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
Roshko, A. On the weak and drag of bluff bodies. J. Aeronaut. Sci., 22, 124–132 (1955)
Williamson, C. H. K. Vortex dynamics in the cylinder wake. Annual Review of Fluid Mechanics, 28, 477–526 (1996)
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
Jordon, S. K. and Fromm, J. E. Laminar flow past a circle in a shear flow. Physics of Fluids, 15, 972–976 (1972)
Tamura, H., Kiya, M., and Arie, M. Numerical study on viscous shear flow past a circular cylinder. Bulletin of JSME, 23, 1952–1958 (1980)
Wu, T. and Chen, C. F. Laminar boundary-layer separation over a circular cylinder in uniform shear flow. Acta Mechanica, 144, 71–82 (2000)
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)
Kang, S. Uniform-shear flow over a circular cylinder at low Reynolds numbers. Journal of Fluids and Structures, 22, 541–555 (2006)
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)
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)
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)
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)
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)
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)
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)
Mittal, S. and Kumar, B. Flow past a rotating cylinder. Journal of Fluid Mechanics, 476, 303–334 (2003)
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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