Heather Dillona
, Ashley Emeryb,†
, Ann Mescherb
Frontiers in Heat and Mass Transfer, Vol.4, No.2, pp. 1-9, 2013, DOI:10.5098/hmt.v4.2.3004
Abstract A computational model is presented that extends prior work on unsteady natural convection in a tall rectangular cavity with aspect ratio 10 and
applies Proper Orthogonal Decomposition to the results. The solution to the weakly compressible Navier-Stokes equation is computed for a range of
Rayleigh numbers between 2 × 107
and 2.2 × 108 with Prandtl number 0.71. A detailed spectral analysis shows dynamic system behavior beyond
the Hopf bifurcation that was not previously observed. The wider Rayleigh range reveals new dynamic system behavior for the rectangular geometry,
specifically a return to a stable oscillatory behavior that was not predicted… More >
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