.76334
[19] Smagorinsky, J., General circulation experiments with the primitive equations. I. the basic experiment, Mon. wea. rev, 91, 99-165, (1963)
[20] Wang, W.-P.; Pletcher, R.H., On the large eddy simulation of a turbulent channel flow with significant heat transfer, Phys. fluids, 8, 3354-3366, (1996) · Zbl 1027.76607
[21] Zang, Y.; Street, R.L.; Koseff, J.R., A dynamic mixed subgrid-scale model and its application to turbulent recirculating flows, Phys. fluids, 5, 3186-3196, (1993) · Zbl 0925.76242
[22] Calmet, I.; Magnaudet, J., Large-eddy simulation of high-Schmidt number mass transfer in a turbulent channel flow, Phys. fluids, 9, 438-455, (1997)
[23] Liu, N.Y.; Lu, X.Y.; Zhuang, L.X., A new dynamic subgrid-scale model for the large eddy simulation of stratified turbulent flows, Sci. China A, 43, 391-399, (2000) · Zbl 0980.76035
[24] 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, Sci. China A, 45, 888-899, (2002)
[25] Dong, Y.H.; Lu, X.Y.; Zhuang, L.X., An investigation of Prandtl number effects on turbulent heat transfer in channel flows by large eddy simulation, Acta mech, 159, 39-51, (2002) · Zbl 1143.76455
[26] Dong, Y.H.; Lu, X.Y.; Zhuang, L.X., Large eddy simulation of turbulent channel flow with mass transfer at high-Schmidt numbers, Int. J. heat mass transfer, 46, 1529-1539, (2003) · Zbl 1049.76560
[27] Salvetti, M.V.; Zang, Y.; Street, R.L.; Banerjee, S., Large-eddy simulation of free-surface decaying turbulence with dynamic subgrid-scale models, Phys. fluids, 9, 2405-2419, (1997) · Zbl 1185.76784
[28] Calmet, I.; Magnaudet, J., Statistical structure of high-Reynolds-number turbulence close to the free surface of an open-channel flow, J. fluid mech, 474, 355-378, (2003) · Zbl 1129.76324
[29] Kim, J.; Moin, P., Application of fractional-step method to incompressible navier – stokes equations, J. comput. phys, 59, 308-323, (1985) · Zbl 0582.76038
[30] Verzicco, R.; Orlandi, P., A finite-difference scheme for three-dimensional incompressible flows in cylindrical coordinates, J. comput. phys, 123, 402-414, (1996) · Zbl 0849.76055
[31] Verzicco, R.; Camussi, R., Prandtl number effects in convective turbulence, J. fluid mech, 383, 55-73, (1999) · Zbl 0939.76036
[32] Moin, P.; Kim, J., Numerical investigation of turbulent channel flow, J. fluid mech, 118, 341-377, (1982) · Zbl 0491.76058
[33] 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 flow, 20, 187-195, (1999)
[34] Nagano, Y.; Shimada, M., Development of a two-equation heat transfer model based on direct simulations of turbulent flows with different Prandtl numbers, Phys. fluids, 8, 3379-3402, (1996) · Zbl 1027.76601
[35] Hsu, C.T.; Lu, X.Y.; Kwan, M.K., LES and RANS studies of oscillating flows over a flat plate, ASCE J. engng. mech, 126, 186-193, (2000)
[36] Wang, L.; Lu, X.Y., An investigation of turbulent oscillatory heat transfer in channel flows by large eddy simulation, Int. J. heat mass transfer, 47, 2161-2172, (2004) · Zbl 1045.76534
[37] Dong, Y.H.; Lu, X.Y., Large eddy simulation of a thermally stratified turbulent channel flow with temperature oscillation on the wall, Int. J. heat mass transfer, 47, 2109-2122, (2004) · Zbl 1045.76533
[38] Nagaosa, R.; Saito, T., Turbulence structure and scalar transfer in stratified free-surface flows, Aiche j, 43, 2393-2404, (1997)
[39] Kader, B.A.; Yaglom, A.M., Heat and mass transfer laws for fully turbulent wall flows, Int. J. heat mass transfer, 15, 2329-2342, (1972)
[40] Kader, B.A., Temperature and concentration profiles in fully turbulent boundary layers, Int. J. heat mass transfer, 24, 1541-1545, (1981)
[41] 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 flow, 19, 482-491, (1998)
[42] 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 flow, 20, 196-207, (1999)
[43] Shaw, D.A.; Hanratty, T.J., Turbulent mass transfer rates to a wall for large Schmidt number, Aiche j, 23, 28-35, (1977)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.