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CHAOTIC NATURAL CONVECTION IN AN ANNULAR CAVITY WITH NON-ISOTHERMAL WALLS

H.E. Dillon, A.F. Emery, A.M. Mescher, O. Sprenger, S.R. Edwards

University of Washington, Seattle, WA, 91805, US
† Corresponding author. Email: emery@u.washington.edu

Frontiers in Heat and Mass Transfer 2011, 2(2), 1-14. https://doi.org/10.5098/hmt.v2.2.3002

Abstract

The stability of free convection in an annulus is governed by the boundary conditions on the inner and outer walls of the annulus and the upper and lower boundaries. This paper explores the effect of free convection on the inner surface of the annulus, where the boundary conditions for the outer wall and the upper and lower boundaries are controlled. The temperature is measured in the center of the air cavity and just below the surface of the inner annular boundary. Experimental results are shown for a radius ratio of 0.40, aspect ratio of 20.7. These more recent experimental results are compared to prior work for a radius ratio of 0.60, aspect ratio of 31.0. The results indicate that as the Rayleigh number is increased, the flow experiences a transition from steady flow to a very regular oscillatory flow, and then a supercritical Hopf bifurcation as the flow finally transitions to chaotic behavior. Proper orthogonal decomposition analysis is presented as a method for quantifying the complex dynamic behavior of the system.

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APA Style
Dillon, H., Emery, A., Mescher, A., Sprenger, O., Edwards, S. (2011). CHAOTIC NATURAL CONVECTION IN AN ANNULAR CAVITY WITH NON-ISOTHERMAL WALLS. Frontiers in Heat and Mass Transfer, 2(2), 1-14. https://doi.org/10.5098/hmt.v2.2.3002
Vancouver Style
Dillon H, Emery A, Mescher A, Sprenger O, Edwards S. CHAOTIC NATURAL CONVECTION IN AN ANNULAR CAVITY WITH NON-ISOTHERMAL WALLS. Front Heat Mass Transf. 2011;2(2):1-14 https://doi.org/10.5098/hmt.v2.2.3002
IEEE Style
H. Dillon, A. Emery, A. Mescher, O. Sprenger, and S. Edwards "CHAOTIC NATURAL CONVECTION IN AN ANNULAR CAVITY WITH NON-ISOTHERMAL WALLS," Front. Heat Mass Transf., vol. 2, no. 2, pp. 1-14. 2011. https://doi.org/10.5098/hmt.v2.2.3002



cc This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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