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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
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
Liaqat A, Baytas A (2001) Conjugate natural convection in a square enclosure containing volumetric sources. Int J Heat Mass Transf 44:3273–3280
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
Mobedi M (2008) Conjugate natural convection in a square cavity with finite thickness horizontal walls. Int Commun Heat Mass Transf 35(4):503–513
Patankar S (1980) Numerical heat transfer and fluid flow. Hemisphere Publishing Corporation,Washington
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
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
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
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
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
Download citation
DOI: https://doi.org/10.1007/978-3-642-27723-8_27
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-27722-1
Online ISBN: 978-3-642-27723-8
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)