Forced convection from a rotationally oscillating cylinder placed in a uniform stream

Abstract Forced convection from a heated cylinder performing rotational oscillation about its own axis and placed in a uniform stream is investigated. The governing equations of motion and energy are solved numerically to determine the flow field characteristics and the heat transfer coefficients. The main dominating parameters are Reynolds numbers, Re , Prandtl number, Pr , amplitude of oscillation, Θ A , and the frequency ratio, F R , which represents the ratio between the frequency of oscillation, f , and the natural frequency of vortex shedding, f 0 . The ranges considered for these parameters are 40≤ Re ≤200, 0≤ Θ A ≤ π and 0≤ F R ≤2, while the Prandtl number is kept constant at 0.7. The lock-on phenomenon has been detected and its effect on the thermal field has been determined. The results show that the lock-on phenomenon occurs within a band of frequency near the natural frequency and the heat transfer coefficient has shown appreciable increase in the lock-on frequency range.

[1]  R. Ahmad.  Steady-State Numerical Solution of the Navier-Stokes and Energy Equations around a Horizontal Cylinder at Moderate Reynolds Numbers from 100 to 500 , 1996 .

[2]  Kenji Takahashi,et al.  A New Correlation Method for the Effect of Vibration on Forced-Convection Heat Transfer , 1990 .

[3]  Peter Stansby,et al.  The locking-on of vortex shedding due to the cross-stream vibration of circular cylinders in uniform and shear flows , 1976, Journal of Fluid Mechanics.

[4]  G. Rankin,et al.  A finite difference calculation of forced convective heat transfer from an oscillating cylinder , 1994 .

[5]  On the wake of a cylinder with rotational oscillations , 1989 .

[6]  P. Dimotakis,et al.  The lift of a cylinder executing rotary motions in a uniform flow , 1993, Journal of Fluid Mechanics.

[7]  Peter D. Richardson,et al.  Heat and mass transfer in turbulent separated flows , 1963 .

[8]  S. Dennis,et al.  Time-dependent viscous flow past an impulsively started rotating and translating circular cylinder , 1985, Journal of Fluid Mechanics.

[9]  Chin‐Hsiang Cheng,et al.  Numerical prediction of lock-on effect on convective heat transfer from a transversely oscillating circular cylinder , 1997 .

[10]  R. Bishop,et al.  The lift and drag forces on a circular cylinder oscillating in a flowing fluid , 1964, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[11]  A. Roshko.  On the development of turbulent wakes from vortex streets , 1953 .

[12]  M. Chou.  Synchronization of vortex shedding from a cylinder under rotary oscillation , 1997 .

[13]  N. Ko,et al.  Heat transfer from a vibrating cylinder , 1981 .

[14]  S. Taneda.  Visual Observations of the Flow past a Circular Cylinder Performing a Rotatory Oscillation , 1978 .

[15]  A. Ramachandran,et al.  Effect of vibration on heat transfer from a horizontal cylinder to a normal air stream , 1961 .

[16]  J. R. Filler,et al.  Response of the shear layers separating from a circular cylinder to small amplitude rotational oscillations , 1990 .

[17]  Xi-Yun Lu,et al.  A NUMERICAL STUDY OF FLOW PAST A ROTATIONALLY OSCILLATING CIRCULAR CYLINDER , 1996 .

[18]  A. Laird,et al.  Heat Transfer from a Cylinder Oscillating in a Cross-Flow , 1978 .

[19]  P. Jain,et al.  A Numerical Study of Unsteady Laminar Forced Convection From a Circular Cylinder , 1976 .

[20]  B. G. Van Der Hegge Zijnen,et al.  Heat transfer from horizontal cylinders to a turbulent air flow , 1958 .

[21]  Owen M. Griffin,et al.  Vortex shedding from a cylinder vibrating in line with an incident uniform flow , 1976, Journal of Fluid Mechanics.

[22]  C. Williamson.  Oblique and parallel modes of vortex shedding in the wake of a circular cylinder at low Reynolds numbers , 1989, Journal of Fluid Mechanics.

[23]  R. Mayle,et al.  Heat transfer on a rotationally oscillating cylinder in crossflow , 1984 .

[24]  Chin-Hsiang Cheng,et al.  Experimental Study of the Effect of Transverse Oscillation on Convection Heat Transfer From a Circular Cylinder , 1997 .

[25]  V. Morgan.  The Overall Convective Heat Transfer from Smooth Circular Cylinders , 1975 .

[26]  Y. Tanida,et al.  Stability of a circular cylinder oscillating in uniform flow or in a wake , 1973, Journal of Fluid Mechanics.

[27]  Malcolm L. Spaulding,et al.  Numerical Solution for Laminar Two Dimensional Flow About a Cylinder Oscillating in a Uniform Stream , 1982 .

[28]  A. Okajima,et al.  Viscous Flow Around a Rotationally Oscillating Circular Cylinder , 1975 .

[29]  P. Dimotakis,et al.  Rotary oscillation control of a cylinder wake , 1989, Journal of Fluid Mechanics.

[30]  S. Dennis,et al.  Flow past an impulsively started circular cylinder , 1973, Journal of Fluid Mechanics.

[31]  J. R. Filler,et al.  Response of the shear layers separating from a circular cylinder to small-amplitude rotational oscillations , 1991, Journal of Fluid Mechanics.