Gentile, M. and Straughan, B. (2017) 'Bidispersive vertical convection.', Proceedings of the Royal Society A., 473 (2207). p. 20170481.
A bidispersive porous material is one which has usual pores but additionally contains a system of micro pores. We consider a fluid-saturated bidispersive porous medium in the vertical layer x ∈ (−1/2, 1/2) with gravity in the −z (downward) direction. The walls of the layer are maintained at different constant temperatures. A suitable Rayleigh number is defined and we derive a global stability threshold below which no instability may arise. We additionally show that the porous layer is stable for all Rayleigh numbers provided the initial temperature gradient is bounded in a precise sense.
|Full text:||(AM) Accepted Manuscript|
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|Publisher Web site:||https://doi.org/10.1098/rspa.2017.0481|
|Date accepted:||29 September 2017|
|Date deposited:||07 March 2018|
|Date of first online publication:||01 November 2017|
|Date first made open access:||07 March 2018|
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