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TECHNICAL PAPERS

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

[+] Author and Article Information
T. J. Praisner

Turbine Aerodynamics, United Technologies Pratt and Whitney, 400 Main Street, S/S 169-29, East Hartford, CT 06108

C. R. Smith

Department of Mechanical Engineering, Lehigh University, 19 Memorial Drive West, Bethlehem, PA 18015

J. Turbomach 128(4), 747-754 (Feb 01, 2005) (8 pages) doi:10.1115/1.2185676 History: Received October 01, 2004; Revised February 01, 2005

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.

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Copyright © 2006 by American Society of Mechanical Engineers
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Figures

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Figure 1

Schematic representation of the time-mean symmetry-plane streamline topology in a turbulent endwall flow

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Figure 2

Experimental setup illustrating the configuration employed to record simultaneous flow-field and endwall heat transfer data

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Figure 3

Hydrogen-bubble visualization of the horseshoe vortex core in a turbulent endwall flow formed with a faired cylinder

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Figure 4

Snapshot of an instantaneous Stanton number distribution on the endwall. Flow is from left to right.

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Figure 5

Instantaneous symmetry-plane flow-field data with the corresponding instantaneous endwall heat transfer distribution

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Figure 6

Temporal sequence of laser-illuminated particle visualizations of the symmetry-plane flow topology

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Figure 7

Temporal sequence of four instantaneous realizations of symmetry-plane streamlines and vorticity distributions with the corresponding endwall heat transfer distributions. Time between frames is 0.2s or 9t+.

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Figure 8

Temporal sequence of vorticity distributions and the associated endwall heat transfer on the 90deg plane. Time between instances is 0.2s or 9t+. Note, the bulk flow is toward the viewer.

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Figure 9

Schematic illustrating the stacking of flow-field and endwall heat transfer data in the time dimension to form time-space constructs

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Figure 10

Combined time-space constructs of symmetry-plane flow-field and heat transfer data from two separate data sets illustrating quasiperiodic eruptive events

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