Abstract
The relation between the chaotic nature of the advection flow field and
heat transfer in laminar flow heat exchangers is known to be subtle. We
use the Perron-Frobenius transfer operator approach to analyze thermal
transport in a coiled tube with 3D laminar flow and Dirichlet thermal
boundary condition. The usual advection-only transfer operator is
combined with a finite-difference diffusion operator via an
operator-splitting technique. We compute various coherent sets of this
approximate advection-diffusion operator. These coherent sets correspond
to the important ``thermal structures'' which govern the heat transfer
in this problem. This analysis gives an insight into the effect of
chaotic advection field on the heat transfer performance of such
devices. We study the dependence of heat transfer enhancement factor on
Peclet number.This transfer operator based analysis could lead to
systematic geometric optimization of micrometer sized heat exchangers.
Original language | English |
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Journal | APS Division of Fluid Dynamics (Fall) 2013 |
Publication status | Published - 1 Nov 2013 |