Direct numerical simulation of turbulent flow in a square duct: Analysis of secondary flows

Journal of Engineering Mechanics

Volumn 133, Issue 2, 2007, Pages 213-221

  Joung, Younghoon ^a,b   Choi, Sung Uk ^b   Choi, Jung Il ^c  

^a Namwonkeonseol Engineering Co Ltd   (South Korea)

^b Yonsei University   (South Korea)

^c North Carolina State University   (United States)

Author keywords

Numerical models; Reynolds number; Secondary flow; Simulation

Indexed keywords

COMPUTER SIMULATION; DUCTS; MATHEMATICAL MODELS; REYNOLDS NUMBER; SHEAR STRESS; WALL FLOW;

DIRECT NUMERICAL SIMULATION; NUMERICAL MODELS; QUADRANT ANALYSIS; SECONDARY FLOW;

TURBULENT FLOW;

COMPUTER SIMULATION; DUCTS; MATHEMATICAL MODELS; REYNOLDS NUMBER; SHEAR STRESS; TURBULENT FLOW; WALL FLOW;

MOMENTUM TRANSFER; NUMERICAL METHOD; REYNOLDS NUMBER; SECONDARY FLOW; SHEAR STRESS; TURBULENT FLOW;

EID: 33846451753     PISSN: 07339399     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9399(2007)133:2(213)     Document Type: Article

References (28)

1. Balint, J.-L., Wallace, J. M., and Vukoslavčvć, P. (1991). "The velocity and vorticity vector fields of a turbulent boundary layer. Part 2: Statistical properties." J. Fluid Mech.JFLSA70022-1120, 228, 53-86.
2. Beam, R. M., and Warming, R. F. (1976). "An implicit finite-difference algorithm for hyperbolic systems in conservation law form." J. Comput. Phys.JCTPAH0021-999110.1016/0021-9991(76)90110-8, 22, 87-110.
3. Bradshaw, P. (1987). "Turbulent secondary flows." Annu. Rev. Fluid Mech.ARVFA30066-418910.1146/annurev.fluid.19.1.53, 19, 53-74.
4. Brundrett, E., and Baines, W. D. (1964). "The production and diffusion of vorticity in a square duct." J. Fluid Mech.JFLSA70022-1120 19, 375-394.
5. Cheesewright, R., McGrath, G., and Perry, D., (1990). "LDA measurements of turbulent flow in a duct of square cross section at low Reynolds number." Aeronautical Engineering Dept. Rep. ER 1011, Queen Mary Westfield College, Univ. of London, London.
6. Demuren, A. O. (1991). "Calculation of turbulence-driven secondary motion in ducts with arbitrary cross section." AIAA J.AIAJAH0001-1452, 29(4), 531-537.
7. Demuren, A. O., and Rodi, W. (1984). "Calculation of turbulence-driven secondary motion in non-circular ducts." J. Fluid Mech.JFLSA70022-112010.1017/S0022112084000574, 140, 189-222.
8. Dukowicz, J. K., and Dvinsky, A. S. (1992). "Approximate factorization as a high-order splitting for the implicit incompressible flow equations." J. Comput. Phys.JCTPAH0021-999110.1016/ 0021-9991(92)90376-A, 102, 336-347.
9. Gavrilakis, S. (1992). "Numerical simulation of low-Reynolds-number turbulent flow through a straight square duct." J. Fluid Mech.JFLSA70022-112010.1017/S0022112092002982, 244, 101-129.
10. Gessner, F. B. (1973). "The origin of secondary flow in turbulent flow along a corner." J. Fluid Mech.JFLSA70022-112010.1017/ S0022112073002090 58, 1-25.
11. Gessner, F. B., Po, J. K., and Emery, A. F. (1979). "Measurements of developing turbulent flow in a square duct." Turbulent shear flows, Vol. I, F. Durst,, eds., Springer, New York, 119-136.
12. Huser, A., and Biringen, S. (1993). "Direct numerical simulation of turbulent flow in a square duct." J. Fluid Mech.JFLSA70022-112010.1017/S002211209300299X, 257, 65-95.
13. Huser, A., Biringen, S., and Hatay, F. F. (1994). "Direct simulation of turbulent flow in a square duct: Reynolds-stress budgets." Phys. FluidsPHFLE61070-663110.1063/1.868138, 6(9), 3144-3152.
14. Kim, J., and Moin, P. (1985). "Application of a fractional step method to incompressible Navier-Stokes equations." J. Comput. Phys.JCTPAH0021-999110.1016/0021-9991(85)90148-2 59, 308-323.
15. Kim, K., Baek, S.-J., and Sung, H. J. (2002). "An implicit velocity decoupling procedure for the incompressible Navier-Stokes equations." Int. J. Numer. Methods FluidsIJNFDW0271-209110.1002/ fld.205, 38(2), 125-138.
16. Knight, D. W., Demetriou, J. D., and Hamed, M. E. (1984). "Boundary shear in smooth rectangular channels." J. Hydraul. Eng.JHEND80733-9429, 110(4), 405-422.
17. Launder, B. E. (1990). "Phenomenological modeling: Present... and future? Whither turbulence?" Turbulence at the crossroads, Lecture Notes in Physics, J. L. Lumley, ed., Springer, Berlin, 357 and 439.
18. Leutheusser, H. J. (1963). "Turbulent flow in rectangular ducts." J. Hydr. Div.JYCEAJ0044-796X, 89(3), 1-19.
19. Madabhushi, R. K., and Vanka, S. P. (1991). "Large-eddy simulation of turbulence-driven secondary flow in a square duct." Phys. Fluids APFADEB0899-821310.1063/1.858163, 3(11), 2734-2745.
20. Moser, R. D., Kim, J., and Mansour, N. N. (1999). "Direct numerical simulation of turbulent channel flow up to Rz=590." Phys. FluidsPHFLE61070-663110.1063/1.869966, 11(4), 943-945.
21. Naot, D., and Rodi, W. (1982). "Calculation of secondary currents in channel flow." J. Hydr. Div.JYCEAJ0044-796X, 108(8), 948-968.
22. Nezu, I., Nakagawa, H., and Tominaga, A. (1985). "Secondary currents in a straight channel flow and the relation to its aspect ratio." Turbulent shear flows 4, Springer, Berlin, 246-260.
23. Niederschulte, M. A. (1989). Turbulent flow through a rectangular channel, Ph.D. thesis, Univ. of Illinois at Urbana-Champaign, Ill.
24. Perot, J. B. (1993). "An analysis of the fractional step method." J. Comput. Phys.JCTPAH0021-999110.1006/jcph.1993.1162, 108, 51-58.
25. Tannehill, J. C., Anderson, D. A., and Pletcher, R. H. (1984). Computational fluid mechanics and heat transfer, McGraw-Hill, New York.
26. Vázquez, M. S., and Métais, O. (2002). "Large-eddy simulation of the turbulent flow through a heated square duct." J. Fluid Mech.JFLSA70022-112010.1017/S0022112001006887, 453, 201-238.
27. Willmarth, W. W. (1975). "Pressure fluctuations beneath turbulent boundary layers." Annu. Rev. Fluid Mech.ARVFA30066-418910.1146/ annurev.fl.07.010175.000305, 7, 13-36.
28. Yokosawa, H., Fujita, H., Hirota, M., and Iwata, S. (1989). "Measurement of turbulent flow in a square duct with roughened walls on two opposite sides." Int. J. Heat Fluid FlowIJHFD20142-727X10.1016/0142-727X(89)90005-2, 10(2), 125-130.