The Dynamics of the Horseshoe Vortex and Associated Endwall Heat Transfer—Part I: Temporal Behavior

Instantaneous flow topology and the associated endwall heat transfer in the leading-edge endwall region of a symmetric airfoil are presented. An experimental technique was employed that allowed the simultaneous recording of instantaneous particle image velocimetry flow field and thermochromic liquid-crystal-based endwall heat transfer data. The endwall flow is dominated by a horseshoe vortex that forms from reorganized impinging boundary layer vorticity. A relatively small vortex is shown to be a steady feature of the corner region, while a secondary vortex develops sporadically immediately upstream of the horseshoe vortex. The region upstream of the horseshoe vortex is characterized by a bimodal switching of the near-wall reverse flow, which results in quasiperiodic eruptions of the secondary vortex. The bimodal switching of the reverse flow in the vicinity of the secondary vortex is linked to the temporal behavior of the down-wash fluid on the leading edge of the foil. Frequency analysis of the flow field and endwall heat transfer data, taken together, indicate that the eruptive behavior associated with the horseshoe vortex occurs at a frequency that is essentially the same as the measured turbulence bursting period of the impinging turbulent endwall boundary layer.

[1]  Om P. Sharma,et al.  Predictions of Endwall Losses and Secondary Flows in Axial Flow Turbine Cascades , 1987 .

[2]  T. J. Praisner,et al.  The Dynamics of the Horseshoe Vortex and Associated Endwall Heat Transfer—Part II: Time-Mean Results , 2006 .

[3]  S. J. Kline,et al.  Describing Uncertainties in Single-Sample Experiments , 1953 .

[4]  R. Adrian Particle-Imaging Techniques for Experimental Fluid Mechanics , 1991 .

[5]  J. Andreopoulos,et al.  Experimental Investigation of a Three-Dimensional Boundary Layer Flow in the Vicinity of an Upright Wall Mounted Cylinder (Data Bank Contribution) , 1992 .

[6]  R. Simpson,et al.  Time-depeiident and time-averaged turbulence structure near the nose of a wing-body junction , 1990, Journal of Fluid Mechanics.

[7]  M. F. Blair,et al.  An Experimental Study of Endwall and Airfoil Surface Heat Transfer in a Large Scale Turbine Blade Cascade , 1980 .

[8]  S. C. Dickinson Time dependent flow visualization in the separated region of an appendage-flat plate junction , 2004 .

[9]  D. Sabatino,et al.  Simultaneously combined liquid crystal surface heat transfer and PIV flow-field measurements , 2001 .

[10]  F. A. Schraub,et al.  A STUDY OF THE STRUCTURE OF THE TURBULENT BOUNDARY LAYER WITH AND WITHOUT LONGITUDINAL PRESSURE GRADIENTS , 1965 .

[11]  J. Hunt,et al.  Kinematical studies of the flows around free or surface-mounted obstacles; applying topology to flow visualization , 1978, Journal of Fluid Mechanics.

[12]  T. J. Praisner,et al.  A high-accuracy calibration technique for thermochromic liquid crystal temperature measurements , 2000 .

[13]  Karen A. Thole,et al.  Heat Transfer and Flowfield Measurements in the Leading Edge Region of a Stator Vane Endwall , 1999 .

[14]  T. J. Praisner,et al.  The Dynamics of the Horseshoe Vortex and Associated Endwall Heat Transfer: Part 2 — Time-Mean Results , 2005 .

[15]  Donald Rockwell,et al.  High image-density particle image velocimetry using laser scanning techniques , 1993 .

[16]  C. R. Smith,et al.  Vortex Interactions with Walls , 1994 .

[17]  M. S. Acarlar,et al.  A study of hairpin vortices in a laminar boundary layer. Part 1. Hairpin vortices generated by a hemisphere protuberance , 1987, Journal of Fluid Mechanics.

[18]  C. R. Smith,et al.  Use of flow visualization data to examine spatial-temporal velocity and burst-type characteristics in a turbulent boundary layer , 1991, Journal of Fluid Mechanics.

[19]  M. F. Blair,et al.  An Experimental Study of Heat Transfer and Film Cooling on Large-Scale Turbine Endwalls , 1974 .

[20]  T. J. Praisner,et al.  Spatial-temporal turbulent flow-field and heat transfer behavior in end-wall junctions , 1997 .

[21]  L. M. Russell,et al.  High-resolution liquid-crystal heat-transfer measurements on the endwall of a turbine passage with variations in Reynolds number , 1988 .

[22]  S. Honami,et al.  A Three-Dimensional Turbulent Detached Flow With a Horseshoe Vortex , 1985 .

[23]  P. W. Giel,et al.  ENDWALL HEAT TRANSFER MEASUREMENTS IN A TRANSONIC TURBINE CASCADE , 1998 .

[24]  Stephen J. Kline,et al.  The production of turbulence near a smooth wall in a turbulent boundary layer , 1971, Journal of Fluid Mechanics.

[25]  L. Langston,et al.  Three-Dimensional Flow Within a Turbine Cascade Passage , 1977 .