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Research Papers: Fundamental Issues and Canonical Flows

Low Reynolds Number Flow Characteristics for Two Side by Side Rotating Cylinders

[+] Author and Article Information
K. Supradeepan

Department of Aerospace Engineering,
Indian Institute of Technology Kharagpur,
Kharagpur 721 302, West Bengal, India
e-mail: supradeepan@gmail.com

Arnab Roy

Associate Professor
Department of Aerospace Engineering,
Indian Institute of Technology Kharagpur,
Kharagpur 721 302, West Bengal, India
e-mail: arnab@aero.iitkgp.ernet.in

1Corresponding author.

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received June 20, 2014; final manuscript received March 23, 2015; published online June 15, 2015. Assoc. Editor: Sharath S. Girimaji.

J. Fluids Eng 137(10), 101204 (Oct 01, 2015) (10 pages) Paper No: FE-14-1323; doi: 10.1115/1.4030486 History: Received June 20, 2014; Revised March 23, 2015; Online June 15, 2015

Numerical simulations were performed for two-dimensional viscous incompressible flow past two stationary side-by-side rotating circular cylinders at Reynolds number (Re) 100 by varying center-to-center distance between the cylinders from 1.1 to 3.5 times the diameter (D) of a cylinder and different rotational speed ratio (α) = 0.5, 1.0, and 1.25. The incompressible Navier–Stokes equations were solved using consistent flux reconstruction (CFR) technique of Roy and Bandyopadhyay (2006, “A Finite Volume Method for Viscous Incompressible Flows Using a Consistent Flux Reconstruction Scheme,” Int. J. Numer. Methods Fluids, 52(3), pp. 297–319). Eight different flow regimes were observed within the investigated parametric space. An attempt has been made to characterize the different flow regimes using vorticity contours, λ2 criterion, and force coefficients. All these above stated methods confirm the existence of eight different regimes in the flow.

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Figures

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Fig. 1

Computational domain

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Fig. 2

Variation of time averaged force coefficients with rotation speed ratio for single rotating cylinder at Re = 100: (a) lift coefficient and (b) drag coefficient

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Fig. 3

Direction of rotation

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Fig. 4

Contours for T = 1.2D and α = 0.5: (a) vorticity contours and (b) λ2 contours

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Fig. 5

History of force coefficients for T = 1.2D and α = 0.5: (a) history of lift coefficients and (b) history of drag coefficients

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Fig. 6

Contours for T = 1.9D and α = 0.5: (a) vorticity contours and (b) λ2 contours

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Fig. 7

History of force coefficients for T = 1.9D and α = 0.5: (a) history of lift coefficients and (b) history of drag coefficients

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Fig. 8

Contours for T = 1.1D and α = 1.25: (a) vorticity contours and (b) λ2 contours

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Fig. 9

History of force coefficients for T = 1.1D and α = 1.25: (a) history of lift coefficients and (b) history of drag coefficients

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Fig. 10

Contours for T = 2.4D and α = 1.25: (a) vorticity contours and (b) λ2 contours

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Fig. 11

History of force coefficients for T = 2.4D and α = 1.25: (a) history of lift coefficients and (b) history of drag coefficients

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Fig. 12

Contours for T = 1.9D and α = 1.0: (a) vorticity contours and (b) λ2 contours

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Fig. 13

History of force coefficients for T = 1.9D and α = 1.0: (a) history of lift coefficients and (b) history of drag coefficients

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Fig. 14

Contours for T = 2.5D and α = 1.0: (a) vorticity contours and (b) λ2 contours

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Fig. 15

History of force coefficients for T = 2.5D and α = 1.0: (a) history of lift coefficients and (b) history of drag coefficients

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Fig. 16

Contours for T = 3.5D and α = 1.25: (a) vorticity contours and (b) λ2 contours

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Fig. 17

History of force coefficients for T = 3.5D and α = 1.25: (a) history of lift coefficients and (b) history of drag coefficients

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Fig. 18

Contours for T = 2.6D and α = 0.5, t = 50: (a) vorticity contours and (b) λ2 contours

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Fig. 19

Contours for T = 2.6D and α = 0.5, t = 200: (a) vorticity contours and (b) λ2 contours

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Fig. 20

History of force coefficients for T = 2.6D and α = 0.5: (a) history of lift coefficients and (b) history of drag coefficients

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Fig. 21

Zones of various regimes

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