Version 1
: Received: 14 August 2024 / Approved: 15 August 2024 / Online: 15 August 2024 (15:08:27 CEST)
How to cite:
Ban, T.; Fujiwara, R.; Shigeta, K. Analyzing Hydrothermal Waves Transitions through Rotational Field Application Based on Entropy Production. Preprints2024, 2024081133. https://doi.org/10.20944/preprints202408.1133.v1
Ban, T.; Fujiwara, R.; Shigeta, K. Analyzing Hydrothermal Waves Transitions through Rotational Field Application Based on Entropy Production. Preprints 2024, 2024081133. https://doi.org/10.20944/preprints202408.1133.v1
Ban, T.; Fujiwara, R.; Shigeta, K. Analyzing Hydrothermal Waves Transitions through Rotational Field Application Based on Entropy Production. Preprints2024, 2024081133. https://doi.org/10.20944/preprints202408.1133.v1
APA Style
Ban, T., Fujiwara, R., & Shigeta, K. (2024). Analyzing Hydrothermal Waves Transitions through Rotational Field Application Based on Entropy Production. Preprints. https://doi.org/10.20944/preprints202408.1133.v1
Chicago/Turabian Style
Ban, T., Ryo Fujiwara and Keigo Shigeta. 2024 "Analyzing Hydrothermal Waves Transitions through Rotational Field Application Based on Entropy Production" Preprints. https://doi.org/10.20944/preprints202408.1133.v1
Abstract
In this study, we evaluate the nonlinear dynamics of convection flow using the thermodynamic variational principle, focusing on scenarios where multiple external forces, such as a thermal gradient and rotational field, are applied to a shallow annular pool. We observed that with the increase in the thermal gradient, the flow changed from an axial flow to a rotational oscillatory flow with the wave amplitudes aligned. Further increasing the temperature difference led to a rotational oscillatory flow characterized by alternating wave generation and annihilation. Our analysis of the flow, considering heat fluxes orthogonal to the thermal gradient, allowed us to describe the flow state as a phase at equilibrium. The state transition of the flow was accompanied by a discontinuous jump in the heat flux, which occurred at the intersection of the entropy production curves.
Keywords
nonlinear dynamics; thermal convection; entropy production; variational principle; rotational field
Subject
Physical Sciences, Thermodynamics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.