1 Copyright © 2013 by ASME
Proceedings of the ASME 2013 Fluids Engineering Division Summer Meeting
FEDSM2013
July 7-11, 2013, Incline Village, Nevada, USA
FEDSM-16115
OPTIMIZED CHAOTIC HEAT EXCHANGER CONFIGURATIONS FOR PROCESS
INDUSTRY: A NUMERICAL STUDY
ABSTRACT
A numerical investigation of chaotic laminar flow and heat
transfer in isothermal-wall square-channel configurations is
presented. The computations, based on a finite-volume method
with the SIMPLEC algorithm, are conducted in terms of Péclet
numbers ranging from 7 to 7×10
5
. The geometries, based on the
split-and-recombine (SAR) principle, are first proposed for
micromixing purposes, and are then optimized and scaled up to
three-dimensional minichannels with 3-mm sides that are
capable of handling industrial fluid manipulation processes.
The aim is to assess the feasibility of this mass- and heat-
transfer technique for out-of-laboratory commercial
applications and to compare different configurations from a
process intensification point of view. The effects of the
geometry on heat transfer and flow characteristics are
examined. Results show that the flux recombination
phenomenon mimicking the baker’s transform in the SAR-1
and SAR-2 configurations produces chaotic structures and
promotes mass transfer. This phenomenon also accounts for
higher convective heat transfer exemplified by increased values
of the Nusselt number compared to the chaotic continuous-flow
configuration and the baseline plain square-duct geometry.
Energy expenditures are explored and the overall heat transfer
enhancement factor for equal pumping power is calculated. The
SAR-2 configuration reveals superior heat-transfer
characteristics, enhancing the global gain by up to 17-fold over
the plain duct heat exchanger.
KEYWORDS
Process intensification; mass and heat transfer
enhancement; chaotic advection; square channel; Split-And-
Recombine heat exchanger/reactor
NOMENCLATURE
D
h
channel hydraulic diameter (m)
f friction factor
h convective heat-transfer coefficient (W m
-2
K
-1
)
L channel developed length (m)
n number of splitting and recombination (SAR) steps
Nu Nusselt number
P Pressure (Pa)
Pe Péclet number
Pr Prandtl number
Re Reynolds number
T temperature (K)
u local velocity (m s
-1
)
volume-averaged velocity (m s
-1
)
U inlet velocity (m s
-1
)
Greek symbols
α fluid thermal diffusivity (m
2
s
-1
)
η thermal enhancement factor
κ fluid thermal conductivity (W m
-1
K
-1
)
ρ fluid density (kg m
-3
)
φ heat flux density (W m
-2
)
μ fluid dynamic viscosity (Pa s)
∆P pressure drop (Pa)
Subscripts
0 plain channel
b bulk value
x local value
w wall
u
Akram Ghanem
LUNAM Université, Laboratoire de Thermocinétique de
Nantes, CNRS UMR 6607, 44306 Nantes, France
Thierry Lemenand
LUNAM Université, Laboratoire de Thermocinétique de
Nantes, CNRS UMR 6607, 44306 Nantes, France
Dominique Della Valle
ONIRIS – Nantes
44322 Nantes, France
Hassan Peerhossaini
Univ. Paris Diderot, Sorbonne Paris Cité, Institut des
Energies de Demain (IED), 75013 Paris, France