The periodic state of laminar flow and heat transfer due to an insulated or isothermal rotating cylinder object in a square cavity is investigated computationally. A finite-volume-based computational methodology utilizing primitive variables is used. Various rotating objects (circle, square, and equilateral triangle) with different sizes are placed in the middle of a square cavity. A combination of a fixed computational grid and a sliding mesh was utilized for the square and triangle shapes. For the insulated and isothermal objects, the cavity is maintained as differentially heated and isothermal enclosures, respectively. Natural convection heat transfer is neglected. For a given shape of the object and a constant angular velocity, a range of rotating Reynolds numbers are covered for a fluid. The Reynolds numbers were selected so that the flow fields are not generally affected by the Taylor instabilities . The periodic flow field, the interaction of the rotating objects with the recirculating vortices at the four corners, and the periodic channeling effect of the traversing vertices are clearly elucidated. The simulations of the dynamic flow fields were confirmed against experimental data obtained by particle image velocimetry. The corresponding thermal fields in relation to the evolving flow patterns and the skewness of the temperature contours in comparison to the conduction-only case were discussed. The skewness is observed to become more marked as the Reynolds number is lowered. Transient variations of the average Nusselt numbers of the respective systems show that for high Re numbers, a quasiperiodic behavior due to the onset of the Taylor instabilities is dominant, whereas for low Re numbers, periodicity of the system is clearly observed. Time-integrated average Nusselt numbers of the insulated and isothermal object systems were correlated with the rotational Reynolds number and shape of the object. For high Re numbers, the performance of the system is independent of the shape of the object. On the other hand, with lowering of the hydraulic diameter (i.e., bigger objects), the triangle and the circle exhibit the highest and lowest heat transfers, respectively. High intensity of the periodic channeling and not its frequency is identified as the cause of the observed enhancement.
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November 2009
This article was originally published in
Journal of Heat Transfer
Research Papers
Periodic Fluid Flow and Heat Transfer in a Square Cavity Due to an Insulated or Isothermal Rotating Cylinder
Y.-C. Shih,
Y.-C. Shih
Department of Energy and Refrigerating Air-Conditioning Engineering,
e-mail: f10958@ntut.edu.tw
National Taipei University of Technology
, 1, Sec. 3, Chung-Hsiao, E. Road, Taipei, Taiwan 106, R.O.C.
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J. M. Khodadadi,
J. M. Khodadadi
Department of Mechanical Engineering, 270 Ross Hall,
e-mail: khodajm@auburn.edu
Auburn University
, AL 36849-5341
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K.-H. Weng,
K.-H. Weng
Department of Energy and Refrigerating Air-Conditioning Engineering,
National Taipei University of Technology
, 1, Sec. 3, Chung-Hsiao, E. Road, Taipei, Taiwan 106, R.O.C.
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A. Ahmed
A. Ahmed
Department of Aerospace Engineering,
Auburn University
, AL 36849
Search for other works by this author on:
Y.-C. Shih
Department of Energy and Refrigerating Air-Conditioning Engineering,
National Taipei University of Technology
, 1, Sec. 3, Chung-Hsiao, E. Road, Taipei, Taiwan 106, R.O.C.e-mail: f10958@ntut.edu.tw
J. M. Khodadadi
Department of Mechanical Engineering, 270 Ross Hall,
Auburn University
, AL 36849-5341e-mail: khodajm@auburn.edu
K.-H. Weng
Department of Energy and Refrigerating Air-Conditioning Engineering,
National Taipei University of Technology
, 1, Sec. 3, Chung-Hsiao, E. Road, Taipei, Taiwan 106, R.O.C.
A. Ahmed
Department of Aerospace Engineering,
Auburn University
, AL 36849J. Heat Transfer. Nov 2009, 131(11): 111701 (11 pages)
Published Online: August 19, 2009
Article history
Received:
July 30, 2008
Revised:
April 26, 2009
Published:
August 19, 2009
Citation
Shih, Y., Khodadadi, J. M., Weng, K., and Ahmed, A. (August 19, 2009). "Periodic Fluid Flow and Heat Transfer in a Square Cavity Due to an Insulated or Isothermal Rotating Cylinder." ASME. J. Heat Transfer. November 2009; 131(11): 111701. https://doi.org/10.1115/1.3154620
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