Simulation of Fluid Flow and Heat Transfer Including
Phase Change during the Impact of Semi-Molten Particles
S. Alavi
Graduate Student
Ferdowsi University of Mashhad
Mashhad, Iran
sina.alavi@stu-mail.um.ac.ir
M. Passandideh-Fard
Associate Professor
Ferdowsi University of Mashhad
Mashhad, Iran
mpfard@um.ac.ir
J. Mostaghimi
Professor
University of Toronto
Toronto, Ontario, Canada
mostag@mie.utoronto.ca
ABSTRACT
A numerical method is proposed in this paper which is
capable of modeling the impact and deposition of semi-
molten particles. By attributing a high viscosity to the solid
region, simulating the motion of solid cores including
solidification/melting is made possible inside the particle.
The Navier-Stokes equations are solved in combination with
the Volume-of-Fluid (VOF) technique to track the free
surface of the particles. In addition, the heat transfer
including phase change is modeled using the enthalpy
method. The viscous terms are treated implicitly to relax the
restrictions associated with small computational time-steps
in explicit formulations. Several case studies with operating
conditions of a typical thermal spray process are simulated.
These cases include the impact of molten and semi-molten
nickel particles in an atmospheric plasma spray process
(APS). The effects of various parameters such as particle
solid-core diameter, initial velocity and temperature are
investigated. The simulations show that the size of the solid
core has an important effect on the amount of particle
splashing during the impact.
KEYWORDS: Semi-molten particles, Thermal spray
processes, Volume-of-Fluid (VOF), High viscosity method,
Solidification and heat Transfer.
1. INTRODUCTION
Thermal spraying technology includes the coating of
surfaces using different techniques to serve in several
industries such as aeronautics and space industries,
automotive industries, chemical and electronic industries,
etc. In these techniques, molten particles are generated from
raw material which is fed into a thermal spray torch, in the
form of wire, rod or powder. For example in plasma
spraying, a high-temperature plasma flame melts and
accelerates particles, usually provided as powder, to form
the coating on the substrate. The properties and
microstructure of the coatings strongly depend on the
phenomena happening during the particle flight time
between the injection of the particles into the flame and their
impact on the substrate [1]. Depending on the size and
properties of the powder particles and the plasma operating
conditions, such as temperature and velocity, the particles
may be completely molten, completely solid or semi-molten
at the impact. The presence of semi-molten particles highly
increases the porosity of the final coating; as a result, the
existence of these particles in a coating process is
undesirable [2]. A numerical model capable of simulating
this complex phenomenon, therefore, is essential in
understanding various characteristics of a coating related to
the impact and deposition of partially molten particles. A
literature review of the research in this field explains this
fact.
The history of the simulation of droplet impacts began in the
late sixties when Harlow and Shannon [3] first employed the
Marker-and-Cell (MAC) method in cylindrical coordinates
to model the splash of droplets. Implementing heat transfer
along with the fluid flow simulation during the impact was
performed later by many researchers [4-7]. Brackbill et al.
[8] proposed the Continuum Surface Force (CSF) model that
highly improved the application of surface tension forces on
the free surface. Many other aspects of the droplet impact
phenomenon were studied by other researchers [9-12].
Wetting effects, droplet recoiling, convection effects,
contact resistance, and droplet impacts with different
velocities and temperatures on various substrates are among
the studied subjects.
Later, 3D numerical simulations made possible the
modeling of asymmetric phenomena like splashing and
Proceedings of the ASME 2012 Summer Heat Transfer Conference
HT2012
July 8-12, 2012, Rio Grande, Puerto Rico
HT2012-58252
1 Copyright © 2012 by ASME