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Article

Instability of Vertical Throughflows in Bidisperse Porous Media

by
Florinda Capone
* and
Roberta De Luca
Department of Mathematics and Applications “R. Caccioppoli”, University of Naples Federico II, 80126 Napoli, Italy
*
Author to whom correspondence should be addressed.
Physics 2021, 3(4), 821-828; https://doi.org/10.3390/physics3040052
Submission received: 24 June 2021 / Revised: 23 August 2021 / Accepted: 26 August 2021 / Published: 23 September 2021
(This article belongs to the Special Issue Physics in Engineering: A Themed Issue in Honour of Professor Peter Vadasz on the Occasion of His 70th Birthday)
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Abstract

In this paper, the instability of a vertical fluid motion, or throughflow, is investigated in a horizontal bidisperse porous layer that is uniformly heated from below. By means of the order-1 Galerkin approximation method, the critical Darcy–Rayleigh number for the onset of steady instability is determined in closed form. The coincidence between the linear instability threshold and the global nonlinear stability threshold, in the energy norm, is shown.
Keywords: bidisperse porous media; vertical constant throughflows; steady instability bidisperse porous media; vertical constant throughflows; steady instability

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MDPI and ACS Style

Capone, F.; De Luca, R. Instability of Vertical Throughflows in Bidisperse Porous Media. Physics 2021, 3, 821-828. https://doi.org/10.3390/physics3040052

AMA Style

Capone F, De Luca R. Instability of Vertical Throughflows in Bidisperse Porous Media. Physics. 2021; 3(4):821-828. https://doi.org/10.3390/physics3040052

Chicago/Turabian Style

Capone, Florinda, and Roberta De Luca. 2021. "Instability of Vertical Throughflows in Bidisperse Porous Media" Physics 3, no. 4: 821-828. https://doi.org/10.3390/physics3040052

APA Style

Capone, F., & De Luca, R. (2021). Instability of Vertical Throughflows in Bidisperse Porous Media. Physics, 3(4), 821-828. https://doi.org/10.3390/physics3040052

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