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Research Papers: Flows in Complex Systems

The Effects of Fins on the Intermediate Wake of a Submarine Model

[+] Author and Article Information
Juan M. Jiménez1

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

Ryan T. Reynolds

Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544-5263ryan.reynolds@lmco.com

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 132(3), 031102 (Mar 04, 2010) (7 pages) doi:10.1115/1.4001010 History: Received September 08, 2009; Revised January 11, 2010; Published March 04, 2010; Online March 04, 2010

Results are presented on the behavior of the turbulent wake behind a submarine model for a range of Reynolds numbers based on the model length between 0.49×106 and 1.8×106, for test locations between 3 and 9 diameters downstream of the stern. The shape of the model emulates an idealized submarine, and tests were performed with and without stern fins. In the absence of fins, the velocity profile in planes away from the influence of the sail rapidly becomes self-similar and is well described by a function of exponentials. The fins create defects in the velocity profiles in the outer region of the wake, while yielding higher values of turbulence at locations corresponding to the tips of the fins. Measurements conducted in planes away from the midline plane show that the velocity profiles remain self-similar, while the shear stress profiles clearly show the effects of the necklace vortices trailing from the base of the fins.

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Copyright © 2010 by American Society of Mechanical Engineers
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Figures

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Figure 1

Wake flow behind an axisymmetric body and defining nomenclature for the flow

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Figure 2

Three different offset planes z/D=0, 0.125, and 0.25; view is looking upstream

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Figure 3

Instantaneous nondimensional spanwise vorticity fields ω∗=ωzD/Ue centered around x/D= (a) 3, (b) 6, and (c) 9; no fins

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Figure 4

Mean axial velocity profiles on the midline at x/D= (a) 4.5 and (b) 8.5 for ReL=4.9×105, ○; 1.1×106, +; 1.4×106, ◇; and 1.8×106, ◻. The functions f1, ——, f2, - - -, and f3, ⋯ are defined by Eqs. 1,2,3, respectively.

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Figure 5

Mean velocity profiles for the offset planes z/D=0, ○; 0.125, +; 0.25, ◇; and f1, ——, at ReL=1.2×106 and x/D=6: (a) normalized by Ue and D; (b) in similarity form

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Figure 6

Axial turbulence intensity on the midline plane at x/D=3, ○, and x/D=6, +, for ReL=1.0×106; no fins: (a) normalized by Ue and D; (b) in similarity form

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Figure 7

Fins mounted on the stern of the SUBOFF submarine model

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Figure 8

Effects of fins on the mean velocity profile at x/D=6 for ReL=1.2×106: without fins, ○; with fins, +; and f1, ——

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Figure 9

Effects of fins on the mean velocity profiles at x/D=6 and ReL=1.2×106 for offset planes z/D=0, ○; 0.125, +; 0.25, ◇; and f1, ——: (a) normalized by Ue and D; (b) in similarity form

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Figure 10

Axial turbulence intensity at x/D=6, for offset planes z/D=0, ○; 0.125, +; and 0.25, ◇: (a) without fins and (b) with fins

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Figure 11

Normal turbulence intensity at x/D=6, for offset planes z/D=0, ○; 0.125, +; and 0.25, ◇: (a) without fins and (b) with fins

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Figure 12

Turbulent shear stress at x/D=6, for offset planes z/D=0, ○; 0.125, +; and 0.25, ◇: (a) without fins and (b) with fins

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