Applied Thermal Engineering 182 (2021) 116087
Available online 1 October 2020
1359-4311/© 2020 Elsevier Ltd. All rights reserved.
Instability mitigation by integrating twin Tesla type valves in supercritical
carbon dioxide based natural circulation loop
Tabish Wahidi, Ajay Kumar Yadav
*
Advanced Heat Transfer Laboratory, Department of Mechanical Engineering, National Institute of Technology Karnataka, Surathkal, Mangalore 575025, India
A R T I C L E INFO
Keywords:
Tesla valve
Supercritical CO
2
Single-phase
Instability
Rectangular natural circulation Loop
Flow transition
ABSTRACT
Flow instability in supercritical fuid based natural circulation loop (NCL) is still an investigation aspect of
physical and mathematical problems to comprehend. Therefore, NCLs require precise design assessment that
focuses on the interaction of all the transient responses of buoyancy and friction forces which can ensure a stable
zone of operation. To promote the uni-directional circulatory movement of loop fuid and to decrease the
magnitude of instability, this research emphasizes the development of NCL integrated with two modifed Tesla
type valves. In this article, numerical simulations have been carried out for a range of supercritical pressures
(80–100 bar) and heat inputs (500–2000 W) to do the comparative investigation of instability phenomenon in
supercritical carbon dioxide based regular natural circulation loop and a new modifed twin Tesla NCL. Results
show that the use of modifed Tesla valves leads to better stabilization for all supercritical pressures and heat
inputs considered in the study. It is also found that the proposed Tesla NCL mitigates the temperature and ve-
locity oscillations with a marginal drop of ⩽3% in the heat transfer performance. Using asymmetrical fow
resistance to stimulate directional circulation is an effcient technique to combat this instability issue. Obtained
results are validated with the existing correlations, and a good agreement is obtained.
1. Introduction
Natural convection loop (NCL) is a passive heat transfer device in
which fuid fow in the system is driven by favourable density gradient
caused by differential thermal expansion of working fuid. Due to simple
geometry and passive operation compared to the loops with aided cir-
culation (i.e. forced circulation), NCL enhances the level of intrinsic
safety and provides an inherent beneft in terms of price, loop reliability,
maintenance and can be inherent in many applications like solar heater
[1], geothermal process [2], turbine blades cooling [3], electronic
components cooling [4,5], and nuclear reactor cooling systems [6,7].
Environmental pollution due to energy demand is an appealing
aspect for the researcher to expand their investigation not only to
enhance the energy effciency of the system but also to fnd eco-friendly
energy resource. Environmental benign nature of CO
2
(Global warming
potential = 1 and Ozone depletion potential = 0) made it one of the most
popular secondary fuid in recent years, and its use in various heating/
cooling systems reduces the amount of greenhouse gases in the atmo-
sphere. The admirable thermophysical properties of CO
2
as working
fuid offers a compelling alternative, so that it can be used in the process
of deposition and preparation of materials [8,9] nuclear reactor appli-
cations [10], chemical extraction [11], refrigeration [12,13], and for the
heat pump systems [14]. When CO
2
operates above a temperature of
304.25 K and pressure of 7.37 MPa, it attains a supercritical fuid state.
For water or other fuids, where at high-temperature, a phase change
occurs, and the fow becomes abrupt, in that situation where phase
change is to be avoided supercritical fuid can serve as a feasible alter-
native. Research indicates that supercritical CO
2
based NCLs (scCO
2
-
NCLs) have higher effciency in a compact design than other working
fuid [15,16]. scCO
2
-NCL creates a signifcantly high driving head and
high Reynolds number even for small differences in temperature be-
tween source and sink, which in turn induces a high circulation rate in
the system than conventional fuid-like subcritical water [16–18]. Zhang
et al. [19] explored the fuid behaviour of supercritical CO
2
(scCO
2
) by
performing a computational simulation and observed an enhanced heat
transfer phenomenon for scCO
2
-NCLs. Numerical and experimental
research by Yadav et al. [20,21] on the transient behaviour of carbon
dioxide-based NCLs operating in subcritical/supercritical conditions
shows that supercritical CO
2
provides a much higher heat transfer rate
for a specifed loop geometry compared to water. Thippeswamy et al.
[22] conducted an experimental study to investigate the subcritical and
* Corresponding author.
E-mail address: ajaykyadav@nitk.edu.in (A.K. Yadav).
Contents lists available at ScienceDirect
Applied Thermal Engineering
journal homepage: www.elsevier.com/locate/apthermeng
https://doi.org/10.1016/j.applthermaleng.2020.116087
Received 9 May 2020; Received in revised form 25 August 2020; Accepted 15 September 2020