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• W2051240948 abstract "The onset of Rayleigh–Bénard convection in a finite circular porous cylinder with vertical axis is investigated analytically. The cylinder is heated from below, and its top and bottom are assumed impermeable and perfectly heat-conducting. The impermeable sidewall of the cylinder is assumed to be heat-conducting so that the temperature perturbation there is zero. The eigenvalue problem is split into two different Helmholtz equations. The resulting eigenmode is expressed in terms of Bessel functions. The preferred mode at the onset of convection is found to be axisymmetric. The critical Rayleigh number is a smooth function of the aspect ratio of the cylinder, in contrast to the standard case of an insulating sidewall." @default.
• W2051240948 created "2016-06-24" @default.
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• W2051240948 date "2003-08-05" @default.
• W2051240948 modified "2023-10-18" @default.
• W2051240948 title "Onset of thermal convection in a vertical porous cylinder with conducting wall" @default.
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• W2051240948 doi "https://doi.org/10.1063/1.1597452" @default.
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