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ISSN Online: 2377-424X

International Heat Transfer Conference 12
August, 18-23, 2002, Grenoble, France

Chaotic mixing and heat transfer in time-periodic 3-D Stokes flows

Get access (open in a dialog) DOI: 10.1615/IHTC12.110
6 pages

Résumé

A quantitative analysis of chaotic mixing and heat transfer in 3-D non-inertial periodic flows is presented. The conservation equations are solved numerically, with temperature as a passive scalar, at high Peclet number where the effects of chaotic advection are most pronounced. It is shown that when the heat transfer problem is correctly formulated, the standard deviation of the temperature distribution is an appropriate measure of mixing affectiveness and can be employed to optimize the mixing protocol. Using the 3-D eccentric elliptical annular mixer as a prototype it is shown that, as for the 2-D case, when the boundary displacement protocol is sinusoidal in time an optimum modulation frequency for which mixing is best exists. The use of other analytical tools, such as stretching calculations and tracer tracking simulations, confirms that the optimization of the boundary displacement protocol based on heat transfer data results in very effective mixing.