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- W2782100054 abstract "High-Rayleigh-number ( $Ra$ ) convection in an inclined two-dimensional porous layer is investigated using direct numerical simulations (DNS) and stability and variational upper-bound analyses. When the inclination angle $unicode[STIX]{x1D719}$ of the layer satisfies $0^{circ }<unicode[STIX]{x1D719}lesssim 25^{circ }$ , DNS confirm that the flow exhibits a three-region wall-normal asymptotic structure in accord with the strictly horizontal ( $unicode[STIX]{x1D719}=0^{circ }$ ) case, except that as $unicode[STIX]{x1D719}$ is increased the time-mean spacing between neighbouring interior plumes also increases substantially. Both DNS and upper-bound analysis indicate that the heat transport enhancement factor (i.e. the Nusselt number) $Nusim CRa$ with a $unicode[STIX]{x1D719}$ -dependent prefactor $C$ . When $unicode[STIX]{x1D719}>unicode[STIX]{x1D719}_{t}$ , however, where $30^{circ }<unicode[STIX]{x1D719}_{t}<32^{circ }$ independently of $Ra$ , the columnar flow structure is completely broken down: the flow transitions to a large-scale travelling-wave convective roll state, and the heat transport is significantly reduced. To better understand the physics of inclined porous medium convection at large $Ra$ and modest inclination angles, a spatial Floquet analysis is performed, yielding predictions of the linear stability of numerically computed, fully nonlinear steady convective states. The results show that there exist two types of instability when $unicode[STIX]{x1D719}neq 0^{circ }$ : a bulk-mode instability and a wall-mode instability, consistent with previous findings for $unicode[STIX]{x1D719}=0^{circ }$ (Wen et al. , J. Fluid Mech. , vol. 772, 2015, pp. 197–224). The background flow induced by the inclination of the layer intensifies the bulk-mode instability during its subsequent nonlinear evolution, thereby favouring increased spacing between the interior plumes relative to that observed in convection in a horizontal porous layer." @default.
- W2782100054 created "2018-01-12" @default.
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- W2782100054 date "2018-01-05" @default.
- W2782100054 modified "2023-09-25" @default.
- W2782100054 title "Inclined porous medium convection at large Rayleigh number" @default.
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- W2782100054 doi "https://doi.org/10.1017/jfm.2017.863" @default.
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