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Research Papers: Fundamental Issues and Canonical Flows

Effect of Axis Ratio on Fluid Flow Around an Elliptic Cylinder—A Numerical Study

[+] Author and Article Information
S. Kalyana Raman

M.S. Research Scholar
e-mail: kalyan_aero@yahoo.com

K. Arul Prakash

Assistant Professor
e-mail: arulk@iitm.ac.in

S. Vengadesan

Associate Professor
e-mail: vengades@iitm.ac.in
Department of Applied Mechanics,
Indian Institute of Technology Madras,
Chennai 627006, India

1Corresponding author.

Contributed by the Fluids Engineering Division of ASME for publication in the Journal of Fluids Engineering. Manuscript received November 8, 2012; final manuscript received June 4, 2013; published online August 7, 2013. Assoc. Editor: Zhongquan Charlie Zheng.

J. Fluids Eng 135(11), 111201 (Aug 07, 2013) (10 pages) Paper No: FE-12-1564; doi: 10.1115/1.4024862 History: Received November 08, 2012; Revised June 04, 2013

The bluff body simulations over canonical forms like circular and square cylinders are very well studied and the correlations for bulk parameters like mean drag coefficient and Strouhal numbers for the same are reported widely. In the case of elliptic cylinder, the literature is very sparse, especially for moderate Reynolds number (Re). Hence, in this work, a detailed study about fluid flow characteristics over an elliptic cylinder placed in a free stream is performed. Simulations are carried out for different Re ranging from 50 to 500 with axis ratio (AR) varied between 0.1 to 1.0 in steps of 0.1. Immersed boundary method is used for the solid boundary condition implementation which avoids the grid generation for each AR and a single Cartesian grid is used for all the simulations. The effect of AR for various Reynolds numbers is also focused on using the in-house code. The influence of AR is phenomenal for all the Re and the values of wake length, drag coefficient, and Strouhal number decrease with decreasing AR for a particular Re. The critical ARs, for vortex shedding and wake formation, are identified for various Re. Detailed correlations for wake length, critical ARs for vortex shedding and wake formation, mean drag coefficient and Strouhal number, in terms of AR, are reported in this work.

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Figures

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Fig. 1

Computational domain with boundary conditions

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Fig. 2

Comparison of Cd_av (Filled symbols and dashed line correspond to Cd_av versus AR plot at Re = 40)

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Fig. 3

Comparison of rear axis velocity behind the circular cylinder (AR = 1.0) at Re = 40

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Fig. 4

Time history of CL (a) Re = 50; (b) Re = 100

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Fig. 5

Effect of Re on ARcrs

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Fig. 6

Instantaneous vorticity contours at (left side AR = ARcrs, right side AR > ARcrs,) (a) Re = 100, AR = 0.6 (b) Re = 100. AR = 0.7 (c) Re = 200, AR = 0.4 (d) Re = 200. AR = 0.5 (e) Re = 400, AR = 0.2 (f) Re = 400. AR = 0.3.

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Fig. 7

Representation of different flow regime

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Fig. 8

Effect of AR on wake length

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Fig. 9

Effect of AR on rear axis velocity (a) Re = 50 (b) Re = 100

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Fig. 10

Effect of AR and Re on mean drag coefficient

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Fig. 11

Cd_av values for different Re at AR = 0.1 and 1.0

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Fig. 12

Cd_av/Cdo values for different AR

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Fig. 13

Comparison of St for circular cylinder (AR = 1.0) for various Re

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Fig. 14

Effect of AR and Re on Strouhal number

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Fig. 15

St*AR/St0 values for various AR

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