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OSCILLATORY THERMAL CONVECTION IN A HORIZONTAL ANNULUS  

Yoo Joo-Sik (안동대학교 기계교육과)
Publication Information
Journal of computational fluids engineering / v.11, no.2, 2006 , pp. 49-55 More about this Journal
Abstract
This study investigates the oscillatory thermal convection of a fluid with Pr=0.02 in a wide-gap horizontal annulus with constant heat flux inner wall. When Pr=0.02, dual steady-state flows are not found. After the first Hopf bifurcation from a steady to a time-periodic flow, five successive period-doubling bifurcations are recorded before chaos. The power spectrum shows the $period-2^4\;and\;2^5$ flows clearly, and a window of period $3{\times}2^3$ flow is found in the chaotic regime. The approximate value of the Feigenbaum number for the last three period-doubling bifurcations is 4.76. The transition route to chaos of the present simulations is consistent with the period-doubling route of Feigenbaum.
Keywords
Oscillatory Thermal Convection; Period-Doubling Bifurcation; Periodic Flow; Chaotic Flow;
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