Turbulent flow in a square duct with strong curvature

作者: J. A. C. Humphrey , J. H. Whitelaw , G. Yee

DOI: 10.1017/S0022112081001419

关键词: Classical mechanicsFlow separationFlow velocityMechanicsTurbulence kinetic energyTurbulenceOpen-channel flowReynolds numberReynolds stressIsothermal flowPhysics

摘要: The steady, incompressible, isothermal, developing flow in a square-section curved duct with smooth walls has been investigated. 40 × mm had radius ratio of 2·3 long upstream and downstream straight ducts attached. Measurements the longitudinal radial components mean velocity, corresponding Reynolds-stress tensor, were obtained laser-Doppler anemometer at Reynolds number 4 10 various cross-stream planes. secondary velocities, driven mainly by pressure field, attain values up to 28% bulk velocity are largely responsible for convection stresses plane. Production turbulent kinetic energy predominates close outer-radius wall regions negative contributions production exist. Thus, bend angle 90° near inner-radius wall, $\overline{u_{\theta}u_r}\partial U_{\theta}/\partial r$ is positive represents contribution generation energy. In spite complex stress distributions, controlled centrifugal force, gradient imbalance. As consequence, calculated results from solution elliptic differential equations finite difference form incorporating two-equation turbulence model not strongly dependent on model; numerical errors greater importance.

参考文章(16)
SALAMON ESKINAZI, HSUAN YEH, An Investigation on Fully Developed Turbulent Flows in a Curved Channel Journal of the Aeronautical Sciences. ,vol. 23, pp. 23- 34 ,(1956) , 10.2514/8.3496
H. B. SQUIRE, K. G. WINTER, The Secondary Flow in a Cascade of Airfoils in a Nonuniform Stream Journal of the Aeronautical Sciences. ,vol. 18, pp. 271- 277 ,(1951) , 10.2514/8.1925
F Durst, J H Whitelaw, Integrated optical units for laser anemometry Journal of Physics E: Scientific Instruments. ,vol. 4, pp. 804- 808 ,(1971) , 10.1088/0022-3735/4/11/003
Joseph A. C. Humphrey, Numerical calculation of variable property flows in curvilinear orthogonal coordinates Canadian Journal of Chemical Engineering. ,vol. 56, pp. 624- 626 ,(1978) , 10.1002/CJCE.5450560517
K. N. Ghia, J. S. Sokhey, Laminar Incompressible Viscous Flow in Curved Ducts of Regular Cross-Sections Journal of Fluids Engineering-transactions of The Asme. ,vol. 99, pp. 640- 648 ,(1977) , 10.1115/1.3448875
Y Mori, Y Uchida, T Ukon, Forced convective heat transfer in a curved channel with a square cross section International Journal of Heat and Mass Transfer. ,vol. 14, pp. 1787- 1805 ,(1971) , 10.1016/0017-9310(71)90047-0
A. Melling, J. H. Whitelaw, Turbulent flow in a rectangular duct Journal of Fluid Mechanics. ,vol. 78, pp. 289- 315 ,(1976) , 10.1017/S0022112076002450
F. J. Pierce, S. H. Duerson, Reynolds Stress Tensors in an End-Wall Three-Dimensional Channel Boundary Layer Journal of Fluids Engineering. ,vol. 97, pp. 618- 620 ,(1975) , 10.1115/1.3448145
F. B. Gessner, The origin of secondary flow in turbulent flow along a corner Journal of Fluid Mechanics. ,vol. 58, pp. 1- 25 ,(1973) , 10.1017/S0022112073002090