An explanation to the Nusselt-Rayleigh discrepancy in naturally convected porous media

This is a Preprint and has not been peer reviewed. This is version 2 of this Preprint.

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Authors

Po-Wei Huang, Florian Wellmann 

Abstract

We model hydrothermal convection using a partial differential equation formed by Darcy velocity and temperature - the velocity formulation. Using the Elder problem as a benchmark, we found that the velocity formulation is a valid model of hydrothermal convection. By performing simulations with Rayleigh numbers in the non-oscillatory regime, we show that multiple quasi-steady-state solutions can be one of the reasons that caused the Nusselt-Rayleigh discrepancy found in previous experiments. The results reveal more understandings about the nature of uncertainty of convection modes in porous media.

DOI

https://doi.org/10.31223/X5KK5F

Subjects

Engineering, Physical Sciences and Mathematics

Keywords

Natural Convection, Entropy Production, Basin Stability Analysis

Dates

Published: 2020-10-22 09:56

Last Updated: 2020-10-22 16:54

License

CC BY Attribution 4.0 International

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