Available online at www.sciencedirect.com
Chemical Engineering and Processing 47 (2008) 893–905
Numerical study of turbulent forced convection
in coiled flow inverter
Monisha Mridha, K.D.P. Nigam
∗
Department of Chemical Engineering, Indian Institute of Technology, Delhi, Hauz Khas, New Delhi 110016, India
Received 21 July 2006; received in revised form 8 February 2007; accepted 9 February 2007
Available online 3 March 2007
Abstract
A numerical study is done to investigate turbulent forced convection in a new device of coiled flow inverter. The proposed device works on
the technique based on flow inversion by changing the direction of centrifugal force in helically coiled tubes thus enabling rotation of the plane
of vortex. The objective of the present study is to characterize the flow development and temperature fields in coiled flow inverter (CFI) under
turbulent flow for the range of 10,000 < N
Re
< 30,000. The flow pattern obtained for the curved tubes are in agreement to those observed by the
previous investigators [1,2]. However, a slight rotation of contours was observed in case of helical coil with finite pitch. Similar rotation of contours
was found even with fluids of different Prandtl number (0.7 ≤ N
Pr
≤ 150) in helical coil with constant pitch. The study was also carried out for
different fluids (air, water, kerosene and ethylene glycol). The coiled flow inverter shows 4–13% enhancement in the heat transfer as compared
to the straight helical coil while relative pressure drop is 2–9%. The gain in heat transfer in coiled flow inverter for turbulent flow condition as
compared to the straight tube for same flow rate and boundary conditions is 35–45% while the increase in pressure drop is 29–30%.
© 2007 Elsevier B.V. All rights reserved.
Keywords: Coiled flow inverter; Computation; Heat transfer; Helical coil; Hydrodynamics; Turbulence
1. Introduction
Coiled tubes are commonly used in industries for heating and
cooling of process fluids due to their higher heat, mass transfer
rate and more transfer area per unit volume of space as compared
to straight tube. Dean [3,4] was the first to report the analytical
expression for flow fields to investigate the pressure driven lam-
inar flow in a curved pipe with circular cross section. Since then
a number of studies [5–23] has been carried out experimentally
and numerically to demonstrate the performance of the coiled
tubes over straight tubes. The extensive reviews of fluid flow
and heat transfer in helical pipes were reported by Berger et al.
[6] and Shah and Joshi [7]. Though most flows relevant to the
process industry are turbulent but the number of investigations
are limited. Table 1 shows the various studies carried out under
turbulent fluid flow in curved tubes [1,2,8–18,21–23].
Heat transfer in the coiled tubes can be further enhanced by
inserting some perturbation in the curved path. Literature shows
∗
Corresponding author. Tel.: +91 11 2659 1020/6178; fax: +91 11 2659 1020.
E-mail address: nigamkdp@gmail.com (K.D.P. Nigam).
that attempts have been made for enhancement of heat transfer
by modifying the regular helical coil. Chaotic coil was produced
by alternatively turning the axis of curved tubes with respect to
neighboring one in a periodic manner. Table 2 shows works
done by various researchers who have achieved enhanced heat
transfer by chaotic advection [24–30]. Saxena and Nigam [30]
introduced a new concept by inverting the axis of the helical
coil to 90
◦
. Multiple flow inversions were achieved at low flow
rates by changing the direction of centrifugal force in helically
coiled tubes. Under the conditions of negligible and significant
molecular diffusion, a significant narrowing of residence time
distribution (RTD) in laminar flow condition (10 < N
Re
< 200),
was observed in this device by Saxena and Nigam [30]. The RTD
of a chemical reactor or vessel is a description of the time that
different fluid elements spend inside the reactor. They reported
that the most effective narrowing of RTD was found for equally
spaced 90
◦
bends down the length of the tube. A 20-fold reduc-
tion in dispersion number as compared to a straight helical coil
was found for the device having 57 bends. Dispersion number
(= D/uL) is a dimensionless group that measures the extent of
axial dispersion. If dispersion number is negligible that means
the flow tends to become as a plug flow. Hence, the experimental
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doi:10.1016/j.cep.2007.02.026