Buoyant flow instability induced by a uniform internal heat source in a vertical annular porous layer

A. Barletta, D. A.S. Rees, B. Pulvirenti

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4 Citations (SciVal)


The buoyancy–induced parallel flow in a vertical cylindrical porous layer with annular cross–section is analysed. A radial thermal gradient caused by a uniformly distributed heat source is assumed to induce the buoyant flow. The layer boundaries are modelled as isothermal and permeable to an external fluid reservoir. The onset of the convective instability is analysed by linearising the governing equations for the perturbations. The governing parameters driving the instability are the heat–source Rayleigh number and the ratio between the internal radius and the external radius. Neutral stability curves and the critical values of the Rayleigh number, the perturbation wave number and the angular frequency are computed numerically. It is shown that axisymmetric modes form the most dangerous type of instability.

Original languageEnglish
Article number122935
JournalInternational Journal of Heat and Mass Transfer
Early online date10 May 2022
Publication statusPublished - 15 Sept 2022

Bibliographical note

Funding Information:
The authors A. Barletta and B. Pulvirenti acknowledge the financial support from the grant PRIN 2017F7KZWS provided by the Italian Ministry of Education and Scientific Research.


  • Cylindrical layer
  • Internal heating
  • Linear stability
  • Natural convection
  • Normal modes
  • Porous medium
  • Vertical buoyant flow

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes


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