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Free convection heat transfer and fluid flow above horizontal rectangular plates

Author

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  • Lewandowski, Witold M.
  • Radziemska, Ewa
  • Buzuk, Maciej
  • Bieszk, Henryk

Abstract

Results are presented from experimental and theoretical investigations of natural convective heat transfers from horizontal, rectangular, isothermal plates having different aspect ratios. Convective flow structures in water were visualized by injecting dye through openings along the edges of the plate for different values of the aspect ratio and Rayleigh number. Based upon these observations and previous studies of horizontal polygonal surfaces, two models for convective flow structures are proposed. In the first model, the direction of flow of the fluid was assumed to be perpendicular to the edges of the rectangle with the streamlines parallel to each other. In the second model, the flow was assumed to form structures in which the fluid flowed inwards radially from the edges. Solutions of these models are presented in the form of Nusselt-Rayleigh relations with the aspect ratio as a parameter. The theoretical solution was verified using water for rectangular plates having aspect ratios (i.e. length/width)=1 (square), 1.81, 2.52, 3.66, and 4.66.

Suggested Citation

  • Lewandowski, Witold M. & Radziemska, Ewa & Buzuk, Maciej & Bieszk, Henryk, 2000. "Free convection heat transfer and fluid flow above horizontal rectangular plates," Applied Energy, Elsevier, vol. 66(2), pages 177-197, June.
  • Handle: RePEc:eee:appene:v:66:y:2000:i:2:p:177-197
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    Cited by:

    1. Rupesh B. Kotapati & Richard Shock & Hudong Chen, 2014. "Lattice-Boltzmann Simulations Of Flows Over Backward-Facing Inclined Steps," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 25(01), pages 1-14.
    2. Ismail, M.S. & Ingham, D.B. & Hughes, K.J. & Ma, L. & Pourkashanian, M., 2013. "Thermal modelling of the cathode in air-breathing PEM fuel cells," Applied Energy, Elsevier, vol. 111(C), pages 529-537.
    3. Artur Cristea & Victor Sofonea, 2003. "Reduction Of Spurious Velocity In Finite Difference Lattice Boltzmann Models For Liquid–Vapor Systems," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 14(09), pages 1251-1266.
    4. Yong Rao & Yushan Ni & Chaofeng Liu, 2008. "Flow Effect Around Two Square Cylinders Arranged Side By Side Using Lattice Boltzmann Method," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 19(11), pages 1683-1694.
    5. Naoki Takada & Akio Tomiyama, 2007. "Numerical Simulation Of Isothermal And Thermal Two-Phase Flows Using Phase-Field Modeling," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 18(04), pages 536-545.
    6. Victor Sofonea & Robert F. Sekerka, 2005. "Diffusivity Of Two-Component Isothermal Finite Difference Lattice Boltzmann Models," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(07), pages 1075-1090.
    7. Santosh Ansumali & Shyam Sunder Chikatamarla & Christos Emmanouil Frouzakis & Konstantinos Boulouchos, 2004. "Entropic Lattice Boltzmann Simulation Of The Flow Past Square Cylinder," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 15(03), pages 435-445.
    8. Artur Cristea, 2006. "Numerical Effects In A Finite Difference Lattice Boltzmann Model For Liquid-Vapour Systems," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 17(08), pages 1191-1201.
    9. Sardar Bilal & Maryam Rehman & Samad Noeiaghdam & Hijaz Ahmad & Ali Akgül, 2021. "Numerical Analysis of Natural Convection Driven Flow of a Non-Newtonian Power-Law Fluid in a Trapezoidal Enclosure with a U-Shaped Constructal," Energies, MDPI, vol. 14(17), pages 1-17, August.
    10. Huang, Si-Min & Yang, Minlin, 2013. "Longitudinal fluid flow and heat transfer between an elliptical hollow fiber membrane tube bank used for air humidification," Applied Energy, Elsevier, vol. 112(C), pages 75-82.

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