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The effect of buoyancy on vortex shedding in the near wake of a circular cylinder

  • Keun-Shik Chang (a1) and Jong-Youb Sa (a1)
Abstract

The phenomenon of vortex shedding from a heated/cooled circular cylinder has been investigated numerically in the mixed natural and forced convection regimes. Accuracy of the computation was achieved by the fourth-order Hermitian relation applied to the contravariant velocity components in the convection terms of the vorticity transport equation, and by the far-boundary stream-function condition of an integral-series form developed by the authors. Purely periodic flows at Re = 100, efficiently established through the use of a direct elliptic solver called the SEVP, was found to degenerate into a steady twin-vortex pattern at the critical Grashof number 1500, confirming an earlier experimental observation identified as ‘breakdown of the Kármán vortex street’. Various other buoyancy effects about the heated/cooled cylinder are discussed by means of the flow patterns, the Nusselt number and the drag coefficient curves.

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References
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Badr, H. M.: 1984 Laminar combined convection from a horizontal cylinder – parallel and contra flow regimes. Intl J. Heat Mass Transfer 27, 15.
Berger, E.: 1964 Bestimmung der hydrodynamischen Groessen einer Karmanschen Wirbelstrasse aus Hitzdrahtmessungen bei kleinen Reynoldsschen Zahlen. Z. Flugwiss. 12, 41.
Berger, E. & Wille, R., 1972 Periodic flow phenomena. Ann. Rev. Fluid Mech. 4, 313.
Borthwick, A.: 1986 Comparison between two finite-difference schemes for computing the flow around a cylinder. Intl J. Num. Meth. Fluids 6, 275.
Davis, R. W. & Moore, E. F., 1982 A numerical study of vortex shedding from rectangles. J. Fluid Mech. 110, 475.
Davis, R. W., Moore, E. F. & Purtell, L. P., 1984 A numerical-experimental study of confined flow around rectangular cylinders. Phys. Fluids 27, 46.
Eckert, E. R. G. & Soehngen, E. 1952 Distribution of heat transfer coefficients around circular cylinder in cross flow at Reynolds numbers 20 to 500. Trans. ASME 74, 343.
Jain, P. C. & Goel, B. S., 1976 A numerical study of unsteady laminar forced convection from a circular cylinder. Trans. ASME C: J. Heat Transfer 98, 303.
Jain, P. C. & Lohar, B. L., 1979 Unsteady mixed convection heat transfer from a horizontal circular cylinder. Trans. ASME C: J. Heat Transfer 101, 126.
Jordan, S. K. & Fromm, J. E., 1972 Oscillating drag, lift and torque on a circular cylinder in a uniform flow. Phys. Fluids 15, 371.
Madala, R. V.: 1978 An efficient direct solver for separable and non-separable elliptic equations. Mon. Weath. Rev. 106, 1735.
Mcavaney, B. J. & Leslie, L. M., 1972 Comments on a direct solution of Poisson's equation by generalized sweep-out method. J. Met. Soc. Japan 50, 136.
Noto, K. & Matsumoto, R., 1985 A breakdown of the Kármán vortex street due to the natural convection. In Flow Visualization III, p. 348. Springer.
Noto, K. & Matsumoto, R., 1987a Numerical simulation on development of the Kármán vortex street due to the negative buoyant force. In Numerical Methods in Laminar and Turbulent Flow 5, p. 796. Pineridge.
Noto, K. & Matsumoto, R., 1987b Breakdown of the Kármán vortex street due to natural convection (case from an elliptic cylinder whose major axis oriented at right angle to main stream). In Numerical Methods in Thermal Problems 5, p. 484. Pineridge.
Oosthuizen, P. H. & Madan, S., 1971 The effect of flow direction on combined convective heat transfer from cylinders to air. Trans. ASME C: J. Heat Transfer 93, 240.
Roache, P. J.: 1975 Computational Fluid Dynamics. Hermosa.
Sa, J. Y. & Chang, K. S., 1990 On far-field stream function condition for two-dimensional incompressible flows. J. Comput. Phys., to appear.
Tritton, D. J.: 1959 Experiments on the flow past a circular cylinder at low Reynolds numbers. J. Fluid Mech. 6, 547.
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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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