Advertisement

Thermal Convection in a Cylindrical Enclosure with Wavy Sidewall

  • F. A. Sánchez CruzEmail author
  • S. Martínez Martínez
  • H. G. Ramírez Hernández
  • S. Méndez Díaz
Conference paper
Part of the Environmental Science and Engineering book series (ESE)

Abstract

An axisymmetric convection flow within a vertical cylindrical enclosure with adiabatic wavy sidewall was studied. Two important cases of thermal convection were considered, heating from below and heating from the top, while the wavy sidewall is adiabatic. An analytical coordinate transformation was used to obtain a coordinate frame for computation in which the irregular domain fits into a square. Non-dimensional parameters which include the cavity aspect ratio, dimensionless wavelength, dimensionless amplitude, constant Prandtl number equal to \(7\), and Rayleigh numbers between \(10^{3}\) and \(10^{6}\), were used to characterize the convection heat transfer through the cavity. Computational solutions showed that the wavy wall promotes thermal stratification and low velocity multiple cells patterns. The effect of the wavy wall was found to restrict the convection fluid flow which yields low heat transfer through the cavity.

Keywords

Heat Transfer Nusselt Number Rayleigh Number Thermal Convection Convection Cell 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgments

Authors would like to thank financial support from PAICyT-UANL through the Project IT 647-11.

References

  1. Adjlout L, Imine O, Azzi A, Belkadi M (2001) Laminar natural convection in an inclined cavity with a wavy wall. Int J Heat Mass Transf 45:2141–2152CrossRefGoogle Scholar
  2. Aounallah M, Addad Y, Benhamadouche S, Imine O, Adjlout L, Laurence D (2006) Numerical investigation of turbulent natural convection in an inclined square cavity with a hot wavy wall. Int J Heat Mass Transf 50:1683–1693CrossRefGoogle Scholar
  3. Ashjaee M, Amiri M, Rostami J (2007) A correlation for free convection heat transfer from vertical wavy surfaces. Heat Mass Transf 44:101–111CrossRefGoogle Scholar
  4. Dalal A, Das MK (2004) Laminar natural convection in an inclined complicated cavity with spatially variable wall temperature. Int J Heat Mass Transf 48:3833–3854CrossRefGoogle Scholar
  5. Dalal A, Das MK (2006) Natural convection in a cavity with a wavy wall heated from below and uniformly cooled from the top and both sides. J Heat Transf 128:717–725CrossRefGoogle Scholar
  6. Elgazery NS, Abd NY (2009) The effects of variable properties on MHD unsteady natural convection heat and mass transfer over a vertical wavy surface. Mecanica 44:573–586CrossRefGoogle Scholar
  7. Hossain MA, Rees DAS (1999) Combined heat and mass transfer in natural convection flow from a vertical wavy surface. Acta Mech 136:133–141CrossRefGoogle Scholar
  8. Martynenko OG, Khramtsov PP (2005) Free-convective heat transfer. Springer, The NetherlandsGoogle Scholar
  9. Misirlioglu A, Baytas AC, Pop I (1999) Natural convection inside an inclined wavy enclosure filled with a porous media. Trans Porous Media 64:229–246CrossRefGoogle Scholar
  10. Molla M, Hossain A, Yao LS (2007) Natural-convection flow along a vertical complex wavy surface with uniform heat flux. J Heat Transf 129:1403–1407CrossRefGoogle Scholar
  11. Rathish Kumar BV, Murthy K (2010) Soret and Dufour effects on double-diffusive free convection from a corrugated vertical surface in a non-darcy porous medium. Transp Porous Media 85:117–130CrossRefGoogle Scholar
  12. Rostami J (1999) Unsteady natural convection in an enclosure with vertical wavy walls. Heat Mass Transf 44:1079–1087CrossRefGoogle Scholar
  13. Tashtoush B, Abu-Irshaid E (2001) Heat and fluid flow from a wavy surface subjected to a variable heat flux. Acta Mech 152:1–8CrossRefGoogle Scholar
  14. Woollard HF, Billingham J, Jensen OE, Lian G (2008) A multi-scale model for solute transport in a wavy-walled channel. J Eng Math 64:25–48CrossRefGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • F. A. Sánchez Cruz
    • 1
    Email author
  • S. Martínez Martínez
    • 1
  • H. G. Ramírez Hernández
    • 1
  • S. Méndez Díaz
    • 1
  1. 1.Facultad de Ingeniería Mecánica y EléctricaUniversidad Autónoma de Nuevo LeónSan Nicolás de los GarzaMéxico

Personalised recommendations