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Numerical Study of Flow Around an Oscillating Diamond Prism and Circular Cylinder at Low Keulegan-Carpenter Number

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Abstract

In order to identify the influence of shape corners on the instantaneous forces in the case of oscillating bodies, the simulated flow field is compared for two kinds of cross sections: diamond prism and circular cylinder. For these two flow configurations, the same Reynolds number and a Keulegan-Carpenter are considered. To compute the dynamic flow field surrounding the body, the Navier-Stokes transport equations in a non-inertial reference frame attached to the body are considered. Hence, a source term is added locally to the momentum equation to take into account the body acceleration. The proposed model is solved using the PHOENICS code. For the oscillating circular cylinder, the simulated results are in good agreement with the experimental data available in the litterature. After validation of this proposed model, flow field for diamond prism is determined. For both bodies, the process of the vortex formation is similar, with the formation of a recirculation zone in the near-wake containing a symmetric pair of vortices of equal strength and opposite rotation. The length of recirculation zone varies approximately linearly with time. However, the in-line force coefficient of the oscillating diamond prism is found to be greatest, since the recirculation zone is longer compared with that of the oscillating circular cylinder.

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References

  1. SWAROOP A. Design of vortex flow meter [D]. Master Thesis, Delhi, India: Indian Institute of Technology Delhi, 1990.

    Google Scholar 

  2. NORBERG C. Fluctuating lift on a circular cylinder: Review and new measurements [J]. Journal of Fluids and Structures, 2003, 17(1): 57–96.

    Article  MathSciNet  Google Scholar 

  3. WANG Jia-song. Flow around a circular cylinder using a finite-volume TCD scheme based on a vector transformation approach [J]. Journal of Hydrodynamics, 2010, 22(2): 221–228.

    Article  Google Scholar 

  4. KU X., LIN J. Numerical simulation of the flows over two tandem cylinders by lattice Boltzmann method [J]. Modern Physics Letters B, 2005, 19(28-29): 1551–1554.

    Article  Google Scholar 

  5. ZOU Lin, LIN Yu-feng and LU Hong. Flow patterns and force characteristics of laminar flow past four cyli-nders in diamond arrangement [J]. Journal of Hydro-dynamics, 2011, 23(1): 55–64.

    Article  Google Scholar 

  6. GHADIRI-DEHKORDI Behzad, SARVGHAD-MOGHADDAM Hesam and HOURI JAFARI Hamed. Numerical simulation of flow over two circular cylinders in tandem arrangement [J]. Journal of Hydro-dynamics, 2011, 23(1): 114–126.

    Article  Google Scholar 

  7. TATSUNO M., BEARMAN P. W. A visual study of the flow around an oscillating circular cylinder at low Keulegan-Carpenter numbers and low Stokes numbers [J]. Journal of Fluid Mechanics, 1990, 211: 157–182.

    Article  Google Scholar 

  8. LIN J.-C., ROCKWELL D. Quantitative interpretation of vortices from a cylinder oscillating in quiescent fluid [J]. Experiments in Fluids, 1997, 23(2): 99–104.

    Article  Google Scholar 

  9. DÜTSCH H., DURST F. and BECKER S. et al. Low-Reynolds-number flow around an oscillating cylinder at low Keulegan-Carpenter numbers [J]. Journal of Fluid Mechanics, 1998, 360: 249–271.

    Article  Google Scholar 

  10. ZHENG Z. C., ZHANG N. Frequency effects on lift and drag for flow past an oscillating cylinder [J]. Journal of Fluids and Structures, 2008, 24(3): 382–399.

    Article  MathSciNet  Google Scholar 

  11. SHEN L., CHAN E.-S. and LIN P. Calculation of hydrodynamic forces acting on a submerged moving object using immersed boundary method [J]. Computers and Fluids, 2009, 38(3): 691–702.

    Article  Google Scholar 

  12. LU X.-Y., SATO J. A numerical study of flow past a ro-tationally oscillating circular cylinder [J]. Journal of Fluids and Structures, 1996, 10(8): 829–849.

    Article  Google Scholar 

  13. ZHENG W., DALTON C. Numerical prediction of force on rectangular cylinders in oscillating viscous flow [J]. Journal of Fluids and Structures, 1999, 13(2): 225–249.

    Article  Google Scholar 

  14. BEARMAN P. W., GRAHAM J. M. R. and OBASAJU E. D. et al. The influence of corner radius on the forces experienced by cylindrical bluff bodies in oscillatory flow [J]. Applied Ocean Research, 1984, 6(2): 83–89.

    Article  Google Scholar 

  15. TEZDUYAR T. E., BEHR M. and LIOU J. A new strategy for finite element computations involving moving boundaries and interfaces-The deforming-spatial-domain/space-time procedure [J]. Computer Methods in Applied Mechanics and Engineering, 1992, 94(3): 339–351.

    Article  MathSciNet  Google Scholar 

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Correspondence to Belgacem Ghozlani.

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Biography: GHOZLANI Belgacem (1982-), Male, Ph. D. Candidate, Physics Instructor

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Ghozlani, B., Hafsia, Z. & Maalel, K. Numerical Study of Flow Around an Oscillating Diamond Prism and Circular Cylinder at Low Keulegan-Carpenter Number. J Hydrodyn 24, 767–775 (2012). https://doi.org/10.1016/S1001-6058(11)60302-8

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  • DOI: https://doi.org/10.1016/S1001-6058(11)60302-8

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