A weakly nonlinear analysis of the effect of vertical throughflow on Darcy-Bénard convection

F. Capone, J. A. Gianfrani, G. Massa, D. A.S. Rees

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13 Citations (SciVal)

Abstract

The aim of this paper is to analyze the effect of a downward vertical net mass flow on the type of instability that occurs in a horizontal fluid-saturated porous layer that is heated from below. The strength of the downflow is modelled by Pe, the Péclet number. First, we prove the validity of the principle of exchange of stabilities; consequently, we perform a linear instability analysis of the basic steady flow to determine the critical Darcy-Rayleigh number for the onset of steady convective instability as a function of Pe. Then, a weakly nonlinear stability analysis is performed to determine the smallest value of the Péclet number for which the onset of convection corresponds to a subcritical instability.

Original languageEnglish
Article number014107
Number of pages10
JournalPhysics of Fluids
Volume35
Issue number1
Early online date11 Jan 2023
DOIs
Publication statusPublished - 1 Feb 2023

ASJC Scopus subject areas

  • Computational Mechanics
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

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