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Numerical simulation of mixed convection in vertical concentric cylinders

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Abstract

We conduct numerical simulation of mixed convection in a gap between rotating hot inner cylinder and stationary cold outer cylinder to investigate flow regimes at various intensities of rotational speed and buoyancy in terms of Reynolds number and Grashof number. For the current study, a projection method with explicit Adams-Bashforth and implicit Crank-Nicolson schemes was adopted. Flows with various Reynolds numbers are investigated at fixed Grashof number, and flow pattern is examined through streamlines and iso-surfaces of helicity. Phase plots constructed by velocity components, Nusselt number and torque reveal the transition between different flow regimes. With Grashof number less than 3000, the flow go through a sequence of axisymmetric, spiral and Taylor-Couette flow as Reynolds number increases, while the flow with Grashof number 4000 shows complex pattern including quasi-periodic flows and chaos in a wide range of Reynolds number. Transition to chaos is investigated using the budget analysis of centrifugal and buoyant forces, indicating that competition between the two driving forces causes chaos.

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Authors and Affiliations

  1. Department of Computational Science and Engineering, Yonsei University, Seoul, 120-749, Korea

    Sangro Park & Changhoon Lee

  2. Rotating Machinery Research Department, Hyundai Heavy Industries, 17-10 Mabuk-ro, 240beon-gil, Giheung-gu, Yongin-si, Gyeonggi-do, 446-912, Korea

    Younghoon Jung

  3. Department of Mechanical Engineering, Yonsei University, Seoul, 120-749, Korea

    Changhoon Lee

Authors
  1. Sangro Park
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  2. Younghoon Jung
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  3. Changhoon Lee
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Correspondence to Changhoon Lee.

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Recommended by Associate Editor Donghyun You

Sangro Park obtained his B.S. degree from Department of Mechanical Engineering in Yonsei University, Seoul, Korea. His research interests are direct numerical simulations of interaction between thermal structures and particles in Natural convection.

Changhoon Lee received his B.S. (1985) and M.S. (1987) degrees from Seoul National University, Seoul, Korea and Ph.D. (1993) from UC Berkeley, USA., in Mechanical Engineering. He is Professor in the Department of Computational Science & Engineering and Department of Mechanical Engineering, Yonsei University, Korea. His research interests include fundamentals of turbulence, particle-turbulence interaction, numerical algorithms, air pollution modeling and stochastic process.

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Park, S., Jung, Y. & Lee, C. Numerical simulation of mixed convection in vertical concentric cylinders. J Mech Sci Technol 29, 4745–4755 (2015). https://doi.org/10.1007/s12206-015-1022-0

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  • DOI: https://doi.org/10.1007/s12206-015-1022-0

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