Dynamics and scaling of internally cooled convection

Agasthya LN, Muller CJ. 2024. Dynamics and scaling of internally cooled convection. Communications in Nonlinear Science and Numerical Simulation. 134, 108011.

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Abstract
Our goal is to investigate fundamental properties of the system of internally cooled convection. The system consists of an upward thermal flux at the lower boundary, a mean temperature lapse-rate and a constant cooling term in the bulk with the bulk cooling in thermal equilibrium with the input heat flux. This simple model represents idealised dry convection in the atmospheric boundary layer, where the cooling mimics the radiative cooling to space notably through longwave radiation. We perform linear stability analysis of the model for different values of the mean stratification to derive the critical forcing above which the fluid is convectively unstable to small perturbations. The dynamic behavior of the fluid system is described and the scaling of various important measured quantities such as the total vertical convective heat flux and the upward mass flux is measured. We introduce a lapse-rate dependent dimensionless Rayleigh-number Ray that determines the behavior of the system, finding that the convective heat-flux and mass-flux scale approximately as Ray0.5 and Ray0.7 respectively. The area-fraction of the domain that is occupied by upward and downward moving fluid and the skewness of the vertical velocity are studied to understand the asymmetry inherent in the system. We conclude with a short discussion on the relevance to atmospheric convection and the scope for further investigations of atmospheric convection using similar simplified approaches.
Publishing Year
Date Published
2024-04-04
Journal Title
Communications in Nonlinear Science and Numerical Simulation
Acknowledgement
This project has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska–Curie grant agreement No. 101034413. CM gratefully acknowledges funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (Project CLUSTER, Grant Agreement No. 805041). This research was supported by the Scientific Service Units (SSU) of IST Austria through resources provided by Scientific Computing (SciComp).
Acknowledged SSUs
Volume
134
Article Number
108011
ISSN
IST-REx-ID

Cite this

Agasthya LN, Muller CJ. Dynamics and scaling of internally cooled convection. Communications in Nonlinear Science and Numerical Simulation. 2024;134. doi:10.1016/j.cnsns.2024.108011
Agasthya, L. N., & Muller, C. J. (2024). Dynamics and scaling of internally cooled convection. Communications in Nonlinear Science and Numerical Simulation. Elsevier. https://doi.org/10.1016/j.cnsns.2024.108011
Agasthya, Lokahith N, and Caroline J Muller. “Dynamics and Scaling of Internally Cooled Convection.” Communications in Nonlinear Science and Numerical Simulation. Elsevier, 2024. https://doi.org/10.1016/j.cnsns.2024.108011.
L. N. Agasthya and C. J. Muller, “Dynamics and scaling of internally cooled convection,” Communications in Nonlinear Science and Numerical Simulation, vol. 134. Elsevier, 2024.
Agasthya LN, Muller CJ. 2024. Dynamics and scaling of internally cooled convection. Communications in Nonlinear Science and Numerical Simulation. 134, 108011.
Agasthya, Lokahith N., and Caroline J. Muller. “Dynamics and Scaling of Internally Cooled Convection.” Communications in Nonlinear Science and Numerical Simulation, vol. 134, 108011, Elsevier, 2024, doi:10.1016/j.cnsns.2024.108011.
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