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Underlay mechanism in lift-drag phase diagrams for shear flow over cylinder

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Abstract

The characteristics of a uniform-shear flow over a circular cylinder are investigated numerically by using the alternative-direction implicit (ADI) algorithm and a fast Fourier transform (FFT) one in the exponential-polar coordinates for Re=150 and 0⩽K ⩽ 0.46. The diagram of lift-drag phase, implying the detail information about the fluctuations of drag and lift as well as the flow patterns in the wake and fluctuating pressure on the cylinder surface, is used to describe the effects of the shear rate on the flow. Results show that the upper (or lower) closed curve of a phase diagram corresponds to the first (or second) half shedding cycle. The lift-drag phase diagram will move down-left with the increase of shear rate K such that the lift is exerted from the upper side to the lower side, and the drag on the first half shedding cycle is smaller than that on the second half.

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References

  1. Roshko, A. On the weak and drag of bluff bodies. J. Aeronaut. Sci., 22, 124–132 (1955)

    Article  MATH  Google Scholar 

  2. Williamson, C. H. K. Vortex dynamics in the cylinder wake. Annual Review of Fluid Mechanics, 28, 477–526 (1996)

    Article  Google Scholar 

  3. Zhang, H., Fan, B. C., and Chen, Z. H. Evolution of global enstrophy in cylinder wake controlled by Lorentz force. Applied Mathematics and Mechanics (English Edition), 29(11), 1505–1516 (2008) DOI 10.1007/s10483-008-1111-y

    Article  MATH  Google Scholar 

  4. Jordon, S. K. and Fromm, J. E. Laminar flow past a circle in a shear flow. Physics of Fluids, 15, 972–976 (1972)

    Article  Google Scholar 

  5. Tamura, H., Kiya, M., and Arie, M. Numerical study on viscous shear flow past a circular cylinder. Bulletin of JSME, 23, 1952–1958 (1980)

    Article  Google Scholar 

  6. Wu, T. and Chen, C. F. Laminar boundary-layer separation over a circular cylinder in uniform shear flow. Acta Mechanica, 144, 71–82 (2000)

    Article  MATH  Google Scholar 

  7. Lei, C., Cheng, L., and Kavanagh, K. A finite difference solution of the shear flow over a circular cylinder. Ocean Engineering, 27, 271–290 (2000)

    Article  Google Scholar 

  8. Kang, S. Uniform-shear flow over a circular cylinder at low Reynolds numbers. Journal of Fluids and Structures, 22, 541–555 (2006)

    Article  Google Scholar 

  9. Kiya, M., Tamura, H., and Arie, M. Vortex shedding from a circular cylinder in moderate-Reynolds-number shear flow. Journal of Fluid Mechanics, 141, 721–735 (1980)

    Article  Google Scholar 

  10. Kwon, T. S., Sung, H. J., and Hyun, J. M. Experimental investigation of uniform-shear-flow past a circular cylinder. Journal of Fluids Engineering Transactions of the ASME, 114, 457–460 (1992)

    Article  Google Scholar 

  11. Hayashi, T., Yoshino, F., and Waka, R. The aerodynamics characteristics of a circular cylinder with tangential blowing in uniform shear flows. JSME International Journal Series B, 36, 101–112 (1993)

    Article  Google Scholar 

  12. Sumner, D. and Akosile, O. O. On uniform planar shear flow around a circular cylinder at subcritical Reynolds number. Journal of Fluids and Structures, 18, 441–454 (2003)

    Article  Google Scholar 

  13. Zhang, H., Fan, B. C., and Chen, Z. H. Computations of optimal cylinder flow control in weakly conductive fluids. Computers & Fluids, 39(8), 1261–1266 (2010)

    Article  MATH  Google Scholar 

  14. Zhang, H., Fan, B. C., and Chen, Z. H. Optimal control of cylinder wake by electromagnetic force based on the adjoint flow field. European Journal of Mechanics-B/Fluids, 29(1), 53-60 (2010)

    Google Scholar 

  15. Fey, U., Konig, M., and Eckelmann, H. A new Strouhal-Reynolds-number relationship for circular cylinder in the range 47<Re<2 × 105. Physics of Fluids, 10, 1547–1549 (1998)

    Article  Google Scholar 

  16. Mittal, S. and Kumar, B. Flow past a rotating cylinder. Journal of Fluid Mechanics, 476, 303–334 (2003)

    Article  MATH  MathSciNet  Google Scholar 

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Correspondence to Bao-chun Fan  (范宝春).

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Project supported by the National Natural Science Foundation of China (Nos. 11202102 and 11172140) and the Specialized Research Fund for Doctoral Program of High Education (No. 20123219120050)

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Zhang, H., Fan, Bc., Chen, Zh. et al. Underlay mechanism in lift-drag phase diagrams for shear flow over cylinder. Appl. Math. Mech.-Engl. Ed. 35, 221–228 (2014). https://doi.org/10.1007/s10483-014-1785-8

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  • DOI: https://doi.org/10.1007/s10483-014-1785-8

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Chinese Library Classification

2010 Mathematics Subject Classification

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