Direct numerical simulations were performed for a fully developed axially rotating turbulent square duct flow with a turbulent Reynolds number of 400 and a Prandtl number of 0.71. In order to analyze the influences of buoyancy forces on fluid flow
the ensemble averaged turbulent statistical quantities including velocity field
temperature field
turbulent intensity
and Reynolds stress at different Grashof numbers were presented. The stability or instability properties of rotation and their effects on the statistical quantities were also analyzed. The results show that the centrifugal buoyancy influences the averaged velocity field and temperature field significantly and the influence is more obvious with the increase in Grashof number. The centrifugal buoyancy also affects the fluctuation quantities greatly
and the fluctuation intensity increases in the instable side and decreases in the stable side.
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references
HUSER A, BIRINGEN S. Direct numerical simulation of turbulent flow in a square duct [J]. J Fluid Mech, 1993, 257(8):65-95.
LAUNDER B E, REECE G J, RODI W. Progress in the development of a Reynolds stress turbulence closure [J]. J Fluid Mech, 1975, 68(3):537-566.
DEMUREN A O, RODI W. Calculation of turbulence-driven secondary motion in non-circular ducts [J]. J Fluid Mech, 1984, 140(6):189-222.
ROKNI M, SUNDEN B. Numerical investigation of turbulent forced convection in ducts with rectangular and trapezoidal cross-section area by using different turbulence models [J]. Numerical Heat Transfer: Part A, 1996, 30(4):321-346.
KAJISHIMA T, MIYAKE Y. A discussion on eddy viscosity models on the basis of the large eddy simulation of turbulent flow in a square duct [J]. Computers Fluids, 1992, 21(2):151-161.
SU M D, FRIEDRICH R. Investigation of fully developed turbulent flow in a straight duct with large eddy simulation [J]. ASME Journal of Fluids Engineering, 1994, 116(4):677-684.
MADABHUSHI R K, VANKA S P. Large eddy simulation of turbulence-driven secondary flow in a square duct [J]. Phys Fluids: A, 1991, 3(11):2734-2745.
PALLARES L, DAVIDSON L. Large-eddy simulations of turbulent flow in a rotating square duct [J]. Physics of Fluids, 2000, 12(11):2878-2893.
PALLARES L, DAVIDSON L. Large-eddy simulations of turbulent flow in stationary and rotating square duct [J]. Physics of Fluids, 2002, 14(8):2804-2816.
QIN Z H, PLETCHER R H. Large eddy simulation of turbulent heat transfer in a rotating square duct[J]. International Journal of Heat and Fluid Flow, 2006, 27(3):371-390.
GAVRILAKIS S. Numerical simulation of low-Reynolds-number turbulent flow through a straight square duct [J]. Fluid Mech, 1992, 244(5):101-129.
PILLER M, NOBILE E. Direct numerical simulation of turbulent heat transfer in a square duct [J]. International Journal of Numerical Methods for Heat Fluid Flow, 2002, 12(6):658-686.
MA Liangdong, LI Guangxi, TAO Wenquan. Direct numerical simulation of turbulent flow and heat transfer in a square duct [J]. Journal of Engineering Thermophysics, 2004, 25(6):1031-1033.
KAWAMURA H, ABE H, MATSUO Y. DNS of turbulent heat transfer in channel flow with respect to Reynolds and Prandtl number effects [J]. Int J Heat Fluid Flow, 1999, 20(3):196-207.
邓建中,刘之行. 计算方法[M]. 2版. 西安:西安交通大学出版社, 2001.
JOHNSTON J P, HALLEN R M, LEZIUS D K. Effects of spanwise rotation on the structure of two-dimensional fully developed turbulent channel flow [J]. J Fluid Mech, 1972,56(3):533-557.