FIELD OF ART
[0001] The present invention relates to a thermal spraying nozzle device, as well as a thermal
spraying system, wherein with use of gas a thermal spraying material is atomized and
brought into collision with a base material to form a film or a deposition layer.
BACKGROUND ART
[0002] Heretofore, a thermal spraying process has been known as a technique of heating a
coating material and the resulting melted or half-melted fine particles are brought
into collision at high speed with the surface of a base material to form a film.
[0003] According to this thermal spraying process, since the base material and the film
are joined together physically, a film can be formed on any material insofar as the
material can be melted. The film formed can satisfy various conditions required in
surface treatment, including abrasion resistance, corrosion resistance and heat insulating
property, and is therefore utilized widely in various fields.
[0004] According to a cold spraying method, a spraying material is brought into collision
with a base material as a supersonic flow together with inert gas and as it is in
a solid phase without being melted or gasified, to form a film. Thus, unlike other
spraying methods, the cold spraying method is advantageous in that there occurs no
thermal change in characteristics of the material and that it is possible to suppress
oxidation in the resulting film.
[0005] Fig. 32 shows a schematic construction of a cold spraying system.
[0006] In the same figure, high pressure gas supplied from a gas source 30 is branched into
two pipes 31 and 32. The gas as a main flow in the pipe 31 is heated by a gas heater
33, while the remaining gas flowing in the pipe 32 is introduced into a powder supply
unit 34.
[0007] The gas heated by the gas heater 33 is introduced into a chamber 36 through a pipe
35, while the powder supply unit 34 supplies powder particles to the chamber 36 through
a pipe 37.
[0008] The gas and the powder particles are mixed together within the chamber 36 and the
resulting mixture passes through a convergent portion 38a and a diffusion portion
38b in a supersonic nozzle 38, whereby the mixture is accelerated and collides as
a supersonic jet flow onto a base material 39 (see, for example,
Japanese Patent Laid-Open No.2004-76157, Patent Literature 1).
[0009] On the other hand, there also has been proposed a method wherein molten metal is
used as a thermal spraying material and is allowed to flow in the state of a thin
film from a chamber having a slit-like outlet, then is atomized and sprayed by a supersonic
gas flow which passes in the state of a laminar flow through a nozzle, the nozzle
having a slit-like orifice formed in the vicinity of an outlet of the nozzle (see,
for example,
Japanese Patent Laid-Open No.2002-508441, Patent Literature 2).
Patent Literature 1:
Japanese Patent Laid-Open No. 2004-76157
Patent Literature 2:
Japanese Patent Laid-Open No. 2002-508441
DISCLOSURE OF THE INVENTION
[0010] However, in the former cold spraying system referred to above, since powder particles
of a normal temperature are brought into collision with a base material and are heated
locally to a temperature of not lower than the melting point thereof with heat resulting
from plastic deformation and thereby adhered onto the base material, a gas pressure
of 1.0 to 3.0 MPa is needed for attaining a particles velocity of, say, 600 m/s or
more. Besides, it is necessary to pre-heat the gas up to 600°C. Thus, there is the
problem that handling is difficult. Moreover, it is not easy to supply the powder
particles at a constant rate.
[0011] In the latter thermal spraying system referred to above, atomization is performed
at a supersonic velocity, the nozzle is not designed for acceleration of particles
and therefore it is impossible to obtain such high density film or deposit as permits
omission of HIP (Hot Isostatic Pressing).
[0012] The present invention has been accomplished in view of the above-mentioned problems
involved in the conventional spraying systems and provides a thermal spraying nozzle
device and a thermal spraying system both able to supply a thermal spraying material
at a constant rate and control the state of a film or a deposit.
[0013] The thermal spraying nozzle device according to the present invention is, in the
gist thereof, a thermal spraying nozzle device wherein carrier gas is introduced from
an inlet side of a nozzle to form a supersonic gas flow and a thermal spraying material
is atomized and ejected by the gas flow, the thermal spraying nozzle device comprising,
a storage section storing molten metal as the thermal spraying material connected
to an end on the inlet side of the nozzle through a connecting pipe, and, the nozzle
having a throat portion and a divergent region in a downstream of the throat portion
toward an outlet side to form the supersonic gas flow, wherein the thermal spraying
nozzle device is configured such that metal particles atomized by the supersonic gas
flow are cooled to a solidified or semi-solidified state in the divergent region and
then ejecting in a predetermined direction from the outlet side of the nozzle.
[0014] Preferably, within the connecting pipe in the above thermal spraying nozzle device,
a molten metal outlet pipe is extended from the storage section toward the center
in the throat portion or the center on the downstream side of the throat portion and
an outside portion of the molten metal outlet pipe constitutes a channel for the carrier
gas to flow therethrough in an accelerated state.
[0015] According to the gist of the nozzle used in the present invention, a divergent angle
of the divergent region formed on the downstream side of the throat portion is not
larger than 15° in terms of a half-cone angle.
[0016] The length of the divergent region is a flight distance until solidification or semi-solidification
of the atomized metal particles and is determined on the basis of a flight distance
which is determined by modeling both flight distance of the atomized metal particles
and the temperature of the metal particles. More specifically, the flight distance
until solidification or semi-solidification of the atomized metal particles is determined
by first determining a flight time until change of the atomized metal particles into
a solidified or semi-solidified state and then substituting the said flight time into
the following expression, and the length of the divergent region, in the gist thereof,
is set to a length of not shorter than the said flight distance:
[0017] 
where l
f is the flight distance of the particles, t
f is the flight time until solidification or semi-solidification of the particles,
u
g is flow velocity of gas, ρ
g is gas density, ρ
s is particle density, d
s is particle diameter, and a
g is sound velocity of gas.
[0018] Preferably, given that an inlet pressure of the carrier gas is po and a nozzle outlet
pressure thereof is P
B, the carrier gas is introduced into the nozzle in a state in which the inlet pressure
Po satisfies the following expression:
[0019] 
where κ: specific heat ratio of compressed gas, M: Mach number in the expanded nozzle
portion on the downstream side of the throat portion.
[0020] The thermal spraying system according to the present invention, in the gist thereof,
comprises the thermal spraying nozzle device constructed as above, a carrier gas supply
unit connected to the nozzle through a conduit to introduce the carrier gas under
pressure into the nozzle, a sealed chamber accommodating the nozzle and a base material
for collision therewith of the ejected particles, and pressure reducing means for
reducing the internal pressure of the sealed chamber.
[0021] The thermal spraying system according to the present invention, in the gist thereof,
comprises the thermal spraying nozzle device constructed as above, a molten metal
supply unit connected to the storage section through a connecting pipe to supply molten
metal under pressure continuously to the molten metal in the storage section, and
a base material supply unit for continuous supply of the base material.
[0022] The present invention is advantageous in that the thermal spraying material can be
supplied constantly and that it is possible to control the state of a film or a deposit.
BRIEF DESCRIPTION OF THE DRAWINGS
[0023]
Fig. 1 is a perspective view showing the construction of a thermal spraying device
according to the present invention;
Figs. 2(a) and 2(b) are explanatory diagrams showing the definition of an expanded
portion of a nozzle.
Fig. 3 is a graph explaining a relation between Mach number and drag coefficient.
Fig. 4 is a graph showing nozzle lengths according to particle diameters.
Fig. 5 is an explanatory diagram showing a conventional nozzle divergent angle.
Fig. 6 is an explanatory diagram showing a case where a shock wave is generated within
the nozzle.
Fig. 7 is an explanatory diagram showing a case where a supersonic flow is formed
throughout the entire region of the nozzle.
Fig. 8 is a graph showing a typical example of a nozzle shape.
Fig. 9 is a graph showing a nozzle outlet diameter providing an appropriate expansion.
Fig. 10 is a graph showing nozzle length vs. Mach number at a particle diameter of
20 µm and a throat diameter of 25 mm.
Fig. 11 is a graph showing nozzle length vs. gas temperature/velocity distribution
at a particle diameter of 20 µm and a throat diameter of 25 mm.
Fig. 12 is a graph showing nozzle length vs. particle temperature/velocity distribution
at a particle diameter of 20 µm and a throat diameter of 25 mm.
Fig. 13 is a graph showing nozzle length vs. Mach number at a particle diameter of
20 µm and a throat diameter of 35 mm.
Fig. 14 is a graph showing nozzle length vs. gas temperature/velocity distribution
at a particle diameter of 20 µm and a throat diameter of 35 mm.
Fig. 15 is a graph showing nozzle length vs. particle temperature/velocity distribution
at a particle diameter of 20 µm and a throat diameter of 35 mm.
Fig. 16 is a graph showing nozzle length vs. Mach number at a particle diameter of
50 µm and a throat diameter of 25 mm.
Fig. 17 is a graph showing nozzle length vs. gas temperature/velocity distribution
at a particle diameter of 50 µm and a throat diameter of 25 mm.
Fig. 18 is a graph showing nozzle length vs. particle temperature/velocity distribution
at a particle diameter of 50 µm and a throat diameter of 25 mm.
Fig. 19 is a graph showing nozzle length vs. Mach number at a particle diameter of
50 µm and a throat diameter of 35 mm.
Fig. 20 is a graph showing nozzle length vs. gas temperature/velocity at a particle
diameter of 50 µm and a throat diameter of 35 mm.
Fig. 21 is a graph showing nozzle length vs. particle temperature/velocity distribution
at a particle diameter of 50 µm and a throat diameter of 35 mm.
Fig. 22 is a graph showing nozzle length vs. Mach number at a particle diameter of
100 µm.
Fig. 23 is a graph showing nozzle length vs. gas temperature/velocity distribution
at a particle diameter of 100 µm.
Fig. 24 is a graph showing nozzle length vs. particle temperature/velocity distribution
at a particle diameter of 100 µm.
Fig. 25 is an explanatory diagram showing the construction of a thermal spraying system
to be applied to a batch process.
Fig. 26 is an explanatory diagram showing the construction of a thermal spraying system
to be applied to a continuous molding process.
Fig. 27 is a diagram corresponding to Fig. 1, showing a nozzle of a second embodiment
according to the present invention.
Fig. 28 is a diagram corresponding to Fig. 1, showing a nozzle of a third embodiment
according to the present invention.
Fig. 29 is a diagram corresponding to Fig. 1, showing a nozzle of a fourth embodiment
according to the present invention.
Fig. 30 is a diagram corresponding to Fig. 1, showing a nozzle of a fifth embodiment
according to the present invention.
Fig. 31 is a diagram corresponding to Fig. 1, showing a nozzle of a sixth embodiment
according to the present invention.
Fig. 32 is an explanatory diagram showing the construction of a conventional cold
spraying system.
BEST MODE FOR CARRYING OUT THE INVENTION
[0024] The present invention will be described in detail hereinunder by way of embodiments
thereof illustrated in the drawings.
[0025] Fig. 1 illustrates a basic construction of a thermal spraying nozzle device according
to the present invention.
1. Principle of the thermal spraying nozzle device
[0026] The thermal spraying nozzle device shown in the same figure and indicated at 1 supplies
molten metal M directly into a supersonic nozzle (hereinafter referred to simply as
"nozzle") 2.
[0027] Within the nozzle 2, gas flows at a supersonic velocity, while the molten metal supplied
into the nozzle 2 flows at low speed. A shearing force acts between the two and so
does a surface tension of the molten metal, whereby the molten metal is atomized downstream
of a throat portion 2a of the nozzle 2.
[0028] Atomized metal particles (hereinafter referred to simply as "particles") are accelerated
within the nozzle 2 and are cooled rapidly into a solidified state. Thus, in the thermal
spraying nozzle device 1 according to the present invention, the throat portion 2a
wherein the atomizing process is performed and a divergent region 2b wherein a flying/cooling
process follows the atomizing process are formed integrally with each other.
[0029] The particles ejected from the nozzle 2 just after solidification come into collision
with a base material 3 at a velocity of about 450 m/s. The particles generate heat
due to deformation caused by the collision and a portion thereof rise in temperature
up to a level of the melting point thereof or higher, whereby the particles adhere
to the base material 3 (see the impact depositing process in the figure).
[0030] The numeral 4 in the figure denotes a storage section for storing the molten metal
M, the storage section 4 having a connecting pipe 4a communicating with the nozzle
2.
[0031] A front end portion of the connecting pipe 4a is extended as a molten metal outlet
pipe 4b toward the center of a cylindrical hole of the throat portion 2a and accelerated
carrier gas flows over the outer periphery of the molten metal outlet pipe 4b.
[0032] The principle of collision of solidified particles against the base material 3 is
the same as in the conventional cold spraying. That is, collided particles undergo
a marked plastic deformation and are depressed like a crater, affording a compact
void-free structure within a film (or a deposit layer). Therefore, a molding material
thus formed with the film need not be subjected to HIP (Hot Isostatic Pressing) as
a post-treatment, i.e., application of pressure to remove remaining voids.
[0033] In case of using nitrogen gas as carrier gas (hereinafter referred to simply as "gas")
for generating a supersonic gas flow, it is possible to obtain a molding material
having a low oxygen content because oxidation does not proceed after collision therewith
of the particles. Moreover, since the particles are solidified within only 1 ms as
a flight time thereof through the nozzle 2, it is possible to prevent the progress
of nitriding.
[0034] Besides, molten metal is used as the thermal spraying material and the particles
thereof are brought into collision with the base material 3 at a temperature slightly
lower than the solidifying point thereof. Therefore, in comparison with cold spraying,
even when the collision is performed at a low Mach number (e.g., a Mach number of
2 or so), the surface temperature of the base material 3 reaches a level of not lower
than the melting point and thus the particles can be adhered positively to the base
material 3. The Mach number means gas velocity/sound velocity.
[0035] The nozzle 2 has a nozzle length of the expanded portion set at 100 mm or more and
is configured so as to operate in a state in which a total carrier gas pressure po
satisfies the following expression (1):
[0036] 
where p
0: total carrier gas pressure (throat upstream-side inlet pressure), p
B: throat outlet back pressure, M: Mach number in the thermal spraying material melting
section, κ: specific heat ratio of the carrier gas.
[0037] In accordance with the expression (2) the Mach number M is associated with a sectional
area A* of the throat portion 6 and an intra-nozzle enlarged sectional area A.
[0038] The enlarged sectional area includes a conical enlarged portion of a gradually increasing
diameter from the narrowest portion A* as the throat portion toward the downstream
side, as shown in Fig. 2(a), and an enlarged portion whose diameter suddenly increases
from the narrowest portion A* toward the downstream side and then becomes nearly constant,
as shown in Fig. 2(b).
[0039] 
[0041] 
where ρ
G: gas density, V
G: gas velocity in nozzle inlet, V
L: liquid velocity, D
L: droplet diameter after division, σ: liquid surface tension.
[0042] If reference is made to aluminum alloy as an example of molten metal and nitrogen
gas is supplied at a pressure of 0.8 MPa to the nozzle, a particle diameter of the
aluminum alloy after atomization, which is determined from the expression (3), is
about 20 µm.
[0043] The particles after atomization undergo both accelerating and cooling actions by
a supersonic gas flow and are eventually ejected from the nozzle 2 while having a
supersonic velocity.
[0044] The said acceleration and cooling can be estimated by numerical analysis. More particularly,
a mass, momentum and energy conservation expression as a quasi-one-dimensional compressive
fluid conservation type representation is solved by making an expression (4) simultaneous
with a particles motion equation (6).
2. Method of Numerical Analysis
(1) First, symbols used in a numerical analysis method to be described later are shown
below.
[0045]
- A:
- sectional area of the nozzle
- CD:
- particle drag coefficient
- CP:
- specific heat
- D:
- nozzle diameter
- d:
- particle diameter
- f:
- wall surface friction coefficient
- g:
- gravitational acceleration
- h:
- specific enthalpy
- m:
- mass flow rate
- Nu:
- Nusselt number
- p;
- gas pressure
- Pr:
- Prandtl number
- Q:
- energy per unit time necessary for heating the nozzle
- R:
- gas constant
- Re:
- Reynolds number
- T:
- temperature
- u:
- flow velocity
- x:
- distance in nozzle flow direction
- α:
- Stefan-Boltzmann constant
- ε:
- emissivity
- κ:
- specific heat ratio
- λ:
- thermal conductivity
- µ:
- viscosity coefficient
- ρ:
- density
[0046] The following are the meanings of subscripts:
- g:
- gas
- s:
- second phase (droplet, particle, powder)
- x:
- distance from the nozzle throat portion
- W:
- nozzle wall surface
(2) Dominance Equation of Gas Phase
[0047] A mass, momentum and energy conservation expression as a quasi-one-dimensional compressive
fluid conservation type representation is shown below as an expression (4).

Provided, however, that the following equation (5) of Johnson-Rubeshin is used in
connection with turbulent flow heat transfer of the nozzle wall:

In the above expression, s and e stands for a momentum generation term and an energy
generation term, respectively, which represent an interaction between gas phase and
second phase.
[0048] In actual solution of the expression (1), an advection term is made discrete using
Roe's Flux difference Splitting method which has been made into MUSCL (Monotone Upstream-centred
Schemes for Conversion laws), and time integral is performed using a four-stage Runge-Kutta
method.
(3) Dominance equation of the second phase (droplet, particle, powder)
[0049] Particles' velocity can be obtained by solving the following particle motion equation
(6):

Provided, however:

[0050] The following equation (8) of Kurten is used for drag coefficient:

[0051] The particle temperature can be obtained by solving the following particle energy
equation (9):

However, in the case of a heat insulating wall with nozzle wall temperature equal
to the gas temperature:

In case of the nozzle wall 1b being a heated isothermal wall:

[0052] The following expression (12) of Ranz-Marshall is used for Nusselt number:

[0053] In actual solution of the expressions (6) and (9), QUICK method is used for making
the advection term discrete and time integral is performed using a four-stage Runge-Kutta
method.
(4) Quantity of heat required for heating the nozzle
[0054] The quantity of heat necessary for maintaining the isothermal condition can be estimated
by the following expression (13):

(5) Nozzle Length
[0055] In operation using the thermal spraying nozzle device according to the present invention,
the distance from the nozzle outlet to the deposit is set extremely short because
the device is configured so that the atomized particles collide with the deposit before
deceleration of the particles' velocity. Therefore, it is approximately presumed that
the particle velocity and enthalpy in the nozzle output are substantially maintained,
allowing the particles to be deposited.
[0056] The state of the deposit depends much on the state of the particles being deposited,
but in case of the particles being brought into collision and deposited at a subsonic
velocity as in the conventional thermal spraying nozzle device, the particles cannot
be adhered to the base material or the deposit if the particles are in a solidified
state.
[0057] On the other hand, the thermal spraying nozzle device according to the present invention
defines as an operating condition that semi-solidified or solidified particles with
a greater solid phase ratio so far not utilized should be brought into collision and
deposited at a supersonic velocity. In this connection, it is presumed that molten
metal changes into a semi-solidified state while being atomized and flying, and a
minimum flight distance required until that time-point is determined. This flight
distance is presumed to be a minimum nozzle length required for the device.
[0058] As noted earlier, a motion equation which represents acceleration of the particles
is the following equation (6):

[0059] The expression (6) is convenient for numerical calculation using a fixed calculation
lattice because it is described from the Euler's coordinate system which stands still
together with the nozzle.
[0060] However, the expression in question is inconvenient for tracing the state of the
particles one by one to check both particle velocity and particle enthalpy. Therefore,
if it is expressed in terms of an equation described from the Lagrangian coordinate
system which moves together with flying particles, the following equation (14) is
obtained.
However, for the purpose of simplification, a gravitational term which exerts little
influence is ignored. Further, it is presumed that in a section where the flight distance
is still short the particles are in the course of acceleration and are pushed from
behind like a fair wind by the gas flow and that there always exists the relationship
of gas flow velocity u
g > particle velocity u
s.
[0061] 
By taking a relative velocity between the gas flow velocity u
g and the particle velocity u
s to obtain U = u
g - u
s and by assuming that the gas flow velocity as a supersonic velocity is approximately
constant within the nozzle, the expression (14) can be transformed into the following
expression (15):
[0062] 
In the expression (15), the drag coefficient C
D can be expressed by a function of Reynolds number in the case where the relative
velocity U is a subsonic velocity, as shown in the expression (12), but in the state
just after atomization the relative velocity U is very likely to be a supersonic velocity.
Therefore, in the graph of Fig. 3 (an explanatory diagram of a sphere obtained from
bullet route measurement, as well as drag coefficient of cone-cylinder and Mach number
dependence), the drag coefficient in question is approximated by the following expression
(16) from an experimental result on drag coefficient of Mach number and the sphere
(see an approximate line E in the figure).
[0063] Fig. 3 was quoted from "2nd edition McGraw-Hill Series in Aeronautical and Aerospace
Engineering, Modern Compressible Flow with historical Perspective."

where a
g stands for the sound velocity of gas and M stands for Mach number.
[0064] From the expressions (16) and (15) there is obtained the following expression (17)
which expresses a relation between the particle flight time, t, and the relative velocity
U:

where the particle velocity u
s is assumed equal to zero at t = 0.
[0065] The relation between the flight time t
f and the flight distance l
f is obtained from the following expression (18):

where u
g is the flow velocity of gas, ρ
g is the density of gas, ρ
s is the density of particles, and d
s is particle diameter.
[0066] Once the flight time t
f until the particles reach a semi-solidified state is known, the particle flight distance
l
f in the past is calculated, corresponding to the required minimum nozzle length. For
this reason, the flight time t
f until the particles become semi-solidified is determined. Cooling of the particles
is given in terms of the foregoing expression (9):

[0067] Like the expression (14), this can be expressed in terms of the Lagrangian coordinate
system as follows (19):

Initial molten metal temperature, liquidus temperature and solidus temperature are
almost equal approximately and if the value there of is represented by the material
melting point T
m, T
s= T
m. The gas temperature T
s and the nozzle wall surface temperature T
w are also assumed equal approximately.
[0068] Nusselt number Nu, which represents the degree of heat transfer, is represented by
the expression (12), but can be rewritten into the following expression (20) using
the relative velocity U:

[0069] If latent heat of solidification of the molten metal is assumed to be L, the following
expression (21) is valid in order to attain a semi-solidified state with a larger
solid phase ratio:

In the above expression there is written L/2 because a nearly intermediate point
of transition from liquid phase to solid phase corresponds to a semi-solidified state.
[0070] In this case there is established an equal sign in the expression (21) because determining
a minimum nozzle length means determining the shortest flight time t
f until the particles becomes semi-solidified.
[0071] If Nusselt number Nu is eliminated from the expressions (19) and (20) and the relative
velocity U is also eliminated using the expression (17) and if an equal sign expression
in the expression (21) is used, there is obtained the following relationship (22)
of the shortest flight time t
f until the particles reaches a semi-solidified state:

where Pr is Prandtl number of gas, λ is the thermal conductivity of gas, T
m is the material melting point, T
g is the temperature of gas, and µ
g is the viscosity coefficient of gas.
[0072] The above expression (22) cannot be solved for t
f, but can be solved numerically using the Newton's method.
[0073] Thus, by determining the shortest flight time t
f from the expression (22) and substituting it into the expression (18) there is determined
the shortest flight time, i.e., minimum nozzle length l
f.
[0074] The thermal spraying nozzle device according to the present invention is characterized
by being a device using a nozzle with a length of not smaller than the above nozzle
length l
f, and by accelerating the particles up to a supersonic velocity the particles even
in a solidified state adhere to the base material or deposit. Thus, the nozzle length
has no upper limit theoretically.
[0075] Fig. 4 is a graph of having determined minimum nozzle lengths concretely with use
of aluminum and copper. The nozzle lengths shown therein are considered necessary
when particles of various diameters assume a semi-solidified state with a solid phase
ratio exceeding 0.5. In the same graph, the particle diameter is plotted along the
axis of abscissa and the nozzle length along the axis of ordinate.
Carrier gas conditions are the same as in Table 1 which will be described later.
[0076] As a result of atomization, when an average particle diameter in terms of volume
occupancy for example is 50 µm, a required nozzle length is 0.17 m in case of aluminum
and 0.12 m in case of copper.
[0077] Heretofore, when flowing molten metal into a supersonic nozzle for the purpose of
atomization, there is used a nozzle having a larger divergent angle (a divergent angle
of the divergent region on the downstream side of the throat portion) of θ > 15° in
terms of a half-cone angle as shown in Fig. 5 in order to avoid adhesion of the particles
to the inner wall surface of the nozzle. The said half-cone angle means the angle
between the central nozzle axis and the nozzle inner wall.
[0078] In this case, the sectional area ratio A/A* increases abruptly and so does Mach number
(see the expression (2)), but a shock wave front appears upon arrival at Mach number
M
1 which is determined from the isentropic change expression (23) and the vertical shock
wave relationship (24), and with this as a boundary the gas flow on the downstream
side becomes a subsonic flow and the divergent angle of the nozzle inner wall is large,
so that the gas flow near the inner wall surface peels off the inner wall surface.
[0079] At this time, the Mach number M
1 is determined from the expression (25) and the sectional area ratio A/A* at the position
where the shock wave front appears is determined from the expression (26).
[0080] Such a nozzle has heretofore been suitable for atomization, but the intra-nozzle
gas flow immediately becomes a subsonic flow and the concept of accelerating particles
is not existent. On the other hand, in the construction of the nozzle according to
the present invention, the particles after atomization are accelerated up to a supersonic
velocity while setting the divergent angle of the nozzle at 15° or less to prevent
separation of the gas flow and so that the particles even in a semi-solidified state
can be adhered to the base material or deposit. In other words, in the nozzle according
to the present invention, the distance from the narrowest portion of the nozzle up
to the shock wave front generating position is extended long until the particles reach
a solidified or semi-solidified state.
[0082]
- (a) The divergent angle of the nozzle should be θ ≤ 15° in terms of a half-cone angle.
[0083]
(b) The divergent angle of the nozzle should be θ ≤15° in terms of a half-cone angle,
and when a shock wave upstream Mach number M1 is determined by the expression (25) on the basis of the total carrier gas pressure
po and the nozzle outlet back pressure pB and is substituted into the expression (26) to determine the sectional area A1 of the nozzle, the nozzle length lf up to the position corresponding to the sectional area A1 of the nozzle should be not shorter than a minimum nozzle length lf determined from both the expression (18) and the relationship (22) which defines
the shortest flight time until the particles become semi-solidified.
[0084] Fig. 6 shows a case where a shock wave is generated within the nozzle.
[0085]
(c) The divergent angle of the nozzle should be θ ≤ 15° in terms of a half-cone angle,
the nozzle length lf should be not shorter than the shortest nozzle length lf determined from both the expression (18) and the relationship (22) which defines
the shortest flight time until the particles become semi-solidified, and when a shock
wave upstream Mach number M1 is determined by the expression (25) on the basis of the total carrier gas pressure
po and the nozzle outlet back pressure pB and is substituted into the expression (26) to determine the sectional area A1 of the nozzle, the sectional area A1 should be larger than the nozzle outlet sectional area Ae.
[0086] In this case, since a supersonic flow is generated in the whole region of the nozzle
as shown in Fig. 7, a shock wave front is generated on the downstream side of the
nozzle outlet.
3. Designing an actual nozzle
3-1) Physical property values of materials and Restraint conditions
[0087] Physical property values of materials and restraint conditions used calculating an
actual nozzle are shown in Table 1.
[0088]
[Table 1]
Physical property values of materials and restraint conditions used in calculating
an actual nozzle |
Kind |
Material/Shape |
Physical Properties & Conditions |
Value |
Unit |
Carrier Gas |
Nitrogen |
Specific heat |
297 |
J/KgK |
|
|
Specific heat ratio |
1.4 |
|
|
|
Thermal conductivity |
2.5x10-3 |
W/mK |
|
|
Viscosity coefficient |
18x10-6 |
Pas |
|
|
Prandtl number |
0.72 |
|
|
|
Initial total temperature |
293 |
K |
|
|
Total pressure |
0.8 |
Mpa |
|
|
Back pressure |
0.1 |
MPa |
Particles |
Aluminum alloy |
Density |
2700 |
kg/m3 |
|
|
emissivity |
0.5 |
|
|
|
Specific heat in liquid phase |
902 |
J/kgK |
|
|
Specific heat in solid phase |
951 |
J/kgK |
|
|
Latent heat of solidification |
398x103 |
J/Kg |
|
|
Liquefaction start point temperature |
934 |
K |
|
|
Solidification start point temperature |
773 |
K |
|
|
Initial temperature |
1173 |
K |
|
|
Initial flow velocity |
6 |
m/s |
Nozzle |
Axisymmetric specific heat |
Maximum half-cone angle |
5 |
deg |
By the maximum half-cone angle in the above table is meant a maximum angle between
the nozzle axis and the nozzle inner wall.
3-2) Conditions for study
[0089] Molten metal (particles) mass flow rate [kg/s],
four conditions: 0.025, 0.050, 0.075, 0.100
Particle diameter [µm], three conditions: 20, 50, 100
Nozzle throat portion dia. [mm], two conditions: 25, 35
The mass flow rate of gas at the throat diameter of 25 mm and that at the throat diameter
of 35 mm correspond to 0.9 [kg/s] and 1.8 [kg/s], respectively.
[0090] Under the above conditions, a nozzle shape in case of an appropriate expansion (static
pressure in nozzle outlet =back pressure = atmospheric pressure) being obtained was
determined and the relation between particle temperature and particle velocity was
checked. At a supersonic flow there is no influence exerted on the upstream side from
the downstream side and therefore, for example, the result of calculation at the position
of 300 mm in a nozzle 500 mm long can be regarded as it is as the state in the outlet
of a 300 mm long nozzle. This is a different point from a subsonic nozzle.
3-3) Construction of the actual nozzle
3-3-1) Entire Construction
[0091] A typical example of a nozzle shape designed for spray acceleration is shown in the
graph of Fig. 8.
[0092] In the illustrated example the maximum half-cone angle of the nozzle is set at 5°
(see Table 1).
[0093] This nozzle is configured with a view to (a) expanding dispersed droplets after atomization
quickly up to the maximum diameter so as not to adhere to the nozzle wall and (b)
taking long a straight pipe portion at the maximum diameter at which the velocity
becomes maximum so as to accelerate the particles.
[0094] However, in comparison with a conical nozzle used commonly in cold spray, the nozzle
of this embodiment is inconvenient in that the whole of a straight pipe portion which
occupies most of the nozzle becomes subsonic in the case where a pressure ratio is
lower than a design value or when a lot of cold particles are supplied. Thus, the
nozzle of this embodiment is unsuitable for operation in a deviated state from the
design value, but is suitable for production equipment in which operation is repeated
under the same conditions. In this connection, the graph of Fig. 9 shows nozzle outlet
diameters affording an appropriate expansion on the premise that operation is performed
under the same conditions as just referred to above.
[0095] In the same graph, the reason why the nozzle outlet diameter increases with an increase
in flow rate of molten metal no matter which of 25 mm and 35 mm of the nozzle throat
diameter may be is that the gas receives the heat carried in by the molten metal,
creating an expandable state.
[0096] An interesting point is that if a nozzle is designed under the condition of a small
mass flow rate of molten metal, even if the molten metal is supplied to the nozzle
at a flow rate exceeding the design value, operation can be done up to a limitation
based on a momentum delivered to the particles although the acceleration efficiency
decreases due to deficient expansion. Conversely, it is seen that at a mass flow rate
of molten material smaller than the design value it is impossible to effect acceleration
up to a supersonic velocity.
[0097] Next, Table 2 shows a relation between nozzle throat diameters resulting from design
calculation in the actual nozzle and mass flow rate of gas in case of heating being
not performed.
[0098]
[Table 2]
Results of nozzle design calculation of this time and mass flow rate of gas |
Mass Flow Rate of Molten Metal |
Throat Dia. |
Nozzle Outlet Dia. |
Mass Flow Rate of Gas, kg/s |
Particle Dia., µm |
kg/s |
mm |
mm |
20 |
50 |
100 |
0 |
25 |
32 |
0.91 |
35 |
45 |
1.79 |
0.025 |
25 |
34 |
0.91 |
0.91 |
|
35 |
47 |
1.79 |
1.79 |
|
0.05 |
25 |
36 |
0.90 |
0.91 |
0.92 |
35 |
48 |
1.78 |
1.79 |
|
0.075 |
25 |
38 |
0.88 |
Subsonic |
|
35 |
49 |
1.76 |
1.79 |
1.79 |
0.1 |
25 |
|
Decelerate to subsonic immediately influx |
35 |
50 |
1.76 |
1.79 |
1.79 |
3-3-2) In case of the particle diameter after atomization being 20 µm :
[0099] In Figs. 10 to 12 there are shown intra-nozzle Mach number distributions, gas temperature/velocity
distributions, and particle temperature/velocity distributions, respectively, assuming
that the particle diameter after atomization is 20 µm and the nozzle throat diameter
is 25 mm. In the graphs to be described below, Distance plotted along the axis of
abscissa represents the nozzle length, while in the axis of ordinate, Mach number,
Gas temp, Gas Velc, Solid temp, and Solid Velc, represent Mach number, gas temperature,
gas velocity, particle temperature, and particle velocity, respectively.
[0100] In Figs. 13 to 15 there are shown intra-nozzle Mach number distributions, gas temperature/velocity
distributions, and particle temperature/velocity distributions, respectively, assuming
that the particle diameter after atomization is 20 µm and the nozzle throat diameter
is 35 mm.
[0101] Because of a heated Rayleigh flow which receives heat from molten metal, Mach number
decreases, gas temperature rises, and gas velocity decreases.
[0102] Since in this embodiment the nozzle outlet diameter is determined so as to give an
appropriate expansion after heating, the static pressure of gas is almost equal to
the atmospheric pressure and gas velocities are all 510 m/s or so.
[0103] It is interesting to note that if the nozzle outlet diameter is determined so as
to give an appropriate expansion after heating with respect to each of such conditions,
the state on the particles side now affords almost equal results in both particle
velocity and particle temperature.
[0104] This is because intra-nozzle gas velocity distributions are almost equal and the
gas temperature difference is small in comparison with the difference in temperature
from molten metal.
[0105] The difference between the throat diameters 25 mm and 35 mm appears in the gas temperature,
but does not appear in the gas velocity, as shown in Figs. 11 and 14. Therefore, as
to the particles influenced by the gas temperature, a difference appears in the particle
temperature, but does not appear in the particle velocity.
[0106] In the case where the particle diameter is 20 µm, solidification is completed at
a nozzle length of about 160 mm, but the particle velocity is only about 400 m/s.
In this case, if the nozzle length is extended to 500 mm, it is possible to accelerate
the particle velocity to 480 m/s, but the particles are cooled to a temperature of
400K.
[0107] Thus, in case of the particle diameter being 20 µm, there is a tendency that the
particles are cooled too much in comparison with acceleration, so it is necessary
to determine the nozzle length prudently.
3-3-3) In case of the particle diameter after atomization being 50 µm:
[0108] In Figs. 16 to 18 there are shown intra-nozzle Mach number distributions, gas temperature/velocity
distributions, and particle temperature/velocity distributions, respectively, assuming
that the particle diameter after atomization is 50 µm and the nozzle throat diameter
is 25 mm.
[0109] Likewise, in Figs. 19 to 21 there are shown intra-nozzle Mach number distributions,
gas temperature/velocity distributions, and particle temperature/velocity distributions,
respectively, assuming that the particle diameter after atomization is 50 µm and the
nozzle throat diameter is 35 mm.
[0110] Mach number, gas temperature and particle velocity show a tendency not greatly different
from that in the case of the particle diameter being 20 µm, but a conclusive different
point resides in the particle temperature cooling velocity shown in Figs. 18 and 21.
[0111] In the case where the particle diameter is 50 µm, a flight distance of about 1.2
m is needed within the nozzle until completion of solidification. If the nozzle length
is extended to 1.2 m accordingly, an asymptotic line of particle acceleration is fairly
approached conveniently.
[0112] In this condition the particles are ejected from the nozzle at a particle temperature
of 750K and a particle velocity of 470 m/s and thus this condition is most preferred
as an impact depositing condition for the base material.
3-3-4) In case of the particle diameter after atomization being 100 µm :
[0113] In Figs. 22 to 24 there are shown intra-nozzle Mach number distributions, gas temperature/velocity
distributions, and particle temperature/velocity distributions, respectively, in case
of the particle diameter after atomization being 100 µm.
[0114] This calculation result shows that a nozzle length of 5 m is needed until solidification
after a lowering of the cooling velocity in case of the particle diameter being 100
µm. Since particle acceleration has already ended at the time point corresponding
to the nozzle length of 3 m and the particle velocity now reaches about 450 m/s, cooling
becomes later. Such a situation occurs when atomization cannot be done to a satisfactory
extent.
[0115] Fig. 25 shows a construction in case of a thermal spraying system according to the
present invention being applied to a batch process.
[0116] In the same figure, the same constituent elements as in Fig. 1 are identified by
the same reference numerals, and explanations thereof will be omitted.
[0117] As carrier gas, helium gas of a low molecular weight, which is preferred in point
of a sound velocity becoming high when accelerating particles, is used in place of
nitrogen gas.
[0118] Carrier gas supplied from a helium gas cylinder 10 is branched into two pipes 11
and 12. The carrier gas flowing in the pipe 11 imparts a head pressure to molten metal
stored in a storage section 4, while the carrier gas flowing in the pipe 12 is introduced
into a nozzle 2 and passes through a throat portion 2a of the nozzle 2, whereby it
is accelerated to a supersonic velocity. The helium gas cylinder 10 and the pipes
11, 12 function as a carrier gas supply unit for the supply of carrier gas under pressure.
[0119] The molten metal flowing down from the storage section 4 is atomized by the supersonic
gas flow in the nozzle 2, then the atomized particles are cooled in the nozzle 2 and
ejected from a front end of the nozzle 2.
[0120] The ejected particles collide with and adhere to the surface of a base material 3.
The nozzle 2 and the base material 3 are accommodated within a chamber 13 which is
a sealed chamber. The chamber 13 is connected to a gas storage tank 16 via a cyclone
unit 14 as an exhaust unit and an exhaust vacuum pump (pressure reducing means) 15.
The cyclone unit 14 recovers particles suspended in exhaust air and supplies only
gas to the exhaust vacuum pump 15.
[0121] The exhaust unit is provided for increasing the Mach number of carrier gas and thereby
increasing the particle velocity. The helium gas recovered into the gas storage tank
16 is compressed by a compressor 17 and is re-utilized.
[0122] Fig. 26 shows a basic construction in case of applying a thermal spraying system
according to the present invention to a continuous molding process.
[0123] In the continuous molding process shown in the same figure, a continuous melting
furnace 20 is connected to a storage section 4 and the storage section 4 and the continuous
melting furnace 20 are in communication with each other through a connecting pipe
21. The height of the continuous melting furnace 20 is set so that the inner pressure
of the storage section 4 is held at 0.8 MPa by a head pressure. The continuous melting
furnace 20 disposed at the above predetermined height functions as a molten metal
supply unit for continuous supply of molten metal under pressure.
[0124] Thus, molten metal can be supplied to a nozzle 2 continuously from the storage section
4.
[0125] While a base material 22 rotates also in the direction of arrow A, it is drawn out
in the direction of arrow B by rotation of take-off rollers (base material supply
unit) 23a and 23b, whereby particles can be sprayed continuously onto the base material
22 to effect molding.
[0126] Figs. 27 to 31 show other embodiments of nozzles 2 according to the present invention.
In each of the nozzles, the nozzle itself is fabricated using a non-metal such as
a ceramic material or carbon to deteriorate the surface affinity, whereby metal particles
adhered to the inner surface of the nozzle can be blown off easily by a supersonic
gas flow. In those figures, the same constituent elements as in Fig. 1 are identified
by the same reference numerals, and explanations thereof will be omitted.
[0127] In the case of a nozzle 40 shown in Fig. 27, a nozzle 41 is fabricated using zirconium
for thermal spraying of aluminum alloy, the outside of the nozzle 41 being covered
with a ceramic cylinder 42, and a nozzle heater 43 capable of raising temperature
up to a maximum of 900°C is wound plural turns round the cylinder 42. As the material
of the nozzle 41 it is preferable to use a material called partially stabilized zirconium
with for example yttria (Y
2O
3) added as a stabilizing agent, which material possesses high strength, high abrasion
resistance and high corrosion resistance.
[0128] As to a nozzle 44 shown in Fig. 28, the nozzle itself is constituted by a ceramic
fiber heater 45. More specifically, a material consisting principally of alumina and
silica is made into a high temperature insulating ceramic fiber, followed by embedding
a heating element into the ceramic fiber and subsequent integral molding. Numerals
46a and 46b in the figure denote electrode connecting portions of the heater.
[0129] According to the construction of a nozzle 47 shown in Fig. 29, a carbon heater 49
is disposed around an outer wall of a body portion of a ceramic nozzle 48 and heating
is performed by radiation.
[0130] The carbon heater 49 is divided into plural portions by slits 51d and 51e which are
formed a predetermined length alternately from both upper and lower sides of a cylindrical
nozzle 48. Numerals 49a and 49b denote electrode connecting portions of the carbon
heater 49. Numeral 50 denotes a cylindrical reflection case having a specular-finished
inner wall and it is provided for enhancing the radiation efficiency.
[0131] In the nozzle 47 constructed as above, when electric power is fed from a power supply
(not shown) to the carbon heater 49 via the electrode connecting portions 49a and
49b, the carbon heater 49 generates heat from the interior thereof due to Joule heat
induced by the supply of electric power. As a result, the ceramic nozzle 48 is heated
by radiation heat transfer from the carbon heater 49 and the metal adhered to the
inner wall of the nozzle 37 is melted.
[0132] As to a nozzle 51 shown in Fig. 30, the nozzle itself is fabricated by a carbon heater
52. Numerals 52a and 52b denote electrode connecting portions of the carbon heater.
By replacing a ceramic nozzle with a carbon or carbon composite nozzle, the radiation
rate of the nozzle surface is further enhanced and it is possible to further improve
the heating efficiency of the nozzle 51.
[0133] In Figs. 29 and 30, the presence of oxygen causes an oxidation reaction of carbon
itself, so for avoiding such an inconvenience, the whole of the system is covered
with a chamber and gas such as argon or nitrogen gas is used as high pressure gas
to purge the interior of the chamber with an inert atmosphere.
[0134] Also by fabricating a nozzle with a metallic material superior in thermal conductivity,
e.g., copper, and thermal spraying of a ceramic material to the inner wall of the
nozzle thus fabricated to form a ceramic film, it is possible to deteriorate the surface
affinity as is the case with each of the foregoing nozzles.
[0135] In the case of a nozzle 53 shown in Fig. 31, a zirconium film (the portion indicated
by a thick broken line in the figure) 55 is formed on an inner surface of a copper
nozzle 54 and a nozzle heater 43 is wound plural turns round an outer periphery surface
of the nozzle.
INDUSTRIAL APPLICABILITY
[0136] The thermal spraying nozzle device and the thermal spraying system according to the
present invention are suitable in a field in which it is required to supply a thermal
spraying material constantly onto a base material and control the state of a film
or deposit formed on the base material.