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)


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.


Heat Transfer Nusselt Number Rayleigh Number Thermal Convection Convection Cell 
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Authors would like to thank financial support from PAICyT-UANL through the Project IT 647-11.


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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

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