Velocity redistribution in curved rectangular channels

The main velocity redistribution in steady flow through curved conduits of shallow rectangular cross-section is considered. Its mechanism is analysed using a mathematical model of steady incompressible laminar flow in coiled rectangular pipes. The transverse transport of main-flow momentum by the secondary circulation is shown to be the principal cause of this velocity redistribution. The importance of the side-wall regions, even in shallow channels, is assessed and the neglect of the influence of the side walls in the commonly applied simplified models of flow through shallow curved channels is shown to be strongly limiting in case of long bends with a rectangular cross-section.

[1]  J. Bathurst,et al.  Secondary Flow and Shear Stress at River Bends , 1979 .

[2]  H. J. De Vriend,et al.  Flow measurements in a curved rectangular channel , 1979 .

[3]  U. K. Choudhary,et al.  Flow in 180° Open Channel Rigid Boundary Bends , 1977 .

[4]  S. Dennis,et al.  Steady flow in a curved tube of triangular cross section , 1976, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[5]  K. C. Cheng,et al.  Fully Developed Laminar Flow in Curved Rectangular Channels , 1976 .

[6]  B. Joseph,et al.  Numerical treatment of laminar flow in helically coiled tubes of square cross section. Part I. Stationary helically coiled tubes , 1975 .

[7]  S. Dennis,et al.  THE STEADY MOTION OF A VISCOUS FLUID IN A CURVED TUBE , 1975 .

[8]  Dudley Brian Spalding,et al.  Prediction of turbulent flow in curved pipes , 1975, Journal of Fluid Mechanics.

[9]  F Engelund,et al.  FLOW AND BED TOPOGRAPHY IN CHANNEL BENDS , 1974 .

[10]  D. B. Spalding,et al.  Prediction of laminar flow and heat transfer in helically coiled pipes , 1974, Journal of Fluid Mechanics.

[11]  Yasuo Mori,et al.  Forced convective heat transfer in a curved channel with a square cross section , 1971 .

[12]  H. J. Perkins.  The formation of streamwise vorticity in turbulent flow , 1970, Journal of Fluid Mechanics.

[13]  K. C. Cheng,et al.  Laminar forced convection heat transfer in curved rectangular channels , 1970 .

[14]  Y. Muramoto.  Flow through Curved Open Channels. Part 1. On Characteristics of Upper Layer in Fully Developed Region , 1965 .

[15]  H. Einstein,et al.  Velocity distribution and the boundary layer at channel bends , 1954 .

[16]  W. R. Dean.  Fluid Motion in a Curved Channel , 1928 .

[17]  W. R. Dean.  LXXII. The stream-line motion of fluid in a curved pipe (Second paper) , 1928 .

[18]  G. Taylor.  Stability of a Viscous Liquid Contained between Two Rotating Cylinders , 1923 .

[19]  H. J. De Vriend,et al.  COMPUTATION OF THE FLOW IN SHALLOW RIVER BENDS , 1980 .

[20]  H. D. Vriend.  Fully developed laminar flow in curved ducts , 1978 .

[21]  H. J. De Vriend,et al.  A Mathematical Model Of Steady Flow In Curved Shallow Channels , 1977 .

[22]  Lars Gottlieb,et al.  Three-dimensional flow pattern and bed topography in meandering channels , 1976 .

[23]  K. V. Rao.  Secondary flow in a curved channel as revealed by a laser Doppler anemometer , 1976 .

[24]  D. B. Spalding,et al.  NUMERICAL COMPUTATIONS OF THE FLOW IN CURVED DUCTS. , 1975 .

[25]  A. Reynolds.  Turbulent flows in engineering , 1974 .

[26]  H. D. Vriend.  Theory of viscous flow in curved shallow channels , 1972 .

[27]  I. L. Rozovskii,et al.  Flow of water in bends of open channels , 1957 .

[28]  R. W. Detra,et al.  The secondary flow in curved pipes , 1953 .

[29]  M. Adler,et al.  Strömung in gekrümmten Rohren , 1934 .