Global stability for penetrative convection with throughflow in a porous material |
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| Authors: | Hill, A. A. Rionero, S. Straughan, B. |
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| Affiliation: | Department of Mathematical Sciences, Durham University, South Road, Durham, DH1 3LE, UK |
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| Abstract: | This paper investigates penetrative convection in a layer ofporous material saturated with water when there is throughflowpresent. The density is quadratic in temperature. A linearizedinstability analysis is derived and compared with a weightednon-linear energy stability analysis. A weighted analysis isnecessary to achieve a global non-linear stability threshold.Parameter ranges are found where the linear instability boundaryis close to the non-linear stability one. |
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| Keywords: | energy method throughflow penetrative convection. |
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