Abstract
Flow patterns have a tendency to break the symmetry of an initial state of a system and form another spatiotemporal pattern when the system is driven far from equilibrium by temperature difference. For an annular channel, the axially symmetric flow becomes unstable beyond a given temperature difference threshold imposed in the system, leading to rotational oscillating waves. Many researchers have investigated this transition via linear stability analysis using the fundamental conservation equations and the generic model amplitude equation, i.e., the complex Ginzburg-Landau equation. Here, we present a quantitative study conducted of the thermal convection transition using thermodynamic analysis based on the maximum entropy production principle. Our analysis results reveal that the fluid system under nonequilibrium maximizes the entropy production induced by the thermodynamic flux in a direction perpendicular to the temperature difference. Further, we show that the thermodynamic flux as well as the entropy production can uniquely specify the thermodynamic states of the entire fluid system and propose an entropy production selection rule that can be used to specify the thermodynamic state of a nonequilibrium system.
Highlights
Evaluating the stability of nonequilibrium states and finding a transition point between two nonequilibrium states require the construction of governing equations and subsequent detailed and laborious analysis of the equations[1,2,3,4]
MEPP-based analysis has been extensively discussed for prediction of a transition point between two nonequilibrium states in complex systems; for example, those found in the configurational changes of crystal growth and the mode changes in droplet oscillation, which involves the two nonequilibrium processes interfering with each other, i.e., mass transfer and heat conduction, and mass transfer and viscous dissipation, respectively[6,7,11]
We evaluated the relationship between the flow patterns and entropy production via numerical simulation to develop an entropy production selection rule that can be used to specify the thermodynamic state of a nonequilibrium system
Summary
Flow patterns have a tendency to break the symmetry of an initial state of a system and form another spatiotemporal pattern when the system is driven far from equilibrium by temperature difference. We present a quantitative study conducted of the thermal convection transition using thermodynamic analysis based on the maximum entropy production principle. Our analysis results reveal that the fluid system under nonequilibrium maximizes the entropy production induced by the thermodynamic flux in a direction perpendicular to the temperature difference. We evaluated the relationship between the flow patterns and entropy production via numerical simulation to develop an entropy production selection rule that can be used to specify the thermodynamic state of a nonequilibrium system. In the case of an annular channel, the flow pattern is axially symmetric along the temperature gradient with an internal circulation This axially symmetric flow (ASF) becomes unstable beyond a given temperature difference threshold and subsequently symmetry-breaking flow, i.e., rotational oscillating waves, appears. |z,=be1c/aτu∫steoto+thτe (λ∇T )[2] dt, and thermodynamic the local thermodynamic force as variables vary spatiotemporally in
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
