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Technical Briefs

Tip and Junction Vortices Generated by the Sail of a Yawed Submarine Model at Low Reynolds Numbers

[+] Author and Article Information
Juan M. Jiménez1

Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544-5263jjimenez@upenn.edu

Alexander J. Smits

Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544-5263asmits@princeton.edu

1

Corresponding author. Present address: Institute for Medicine and Engineering, University of Pennsylvania, Philadelphia, PA 19104.

J. Fluids Eng 133(3), 034501 (Mar 10, 2011) (4 pages) doi:10.1115/1.4003651 History: Received October 04, 2010; Revised February 09, 2011; Published March 10, 2011; Online March 10, 2011

Results are presented on the behavior of the tip and junction vortices generated by the sail of a SUBOFF submarine model at yaw angles from 6 deg to 17 deg for a Reynolds number of 94×103 based on model length. The measurements were conducted in a water channel on a spanwise plane 1.3 chord lengths downstream from the trailing edge of the sail. In the vicinity of the sail hull junction, the presence of streamwise vortices in the form of horseshoe or necklace vortices locally dominates the flow. As the yaw angle is increased from 6 deg to 9 deg, the circulation of the sail tip vortex increases, and is in good accordance with predictions from finite wing theory. However, as the yaw angle is further increased, the sail boundary layer separates with an overall drop in circulation. In contrast, the circulation value for the junction vortex increases with yaw angle, and only drops slightly at the highest yaw angle.

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Copyright © 2011 by American Society of Mechanical Engineers
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Figures

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Figure 1

SUBOFF model and flow visualization of the junction vortex upstream of the support at a Reynolds number of 64×103. Flow is from left to right.

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Figure 2

(a) Top view and (b) side view of the experimental setup

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Figure 3

Instantaneous nondimensional streamwise vorticity field, ω∗=ωxC/U∞, at x/C=1.3. In this view, the model profile is not circular because α=9 deg.

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Figure 4

Tip vortex location at random snap shots in time: ○, α=6 deg; +, 9 deg; ◇, 12 deg; and ◻, 17 deg

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Figure 5

Instantaneous circulation distributions for sail tip vortex at ReC=8.2×103. (a) α=6 deg, (b) 9 deg, and (c) 12 deg. Each symbol corresponds to a random snap shot in time.

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Figure 6

Mean streamwise vorticity field, ω∗=ωxC/U∞, at x/C=1.3. In these views, the model profile is not circular because (a) α=6 deg, (b) 9 deg, (c) 12 deg, and (d) 17 deg.

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Figure 7

Mean circulation distribution of junction vortex: ○, α=6 deg; +, 9 deg; ◇, 12 deg; and ◻, 17 deg

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Figure 8

Mean circulation for 6 deg≤α≤17 deg: ○, sail tip vortex; +, junction vortex (multiplied by 10); and —, sail tip vortex circulation from Eq. 2

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