Research Papers

Boundary Layer Influence on the Unsteady Horseshoe Vortex Flow and Surface Heat Transfer

[+] Author and Article Information
D. R. Sabatino

 Aerodynamics United Technologies Research Center, 411 Silver Lane, MS 129-73, East Hartford, CT 06108

C. R. Smith

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

J. Turbomach 131(1), 011015 (Nov 06, 2008) (8 pages) doi:10.1115/1.2813001 History: Received June 19, 2007; Revised August 24, 2007; Published November 06, 2008

The spatial-temporal flow field and associated surface heat transfer within the leading edge, end-wall region of a bluff body were examined using both particle image velocimetry and thermochromic liquid crystal temperature measurements. The horseshoe vortex system in the end-wall region is mechanistically linked to the upstream boundary layer unsteadiness. Hairpin vortex packets, associated with turbulent boundary layer bursting behavior, amalgamate with the horseshoe vortex resulting in unsteady strengthening and streamwise motion. The horseshoe vortex unsteadiness exhibits two different natural frequencies: one associated with the transient motion of the horseshoe vortex and the other with the transient surface heat transfer. Comparable unsteadiness occurs in the end-wall region of the more complex airfoil geometry of a linear turbine cascade. To directly compare the horseshoe vortex behavior around a turning airfoil to that of a simple bluff body, a length scale based on the maximum airfoil thickness is proposed.

Copyright © 2009 by American Society of Mechanical Engineers
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Figure 1

Schematic representation of typical time-mean symmetry plane streamlines for a horseshoe vortex system

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Figure 2

Idealized hairpin vortex model after Adrian (11) and Haidari and Smith (13)

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Figure 3

Plan view of LC test section with a streamlined cylinder

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Figure 4

Plan view of linear cascade. All units are in cm.

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Figure 5

Symmetry plane vorticity upstream of a streamlined cylinder (q″=7.9kW∕m2). Isovorticity contours are shown for ω=3.5s−1.

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Figure 6

PDFs for the HV position on the symmetry and 10deg plane

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Figure 7

Instantaneous surface heat transfer upstream of a streamlined cylinder for q″=6.9kW∕m2

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Figure 8

(a) Temporal record of symmetry plane surface heat transfer data. (b) Typical autocorrelation and interpretation of peak locations from temporal sequence.

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Figure 9

(a) End-wall surface heat transfer temporal behavior as captured by the LC hue. (b) End-wall surface vorticity and HV position.

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Figure 10

Normalized autocorrelations of surface heat transfer and HV position

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Figure 11

Time-mean end-wall heat transfer for ReC=1.50×104. All units are in cm.

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Figure 12

Time-mean end-wall surface heat transfer along the symmetry plane upstream of the linear cascade and streamlined cylinder. Streamlined cylinder data are plotted versus x∕D. Turbine airfoil is plotted versus (a) axial chord and (b) maximum thickness b.

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Figure 13

Temporal sequence of instantaneous surface heat transfer in a linear turbine cascade. ReC=1.50×104.

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Figure 14

Normalized autocorrelations of end-wall surface heat transfer data along the linear cascade symmetry plane



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