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An explanation to the Nusselt-Rayleigh discrepancy in naturally convected porous media
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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 15:26
Last Updated: 2021-04-01 04:15
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