Parametric Redesign of a Convergent-Divergent Cold Spray Nozzle
Florentina-Luiza Zavalan¹ and Aldo Rona²
University of Leicester, Leicester, United Kingdom
¹ flz1@leicester.ac.uk, ² aldo.rona@leicester.ac.uk
Abstract
The generation of a high velocity carrier gas flow for cold
metal particle applications is addressed, with specific focus on
titanium cold spraying. The high hardness of this material
makes cold spraying titanium difficult to achieve by industry
standard nozzles. The redesign of a commercial conical
convergent-divergent cold spray nozzle is achieved by the
application of aerospace design codes, based on the Method of
Characteristics, towards producing a more isentropic
expansion by contouring the nozzle walls. Steady three-
dimensional RANS SST k-ω simulations of nitrogen are
coupled two-way to particle parcel tracking in the Lagrangian
frame of reference. The new contoured nozzle is found to
produce higher particle velocities with greater radial spread,
when operated at the same conditions/cost of operation as the
commercial nozzle. These numerical results have shown the
potential for extending cold spray to high density and low
ductility particles by relatively minor rig modifications,
through an effective synergy between gas dynamics and
material science.
Introduction
Cold spraying is a material deposition process developed
about 40 years ago by the Russian scientists as a metal coating
technology [1, 2]. This technique consists in accelerating
powder particles to a high velocity (typically higher than 300
m/s) by a high-speed flow. The particles impinge onto a
substrate, where they plastically deform under the action of
their own kinetic energy and form a coating, as shown
diagrammatically in Fig. 1.
Figure 1: Schematic of a high-pressure cold spray system [3].
The major advantage of this metal processing technique is the
low temperature involved, which minimizes any potential
phase change of the substrate and keeps the particles in their
solid state. This is making cold spray suitable for depositing a
wide range of traditional and advanced materials on many
types of substrate, lately being also used as an additive
manufacturing and repair technology [3-5]. Alkhimov et al. [2]
demonstrated that the key parameters for the successful
bonding of the particles with the substrate are impact velocity
and temperature. High velocity is necessary for optimal
deposition efficiency and packing density. At low
temperatures, particle oxidation is avoided, which can make
cold spray depositions more durable and with a better bond
strength than plasma spray coatings. Given the key role of
particle velocity and of particle kinetic energy on the quality of
the deposition, a good understanding of the factors that affect
the particle velocity upon impact is crucial for improving the
current cold spray practices.
One of the most important components of the cold spray
system is the supersonic nozzle and its capability of generating
high deposition efficiency. In cold spraying, a supersonic gas
jet is formed using a de Laval or a similar converging-
diverging nozzle. The influence of the nozzle design in the
cold spray process is discussed by several authors in the
literature, with several studies dedicated to the optimization of
the cold spray nozzle configuration. Dykhuizen et al. [6]
presented a method for the optimal design of a cold spray
nozzle. Alkimov et al. [7] also investigated a model to
optimize the nozzle geometry. Later, various nozzle shapes
were investigated, such as convergent-divergent nozzles [8-
12], convergent-divergent-barrel nozzles [10], convergent-
barrel [10, 13], and bell-shaped nozzles [14, 15]. Tabbara et
al. [16] and Yin et al. [17] investigated the effect of the nozzle
cross-section on the particle velocity and distribution. Suo et
al. [18] and Varadaraajan et al. [19] studied the effect of the
nozzle geometry on particle distribution for rectangular
nozzles. Jodoin [20] found that an exit Mach number between
1.5 and 3.0 can ensure the sprayed particles achieve a
sufficient deceleration on impact to provide a well-bedded
metal coating. Grujicic et al. [21] discovered that a relative
Mach number of 1.4 leads to the highest particle acceleration,
which is conducive to generating high particle kinetic energy.
These particles embed well into the target. Lupoi [22] has
shown that the effect of nozzle geometry on deposition
efficiency is difficult to predict.
There are still some unanswered questions concerning the
influence of the nozzle design on the discrete phase properties,
that is, on the particulate. Therefore, further studies are
necessary to determine the optimal design approach for cold
spray nozzles. Addressing this knowledge gap, a new
workflow for designing contoured axisymmetric nozzles (the
so-called bell-shaped nozzles) for cold spraying is presented.
Thermal Spray 2021: Proceedings from the International Thermal Spray Conference
May 24–28, 2021
F. Azarmi, X. Chen, J. Cizek, C. Cojocaru, B. Jodoin, H. Koivuluoto, Y. Lau, R. Fernandez,
O. Ozdemir, H. Salami Jazi, and F. Toma, editors
DOI: 10.31399/asm.cp.itsc2021p0221
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