Experimental investigation of turbulent flow through a circular-to-rectangular transition duct

An experimental study was conducted to investigate incompressible turbulent flow through a circular-torectangular transition duct having the same inlet and outlet cross-sectional areas, an overall length-to-diameter ratio of 4.5, and an aspect ratio of 3.0 at the exit plane. Downstream of the inlet, the local cross-sectional area increased to a value 15% above the inlet value and then decreased to the exit value. Mean flow and turbulence data were obtained by means of pressure probe and hot-wire instrumentation for an operating bulk Reynolds number of 3.9 x 10 5. The results show that curvature of the duct walls induces a relatively strong pressuredriven crossflow that develops into a contrarotating vortex pair near the diverging side walls of the duct. This vortex pair significantly distorts both the primary mean velocity and Reynolds stress fields. Law-of-the-wall behavior was observed in the near-wall region at the duct exit plane and, to a lesser extent, immediately after the end of transition. Analysis of the results shows that caution must be observed if conventional wall functions are used to predict the present flow situation.

[1]  C. Friehe,et al.  Deviations From the Cosine Law for Yawed Cylindrical Anemometer Sensors , 1968 .

[2]  F. E. Marble,et al.  Swirling flows in an annular-to-rectangular transition section , 1989 .

[3]  A. Smits,et al.  The response of a turbulent boundary layer to lateral divergence , 1978, Journal of Fluid Mechanics.

[4]  T. C. Vu,et al.  Navier-Stokes Flow Analysis for Hydraulic Turbine Draft Tubes , 1990 .

[5]  G. Comte-Bellot,et al.  On Aerodynamic Disturbances Caused by Single Hot-Wire Probes , 1971 .

[6]  P. Bradshaw,et al.  Longitudinal vortices imbedded in turbulent boundary layers , 1983 .

[7]  M. Al-Beirutty,et al.  A hot-wire measurement technique for complex turbulent flows , 1988 .

[8]  Andrew Pollard,et al.  Comparative study of turbulence models in predicting turbulent pipe flow. I - Algebraic stress and k-epsilon models , 1989 .

[9]  J. Gillis,et al.  Turbulent boundary-layer flow and structure on a convex wall and its redevelopment on a flat wall , 1983, Journal of Fluid Mechanics.

[10]  Alexander J. Smits,et al.  The effect of short regions of high surface curvature on turbulent boundary layers , 1978, Journal of Fluid Mechanics.

[11]  E. Dekam,et al.  Effects of inlet conditions and surface roughness on the performance of transitions between square and rectangular ducts of the same cross-sectional area , 1987 .

[12]  R. Camarero,et al.  Calculation of Turbulent Flows in a Hydraulic Turbine Draft Tube , 1990 .

[13]  Robert N. Meroney,et al.  Measurements of turbulent boundary layer growth over a longitudinally curved surface , 1975 .

[14]  J. Rotta,et al.  Statistische Theorie nichthomogener Turbulenz , 1951 .

[15]  M. R. Head,et al.  Simplified Presentation of Preston Tube Calibration , 1971 .

[16]  Peter Bradshaw,et al.  The effect of convex surface curvature on turbulent boundary layers , 1985, Journal of Fluid Mechanics.

[17]  J. Hoffman,et al.  Computation of viscous flow in planar and axisymmetric ducts by an implicit marching procedure , 1984 .

[18]  P. Joubert,et al.  Effects of small streamline curvature on turbulent duct flow , 1979, Journal of Fluid Mechanics.

[19]  A. R. Barbin,et al.  Turbulent Flow in the Inlet Region of a Smooth Pipe , 1963 .

[20]  Michael Yianneskis,et al.  Turbulent flow in a square-to-round transition , 1981 .

[21]  P. Bradshaw,et al.  The Flow in S-shaped Ducts , 1972 .

[22]  P. Bradshaw,et al.  Longitudinal vortices imbedded in turbulent boundary layers Part 2. Vortex pair with ‘common flow’ upwards , 1988, Journal of Fluid Mechanics.

[23]  R. Azad,et al.  Developing turbulent flow in smooth pipes , 1973 .

[24]  B. H. Anderson,et al.  Developing Flow in S-Shaped Ducts , 1982 .

[25]  H. Eppich,et al.  The near-wall structure of turbulent flow along a streamwise corner , 1991 .

[26]  A. Klein,et al.  Review: Turbulent Developing Pipe Flow , 1981 .

[27]  J. Lumley,et al.  The return to isotropy of homogeneous turbulence , 1977, Journal of Fluid Mechanics.

[28]  Chia-Ch'iao Lin Β. Turbulent Flow , 1960 .

[29]  Parviz Moin,et al.  The effects of curvature in wall-bounded turbulent flows , 1987, Journal of Fluid Mechanics.

[30]  T. Leu,et al.  Flow distortion in a circular-to-rectangular transition duct , 1990 .

[31]  S. H. Chue,et al.  Pressure probes for fluid measurement , 1975 .

[32]  P. Bradshaw Turbulent secondary flows , 1987 .

[33]  Peter Bradshaw,et al.  Turbulent boundary layers on surfaces of mild longitudinal curvature , 1978 .

[34]  W. P. Patrick,et al.  Circular-to-Rectangular Duct Flows A Benchmark Experimental Study , 1987 .

[35]  P. Kool,et al.  An improved experimental method to determine the complete Reynolds stress tensor with a single rotating slanting hot wire , 1981 .

[36]  Thomas Morel,et al.  Comprehensive Design of Axisymmetric Wind Tunnel Contractions , 1975 .

[37]  G. Mellor,et al.  Experiment on convex curvature effects in turbulent boundary layers , 1973, Journal of Fluid Mechanics.

[38]  C. J. Lawn,et al.  The determination of the rate of dissipation in turbulent pipe flow , 1971, Journal of Fluid Mechanics.

[39]  V. C. Patel Calibration of the Preston tube and limitations on its use in pressure gradients , 1965, Journal of Fluid Mechanics.

[40]  J. R. Burley,et al.  Circular-to-rectangular transition ducts for high-aspect ratio nonaxisymmetric nozzles , 1985 .

[41]  P. Bradshaw Calculation of boundary-layer development using the turbulent energy equation , 1967, Journal of Fluid Mechanics.