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Numerical investigation of effects of buoyancy around a heated circular cylinder in parallel and contra flow

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Abstract

Two-dimensional, steady, incompressible Navier-Stokes and energy equations are expressed in the stream function/vorticity formulation and solved numerically by finite difference method to study effects of buoyancy on fluid flow and heat transfer from a horizontal circular cylinder. The cylinder is exposed to approaching flow stream, for parallel (parallel flow) and opposing (contra flow) directions to the buoyant force. Two different thermal boundary conditions were considered at the cylinder surface: constant temperature (CT) and constant heat flux (CHF). The results elucidating the dependence of the flow and heat transfer characteristics on the Richardson number 0≤ Ri ≤ 2, Prandtl number 0 ≤ Pr ≤ 100 and Reynolds number 0 ≤ Re ≤ 40 are presented. Overall, for parallel flow regime, an increase in the Ri led to a raise in both Nusselt number and drag coefficient. However, for contra flow regime, these trends were reversed. For both regimes, the aforementioned behaviors were more pronounced for CT boundary condition than that for the CHF boundary condition.

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Authors and Affiliations

  1. Escola de Ciências e Tecnologias, Universidade de Trás-os-Montes e Alto Douro, Apartado 1013, 5001-801, Vila Real, Portugal

    Armando A. Soares, Nuno D. Couto, M. Duarte Naia & Norberto J. Gonçalves

  2. CITAB/UTAD, Quinta de Prados, Apartado 1013, 5001-801, Vila Real, Portugal

    Armando A. Soares, Nuno D. Couto, M. Duarte Naia, Norberto J. Gonçalves & Abel Rouboa

  3. Dep. Eng. Mecânica — Pinhal de Marrocos, CEMUC®, 3030-788, Coimbra, Portugal

    M. Duarte Naia

  4. GCEP, Centro de Física da Universidade do Minho, 4710-057, Braga, Portugal

    Norberto J. Gonçalves

  5. Department of Mechanical Engineering and Applied Mechanics, University of Pennsylvania, Philadelphia, 19021, USA

    Abel Rouboa

Authors
  1. Armando A. Soares
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  2. Nuno D. Couto
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  3. M. Duarte Naia
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  4. Norberto J. Gonçalves
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  5. Abel Rouboa
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Corresponding author

Correspondence to Abel Rouboa.

Additional information

Recommended by Associate Editor Man-Yeong Ha.

Abel Rouboa obtained his Ph.D (1994) in Fluid Dynamics at University of Paris VI and CEA in France, before joining the University of Evry Val d’E-ssonne, Paris, as assistant professor. In September 1999, he joined University of UTAD at Vila Real, Portugal as assistant professor then in 2003 as associate professor. His teaching interests include heat transfer, fluid mechanics and numerical analysis. Professor Rouboa’s research interests focus on computational fluid dynamics emphasis on heat and mass transfer. Currently, his research works is, strongly, linking with department of Mechanical Engineering and Applied Mechanics of University of Pennsylvania on renewable energy.

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Soares, A.A., Couto, N.D., Duarte Naia, M. et al. Numerical investigation of effects of buoyancy around a heated circular cylinder in parallel and contra flow. J Mech Sci Technol 26, 1501–1513 (2012). https://doi.org/10.1007/s12206-012-0310-1

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  • DOI: https://doi.org/10.1007/s12206-012-0310-1

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