Research Papers: Flows in Complex Systems

Power-Law Fluid Flow Passing Two Square Cylinders in Tandem Arrangement

[+] Author and Article Information
Izadpanah Ehsan

e-mail: Izadpanah.Ehsan@gmail.com

Jafarizade Ali

Department of Mechanical Engineering,
Yazd University,
Yazd 89195-741, Iran

Ebrahim Sharifi Tashnizi

Department of Industrial and Mechanical
Tafresh University,
Tafresh 39518-79611, Iran

1Corresponding author.

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received April 3, 2012; final manuscript received February 7, 2013; published online April 8, 2013. Assoc. Editor: D. Keith Walters.

J. Fluids Eng 135(6), 061101 (Apr 08, 2013) (8 pages) Paper No: FE-12-1168; doi: 10.1115/1.4023853 History: Received April 03, 2012; Revised February 07, 2013

Two-dimensional laminar flow of a power-law fluid passing two square cylinders in a tandem arrangement is numerically investigated in the ranges of 1< Re< 200 and 1 ≤ G ≤ 9. The fluid viscosity power-law index lies in the range 0.5 ≤ n ≤ 1.8, which covers shear-thinning, Newtonian and shear-thickening fluids. A finite volume code based on the SIMPLEC algorithm with nonstaggered grid is used. In order to discretize the convective and diffusive terms, the third order QUICK and the second-order central difference scheme are used, respectively. The influence of the power-law index, Reynolds number and gap ratio on the drag coefficient, Strouhal number and streamlines are investigated, and the results are compared with other studies in the literature to validate the methodology. The effect of the time integration scheme on accuracy and computational time is also analyzed. In the ranges of Reynolds number and power-law index studied here, vortex shedding is known to occur for square cylinders in tandem. This study represents the first systematic investigation of this phenomenon for non-Newtonian fluids in the open literature. In comparison to Newtonian fluids, it is found that the onset of leading edge separation occurs at lower Reynolds number for shear-thinning fluids and is delayed to larger values for shear-thickening fluids.

Copyright © 2013 by ASME
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Fig. 1

Schematics of the flow over a pair of cylinders in tandem arrangement

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Fig. 2

Nonuniform computational grid with 169 × 266 grid points

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Fig. 3

Instantaneous streamlines during one cycle of vortex shedding for the tandem square cylinders at nine instants at Re = 100, G=5 for (a) n=0.6, (b), n=1.0, and (c) n=1.6

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Fig. 4

Time averaged streamlines at Re = 80, 160, and G=9 for n=0.6, 0.8, 1.0, and 1.6

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Fig. 5

Variation of Strouhal number versus Reynolds number at G=5 for (a) shear-thinning fluids and (b) shear-thickening

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Fig. 6

Variation of time-averaged total drag coefficient with Reynolds number for shear-thickening and shear-thinning fluids at the upstream and downstream cylinders at Re ≤ 40

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Fig. 7

Variation of time-averaged total drag coefficient with Reynolds number for shear-thickening and shear-thinning fluids at the upstream and downstream cylinders at Re > 40



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