Modeling of the substrate cooling system in the installation for the deposition of coatings by the gas plasma method
The efficiency of diamond coating synthesis depends on both the parameters of the plasma flow and the uniform temperature distribution on the surface of the substrate on which the coating is synthesized. Mathematical modeling of the substrate cooling system in the installation for the deposition of...
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| Cite this: | Modeling of the substrate cooling system in the installation for the deposition of coatings by the gas plasma method / S.O. Martynov, O.A. Luchaninov, V.P. Lukyanova, S.I. Prokhorets, O.O. Slabospytska, M.A. Khazhmuradov // Problems of Atomic Science and Technology. — 2023. — № 3. — С. 72-75. — Бібліогр.: 2 назв. — англ. |
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Martynov, S.O. Luchaninov, O.A. Lukyanova, V.P. Prokhorets, S.I. Slabospytska, O.O. Khazhmuradov, M.A. 2023-12-10T16:54:28Z 2023-12-10T16:54:28Z 2023 Modeling of the substrate cooling system in the installation for the deposition of coatings by the gas plasma method / S.O. Martynov, O.A. Luchaninov, V.P. Lukyanova, S.I. Prokhorets, O.O. Slabospytska, M.A. Khazhmuradov // Problems of Atomic Science and Technology. — 2023. — № 3. — С. 72-75. — Бібліогр.: 2 назв. — англ. 1562-6016 PACS: 52.77.Fv; 81.15.Rs; 47.11.Df DOI: https://doi.org/10.46813/2023-145-072 https://nasplib.isofts.kiev.ua/handle/123456789/196143 The efficiency of diamond coating synthesis depends on both the parameters of the plasma flow and the uniform temperature distribution on the surface of the substrate on which the coating is synthesized. Mathematical modeling of the substrate cooling system in the installation for the deposition of coatings by the gas plasma method was carried out in order to find optimal parameters at which high density and radial uniformity of energy and chemically active particle flows are simultaneously achieved on the substrate in the process of synthesis of diamond coatings. The task was solved by direct search methods using the FlowSimulation module of the SolidWorks package. Ефективність синтезу алмазного покриття залежить від параметрів плазмового потоку й однорідного розподілу температури на поверхні підложки, на якій здійснюється синтез покриття. Проведено математичне моделювання системи охолодження підложки в установці для осадження покриттів газоплазмовим методом з метою знаходження оптимальних параметрів, при яких як висока щільність, так і радіальна однорідність енергії і хімічно активних потоків частинок одночасно досягаються на підложки в процесі синтезу алмазних покриттів. Завдання вирішувалося методами прямого пошуку із використанням модуля FlowSimulation пакета SolidWorks. en Національний науковий центр «Харківський фізико-технічний інститут» НАН України Problems of Atomic Science and Technology Computational and model systems Modeling of the substrate cooling system in the installation for the deposition of coatings by the gas plasma method Моделювання системи охолодження підложки в установці для осадження покриттів газоплазмовим методом Article published earlier |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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Modeling of the substrate cooling system in the installation for the deposition of coatings by the gas plasma method |
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Modeling of the substrate cooling system in the installation for the deposition of coatings by the gas plasma method Martynov, S.O. Luchaninov, O.A. Lukyanova, V.P. Prokhorets, S.I. Slabospytska, O.O. Khazhmuradov, M.A. Computational and model systems |
| title_short |
Modeling of the substrate cooling system in the installation for the deposition of coatings by the gas plasma method |
| title_full |
Modeling of the substrate cooling system in the installation for the deposition of coatings by the gas plasma method |
| title_fullStr |
Modeling of the substrate cooling system in the installation for the deposition of coatings by the gas plasma method |
| title_full_unstemmed |
Modeling of the substrate cooling system in the installation for the deposition of coatings by the gas plasma method |
| title_sort |
modeling of the substrate cooling system in the installation for the deposition of coatings by the gas plasma method |
| author |
Martynov, S.O. Luchaninov, O.A. Lukyanova, V.P. Prokhorets, S.I. Slabospytska, O.O. Khazhmuradov, M.A. |
| author_facet |
Martynov, S.O. Luchaninov, O.A. Lukyanova, V.P. Prokhorets, S.I. Slabospytska, O.O. Khazhmuradov, M.A. |
| topic |
Computational and model systems |
| topic_facet |
Computational and model systems |
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2023 |
| language |
English |
| container_title |
Problems of Atomic Science and Technology |
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Національний науковий центр «Харківський фізико-технічний інститут» НАН України |
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Article |
| title_alt |
Моделювання системи охолодження підложки в установці для осадження покриттів газоплазмовим методом |
| description |
The efficiency of diamond coating synthesis depends on both the parameters of the plasma flow and the uniform temperature distribution on the surface of the substrate on which the coating is synthesized. Mathematical modeling of the substrate cooling system in the installation for the deposition of coatings by the gas plasma method was carried out in order to find optimal parameters at which high density and radial uniformity of energy and chemically active particle flows are simultaneously achieved on the substrate in the process of synthesis of diamond coatings. The task was solved by direct search methods using the FlowSimulation module of the SolidWorks package.
Ефективність синтезу алмазного покриття залежить від параметрів плазмового потоку й однорідного розподілу температури на поверхні підложки, на якій здійснюється синтез покриття. Проведено математичне моделювання системи охолодження підложки в установці для осадження покриттів газоплазмовим методом з метою знаходження оптимальних параметрів, при яких як висока щільність, так і радіальна однорідність енергії і хімічно активних потоків частинок одночасно досягаються на підложки в процесі синтезу алмазних покриттів. Завдання вирішувалося методами прямого пошуку із використанням модуля FlowSimulation пакета SolidWorks.
|
| issn |
1562-6016 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/196143 |
| citation_txt |
Modeling of the substrate cooling system in the installation for the deposition of coatings by the gas plasma method / S.O. Martynov, O.A. Luchaninov, V.P. Lukyanova, S.I. Prokhorets, O.O. Slabospytska, M.A. Khazhmuradov // Problems of Atomic Science and Technology. — 2023. — № 3. — С. 72-75. — Бібліогр.: 2 назв. — англ. |
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72 ISSN 1562-6016. Problems of Atomic Science and Technology. 2023. №3(145)
COMPUTATIONAL AND MODEL SYSTEMS
https://doi.org/10.46813/2023-145-072
MODELING OF THE SUBSTRATE COOLING SYSTEM
IN THE INSTALLATION FOR THE DEPOSITION
OF COATINGS BY THE GAS PLASMA METHOD
S.O. Martynov, O.A. Luchaninov, V.P. Lukyanova, S.I. Prokhorets,
O.O. Slabospytska, M.A. Khazhmuradov
National Science Center “Kharkov Institute of Physics and Technology”,
Kharkiv, Ukraine
E-mail: khazhm@kipt.kharkov.ua; sprokhorets@gmail.com
The efficiency of diamond coating synthesis depends on both the parameters of the plasma flow and the uniform
temperature distribution on the surface of the substrate on which the coating is synthesized. Mathematical modeling
of the substrate cooling system in the installation for the deposition of coatings by the gas plasma method was
carried out in order to find optimal parameters at which high density and radial uniformity of energy and chemically
active particle flows are simultaneously achieved on the substrate in the process of synthesis of diamond coatings.
The task was solved by direct search methods using the FlowSimulation module of the SolidWorks package.
PACS: 52.77.Fv; 81.15.Rs; 47.11.Df
INTRODUCTION
Plasma coating refers to advanced technologies that
allow to increase the reliability and durability of
machine parts and tools with high efficiency. The main
purpose of these technologies is to ensure high wear and
corrosion resistance of the surfaces of parts, restoration
of the dimensions of worn surfaces of parts due to the
application of coatings on them
The advantages of plasma coating include the
possibility of the widest variety of materials, the
minimum possible heating of the substrate, a small zone
of thermal influence, the possibility of coating in all
positions.
This technology allows you to apply multi-
component coatings made of various materials and
diamond-like structures, designed to protect the working
surfaces of parts, tools and equipment from wear,
erosion, the influence of the external environment,
increase heat resistance, etc.
One of the most promising are diamond coatings,
which are characterized by strength, hardness, high
modulus of elasticity, low coefficient of linear thermal
expansion, high thermal conductivity, good tribological
properties, as well as erosion, thermal and chemical
resistance. These properties allow them to be used in
various industries, in particular, to increase the
reliability and durability of machine parts and tools.
The efficiency of the synthesis of the diamond
coating is determined by the parameters of the plasma
flow and the thermal regime of the substrate where the
coating is deposited (Fig. 1).
The optimal conditions are the temperature of the
surface of the substrate in the range of 800…900°С,
while the uniformity of the thickness of the coating
depends on the uniformity of the temperature
distribution over the surface of the substrate. With a
given thermal power of the plasma flow, the optimal
thermal regime of the substrate can be ensured by
selecting the parameters of the cooling system.
Fig. 1. Scheme of the deposition process of diamond
coatings
The aim of the work: search for optimal parameters
of the cooling system of the substrate of the gas plasma
deposition of diamond coatings, which ensure a uniform
temperature distribution of the surface of the substrate
in a given range and the efficiency of the synthesis of
the diamond coating.
1. OPTIMIZATION OF THE COOLING
SYSTEM OF THE SUBSTRATE
The geometric model of the cooling system for
being optimized is shown at Fig. 2 [1, 6].
The substrate, a molybdenum disk with a diameter
of 40 mm, is attached to the end of the cooling collector
in the form of a hollow cylinder with a diameter of
40 mm. The water cooling cavity has the shape of a
cylinder with a diameter of 20 mm, ending with a
spherical top. The coolant (water) is fed into the cavity
through a tube measuring 6×0.5 mm; made of stainless
steel. The ambient temperature is 20°C, the integral
thermal power of the plasma flow is 5000 W.
mailto:khazhm@kipt.kharkov.ua
mailto:sprokhorets@gmail.com
ISSN 1562-6016. Problems of Atomic Science and Technology. 2023. №3(145) 73
Fig. 2. Geometrical model of the substrate cooling
unit: 1 – molybdenum substrate (disk with a diameter of
40 mm); 2 – cooling collector; 3 – coolant supply tube
(stainless steel 6×0.5 mm); 4 – coolant (water)
The optimization task was solved as a mathematical
programming task ‒ finding the extremum of the
objective function by varying the controlled parameters
within the permissible range
( )
x
x D
extrF X
, ,/XD
0)x(,0)x(x
where )X(F – goal function (temperature distribution
over the surface of the molybdenum substrate along the
radius); X is a vector of controlled parameters (the
thickness of the molybdenum substrate is 1 and 0.1 mm;
the material of the cooling collector is copper, zinc,
steel; the water flow rate in the cooling collector is 1,
0.5, 0.08, 0.012 l/s; gap (from the top of the sphere of
the water cooling cavity to the substrate) – 2 mm,
0.2 mm; )x( ; )x( – restriction functions
(temperature range ~ 800…900С);
x
D – admissible
area in the space of controlled parameters; the heat flux
density distribution over the surface of the substrate is
uniform or Gaussian.
The task was solved by direct search methods using
the FlowSimulation module of the SolidWorks license
package.
2. MODELING RESULTS
When studying the influence of the collector
material on the goal function, calculations were made
for stainless steel and copper. In Figs. 3 and 4 it is
shown the temperature distribution over the surface of
the substrate for the case of a stainless steel cooling
collector and two options for the distribution of the
thermal power density of the plasma flow: uniform or
Gaussian.
Fig. 3. The material of the collector is steel. Heat distribution is uniform. Water consumption – 1 l/s
Fig. 4. The material of the collector is steel. Gaussian distribution of heat. Water consumption – 1 l/s.
The gap is 0.2 mm
74 ISSN 1562-6016. Problems of Atomic Science and Technology. 2023. №3(145)
In both variants, the temperature distribution over
the substrate is nonuniform, and for a Gaussian flow
ΔТ/Т=1.1, and the maximum temperature falls on the
center of the substrate, and for a uniform flow
ΔТ/Т=0.5, and the temperature reaches its highest value
at the periphery. The same regularity is observed in the
case of a copper collector: the temperature distribution
is more uniform for a uniform plasma flow.
The effect of the flow rate of the cooling liquid on
the target function can be seen in Figs. 5 and 6, it can be
seen that reducing the flow rate from 0.5 l/s to 0.08 l/s
slightly improves the uniformity of the temperature
distribution over the surface of the substrate, but at the
same time, the maximum temperature value deviates
more from the optimal range.
Fig. 5. Collector material copper Gaussian heat distribution. Water consumption – 0.5 l/s. ΔT/T=1.5
Fig. 6. The material of the collector is copper. Gaussian distribution of heat.
Water consumption – 0.08 l/s. ΔT/T=1.1
Removing the water-cooling cavity from the
substrate (increasing the gap) makes it possible to
reduce the unevenness of the temperature distribution
by reducing its maximum, but both the maximum and
minimum values remain far outside the optimal range
(compare Figs. 5 and 7).
The analysis of the results shows that the
distribution of the thermal power density of the plasma
flow has the greatest influence on the objective
function. With a uniform flow, it is possible to achieve
that the temperature of all points of the surface of the
substrate falls into the optimal range, while there
remains some inhomogeneity of the temperature
distribution along the radius (ΔТ/Т=0.06), which is
much smaller than in all the options considered (Fig. 8).
Fig. 7. The material of the collector is copper, the gap is 2 mm. Gaussian distribution of heat.
The thickness of molybdenum is 0.1 mm. Water consumption ‒ 0.5 l/s. ΔT/T=1.1
ISSN 1562-6016. Problems of Atomic Science and Technology. 2023. №3(145) 75
Fig. 8. The collector material is copper. The heat flux power density is uniform.
Water consumption – 0.012 l/s. ΔT/T=0.06
As follows from the above, in order to achieve the
best uniformity of temperature distribution over the
surface of the substrate, the cooling system in the
considered geometric model must satisfy the following
parameters:
– the collector material is copper;
– a gap of 2 mm;
– the thickness of the molybdenum substrate is
0.1 mm;
– water consumption 0.012 l/s.
With a uniform distribution of the power density of
the plasma flow, the surface temperature is
805…850°C.
A further reduction of the inhomogeneity of the
temperature distribution on the surface of the
molybdenum substrate in the considered geometric
model of the cooling system can be achieved by
providing additional heating of the outer part of the
cooling collector to a temperature of ~ 800°C, or in the
case of using a collector made of a composite material
with variable thermal conductivity along the radius.
3. CONCLUSIONS
Computer modeling of the substrate cooling system
in the installation for the deposition of diamond coating
by the gas plasma method was carried out. The plasma
stream falls on a substrate located at the end of a metal
cylinder, in the cavity of which a cooling liquid (water)
flows.
Modeling showed that in the case of a uniform
distribution of the power density of the plasma flow, it
is possible to ensure the uniformity of the temperature
distribution over the surface of the substrate in the range
of 805…850°C.
Varying the parameters of the cooling system
showed that the best temperature uniformity is achieved
with a water consumption of 0.012 l/s; copper water
cooling collector; the thickness of the molybdenum
substrate is 0.1 mm.
At the same time, the inhomogeneity of the
temperature distribution by radius is ΔТ/Т=0.06.
The obtained results are of practical importance for
the creation of highly efficient technologies for the
synthesis of diamond coatings.
REFERENCES
1. С.А. Мартынов, А.А. Лучанинов, В.П. Лукья-
нова, М.А. Хажмурадов. Оптимизация теплового
режима подложки при вакуумно-плазменном
осаждении алмазных покрытий // Тезисы
докладов ХVI Конференции по физике высоких
энергий, ядерной физике и ускорителям.
Харьков, ННЦ ХФТИ, 20-23 марта 2018 г., с. 62.
2. С.А. Мартынов, В.П. Лукьянова, А.А. Лучани-
нов, М.А. Хажмурадов. Оптимизация системы
охлаждения молибденовой подложки установки
газоплазменного напыления // Радиоэлектроника
и информатика. 2018, №3, с. 5-7.
Article received 01.02.2023
МОДЕЛЮВАННЯ СИСТЕМИ ОХОЛОДЖЕННЯ ПІДЛОЖКИ В УСТАНОВЦІ
ДЛЯ ОСАДЖЕННЯ ПОКРИТТІВ ГАЗОПЛАЗМОВИМ МЕТОДОМ
С.О. Мартинов, О.А. Лучанінов, В.П. Лук'янова, С.І. Прохорець,
О.О. Слабоспицька, М.А. Хажмурадов
Ефективність синтезу алмазного покриття залежить від параметрів плазмового потоку й однорідного
розподілу температури на поверхні підложки, на якій здійснюється синтез покриття. Проведено
математичне моделювання системи охолодження підложки в установці для осадження покриттів
газоплазмовим методом с ціллю знаходження оптимальних параметрів, при яких як висока щільність, так і
радіальна однорідність енергії і хімічно активних потоків частинок одночасно досягаються на підложки в
процесі синтезу алмазних покриттів. Завдання вирішувалося методами прямого пошуку із використанням
модуля FlowSimulation пакета SolidWorks.
|