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Article

Analogy between Thermodynamic Phase Transitions and Creeping Flows in Rectangular Cavities

Department of Physics, Cleveland State University, 2121 Euclid Avenue, Cleveland, OH 44115, USA
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Symmetry 2020, 12(11), 1859; https://doi.org/10.3390/sym12111859
Received: 9 October 2020 / Revised: 27 October 2020 / Accepted: 7 November 2020 / Published: 12 November 2020
An analogy is found between the streamline function corresponding to Stokes flows in rectangular cavities and the thermodynamics of phase transitions and critical points. In a rectangular cavity flow, with no-slip boundary conditions at the walls, the corners are fixed points. The corners defined by a stationary and a moving wall, are found to be analogous to a thermodynamic first-order transition point. In contrast, the corners defined by two stationary walls correspond to thermodynamic critical points. Here, flow structures, also known as Moffatt eddies, form and act as stagnation regions where mixing is impeded. A third stationary point occurs in the middle region of the channel and it is analogous to a high temperature thermodynamic fixed point. The numerical results of the fluid flow modeling are correlated with analytical work in the proximity of the fixed points. View Full-Text
Keywords: cavity flow; streamline function singularities; stokes creeping flow cavity flow; streamline function singularities; stokes creeping flow
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MDPI and ACS Style

Kaufman, M.; Fodor, P.S. Analogy between Thermodynamic Phase Transitions and Creeping Flows in Rectangular Cavities. Symmetry 2020, 12, 1859. https://doi.org/10.3390/sym12111859

AMA Style

Kaufman M, Fodor PS. Analogy between Thermodynamic Phase Transitions and Creeping Flows in Rectangular Cavities. Symmetry. 2020; 12(11):1859. https://doi.org/10.3390/sym12111859

Chicago/Turabian Style

Kaufman, Miron, and Petru S. Fodor 2020. "Analogy between Thermodynamic Phase Transitions and Creeping Flows in Rectangular Cavities" Symmetry 12, no. 11: 1859. https://doi.org/10.3390/sym12111859

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