The aim of this paper is to analyse the onset of convective instability in a plane porous channel inclined to the horizontal. A net upslope or downslope flow is considered, so that mixed convection takes place as caused by the uniform and symmetric heat fluxes prescribed on the impermeable bounding walls. The thermoconvective instability of the basic flow is studied versus small-amplitude wavelike per- turbations. The hybrid analytical-numerical technique adopted in this paper, in order to track and illustrate the parametric changes of neutral stability curves, is Galerkin’s method of weighted resid- uals. Numerical values at significant points on the neutral stability curves are obtained by employing an accurate Runge-Kutta solver combined with the shooting method.

Unstable mixed convection in an inclined porous channel with uniform wall heat flux

BARLETTA, ANTONIO;CELLI, MICHELE
2014

Abstract

The aim of this paper is to analyse the onset of convective instability in a plane porous channel inclined to the horizontal. A net upslope or downslope flow is considered, so that mixed convection takes place as caused by the uniform and symmetric heat fluxes prescribed on the impermeable bounding walls. The thermoconvective instability of the basic flow is studied versus small-amplitude wavelike per- turbations. The hybrid analytical-numerical technique adopted in this paper, in order to track and illustrate the parametric changes of neutral stability curves, is Galerkin’s method of weighted resid- uals. Numerical values at significant points on the neutral stability curves are obtained by employing an accurate Runge-Kutta solver combined with the shooting method.
ICCM2014 - 28-30th July, Cambridge, England
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A. Barletta; M. Celli
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/380840
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