Physics
Scientific paper
Jul 2009
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009njph...11g5028k&link_type=abstract
New Journal of Physics, Volume 11, Issue 7, pp. 075028 (2009).
Physics
Scientific paper
Rates of interfacial mass and heat transfer from uniaxial laminar flows through ducts at low Reynolds number follow the behaviour elucidated by Grætz: the local Sherwood (or Nusselt) number falls to an asymptotic value that is defined by the geometry and is independent of the Péclet number. In a previous study, we showed that analogous but distinct behaviour occurs in duct flows that exhibit Lagrangian chaos in the cross section due to spatially varying secondary flows: the Sherwood number follows the identical decay in the entrance region before passing to a Péclet-dependent value at larger axial distances; we called this behaviour, 'modified Grætz'. Here, we investigate the generality of this behaviour in chaotic and non-chaotic flows for transfer to moving interfaces and across internal interfaces between convectively disconnected sets in the flow. We present theoretical predictions of the transfer rates for these cases and verify the accuracy of these predictions with a tracer-based, numerical simulation. We also present a theoretical criterion for the modified Grætz behaviour in terms of the axial length associated with mixing and the axial length associated with the return of depleted fluid to the reactive interface; we exploit simulation to verify this criterion.
Kirtland Joseph D.
Siegel Corey R.
Stroock Abraham D.
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