Via the Rionero approach the onset of convection in rotating porous layers in the presence of inertia is investigated. The effects of rotation and inertia are respectively measured through the Taylor number T and adasz number V. For the tridimensional perturbations and the full nonlinear problem, it is shown that: i) exists a critical Taylor number (≈3.80) below which the inertia has no effect on the onset of convection; ii) for T greater then the critical value exists an associate critical Vadasz below which the inertia has effect on the onset of convection, and only in this case the convection arises via an oscillatory motion (overstable convection); iii) do not exist subcritical instabilities; iv) the global nonlinear stability is guaranteed by the linear stability.
Inertia effect on the onset of convection in rotating porous layers via the Rionero approach / Capone, Florinda. - (2013). (Intervento presentato al convegno XVII International Conference on Waves and Stability in Continuous Media tenutosi a Levico (TN) nel June 17-21, 2013).
Inertia effect on the onset of convection in rotating porous layers via the Rionero approach
CAPONE, FLORINDA
2013
Abstract
Via the Rionero approach the onset of convection in rotating porous layers in the presence of inertia is investigated. The effects of rotation and inertia are respectively measured through the Taylor number T and adasz number V. For the tridimensional perturbations and the full nonlinear problem, it is shown that: i) exists a critical Taylor number (≈3.80) below which the inertia has no effect on the onset of convection; ii) for T greater then the critical value exists an associate critical Vadasz below which the inertia has effect on the onset of convection, and only in this case the convection arises via an oscillatory motion (overstable convection); iii) do not exist subcritical instabilities; iv) the global nonlinear stability is guaranteed by the linear stability.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.