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Natural Convection and Entropy Generation in a Large Aspect Ratio Cavity with Walls of Finite Thickness

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Book cover Fluid Dynamics in Physics, Engineering and Environmental Applications

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Abstract

In this work we study the heat transfer and fluid flow process in a vertical cavity of large aspect ratio, \(AR=12\), with walls of finite thickness, heated from two portions localized in the side walls of the cavity near the bottom. The equations of motion are written in non-dimensional form, depending of four non dimensional parameters (the Rayleigh number, the Prandtl number, the ratio of thermal diffusivities of the fluid and the material of the cavity and the non-dimensional width of the walls) and are solved numerically by the use of the SIMPLE algorithm. Calculations are performed for three different values of the Rayleigh number.

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References

  • Kim D, Viskanta R (1985) Effect of wall heat conduction on natural convection heat transfer in a square enclosure. J Heat Transf 107(1):139–146

    Google Scholar 

  • Liaqat A, Baytas A (2001) Conjugate natural convection in a square enclosure containing volumetric sources. Int J Heat Mass Transf 44:3273–3280

    Google Scholar 

  • Martínez-Suástegui L, Treviño C (2008) Transient laminar opposing mixed convection in a differentially and asymmetrically heated vertical channel of finite length. Heat Mass Transf 51:5991–6005

    Google Scholar 

  • Mobedi M (2008) Conjugate natural convection in a square cavity with finite thickness horizontal walls. Int Commun Heat Mass Transf 35(4):503–513

    Google Scholar 

  • Patankar S (1980) Numerical heat transfer and fluid flow. Hemisphere Publishing Corporation,Washington

    Google Scholar 

  • Varol Y, Oztop H, Koca A (2008) Entropy generation due to conjugate natural convection in enclosures bounded by vertical solid walls with different thicknesses. Int Commun Heat Mass Transf 35(5):648–656

    Google Scholar 

  • Varol Y, Oztop H, Pop I (2009) Entropy analysis due to conjugate-buoyant flow in a right-angle trapezoidal enclosure filled with a porous medium bounded by a solid vertical wall. Int J Therm Sci 48(6):1161–1175

    Google Scholar 

  • Zhang W, Zhang C, Xi G (2011) Conjugate conduction-natural convection in an enclosure with time-periodic sidewall temperature and inclination. Int J Heat Fluid Flow 32(1):52–64

    Google Scholar 

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Correspondence to D. Pastrana .

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Pastrana, D., Cajas, J.C., Treviño, C. (2013). Natural Convection and Entropy Generation in a Large Aspect Ratio Cavity with Walls of Finite Thickness. In: Klapp, J., Medina, A., Cros, A., Vargas, C. (eds) Fluid Dynamics in Physics, Engineering and Environmental Applications. Environmental Science and Engineering(). Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27723-8_27

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