On the peculiarities of the transport properties of multicomponent nonideal plasma of underwater discharges at high pressure
It is considered the peculiarities of the transport properties of a nonideal plasma of underwater discharges at pressure range from 1 bar up to 200 bar. The transport coefficient set based on the Grad’s method is compared with the data obtained by using of the Lorentzian plasma theory at the same pl...
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Національний науковий центр «Харківський фізико-технічний інститут» НАН України
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| Cite this: | On the peculiarities of the transport properties of multicomponent nonideal plasma of underwater discharges at high pressure / P.D. Starchyk, P.V. Porytskyy // Вопросы атомной науки и техники. — 2015. — № 1. — С. 249-251. — Бібліогр.: 15 назв. — англ. |
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| citation_txt | On the peculiarities of the transport properties of multicomponent nonideal plasma of underwater discharges at high pressure / P.D. Starchyk, P.V. Porytskyy // Вопросы атомной науки и техники. — 2015. — № 1. — С. 249-251. — Бібліогр.: 15 назв. — англ. |
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| description | It is considered the peculiarities of the transport properties of a nonideal plasma of underwater discharges at pressure range from 1 bar up to 200 bar. The transport coefficient set based on the Grad’s method is compared with the data obtained by using of the Lorentzian plasma theory at the same plasma composition. Also, the calculation data are considered to be in reference with transport coefficients obtained by using the Chapman-Enskog’ method. It is pointed that the nonideality effects are needed to take into consideration under calculation of properties of underwater discharge.
Рассмотрены особенности транспортных свойств неидеальной плазмы подводных разрядов в диапазоне давлений 1…200 бар. Транспортные коэффициенты, которые рассчитывались на основе метода Грэда, сравниваются с результатами, полученными исходя из лоренцевой теории при одинаковом составе плазмы. Также результаты вычислений сравниваются с данными, полученными методом Чепмена-Энскога. Подчеркивается необходимость принятия во внимание эффектов неидеальности при расчете свойств подводных разрядов.
Розглянуто особливості транспортних властивостей неідеальної плазми підводних розрядів у воді в діапазоні тисків 1…200 бар. Транспортні коефіцієнти, що були розраховані на основі методу Ґреда, порівняно із результатами, які ґрунтувалися на лоренцевій теорії за однакового складу плазми. Також результати обчислень порівнювалися із даними, отриманими за допомогою метода Чепмена-Енскоґа. Наголошено на необхідність взяття до уваги ефектів неідеальності плазми для розрахунку властивостей плазми підводних розрядів.
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ISSN 1562-6016. ВАНТ. 2015. №1(95)
PROBLEMS OF ATOMIC SCIENCE AND TECHNOLOGY. 2015, № 1. Series: Plasma Physics (21), p. 249-251. 249
ON THE PECULIARITIES OF THE TRANSPORT PROPERTIES OF
MULTICOMPONENT NONIDEAL PLASMA OF UNDERWATER
DISCHARGES AT HIGH PRESSURE
P.D. Starchyk, P.V. Porytskyy
Institute for Nuclear Research of NASU, Kyiv, Ukraine
E-mails: starchik@kinr.kiev.ua , poryts@kinr.kiev.ua
It is considered the peculiarities of the transport properties of a nonideal plasma of underwater discharges at
pressure range from 1 bar up to 200 bar. The transport coefficient set based on the Grad’s method is compared with
the data obtained by using of the Lorentzian plasma theory at the same plasma composition. Also, the calculation
data are considered to be in reference with transport coefficients obtained by using the Chapman-Enskog’ method. It
is pointed that the nonideality effects are needed to take into consideration under calculation of properties of
underwater discharge.
PACS: 52.25.Fi ,52.25.Qt, 52.27.Fg, 52.27.Gr, 52.50.Nr, 52.70.Kz,52.77.Fv, 52.80.Wq
INTRODUCTION
Over the last decades a substantial growth has
occurred in technological applications and researching
of underwater discharges (arcs and electrical pulse
discharges) [1-5]. The most important influence on the
plasma of underwater discharges has the processes in a
zone of its contact with condensed medium.
At the initial stage of electrical pulse discharges
(EPD) small-scale irregularities of heat flow distribution
were detected on a surface of channels [1, 2].
Development of such perturbations was accompanied by
space modulation of an irradiation intensity, strain of a
surface of channels, drop of conductance of plasma.
These excitations are connected with the development of
Rayleigh-Taylor instability. Thus in EPD it may be
realized the two different regimes of discharges the first
is characterized by developed perturbation and the
second is the discharges without it.
Because of that the nonideal plasma of EPD takes
place in various dense states. Also, that picture is
established in underwater arc discharges. In this paper it
is studied the peculiarities of the transport properties of
the nonideal plasma of underwater discharges in the
pressure range from 1 bar up to 200 bar.
1. METHOD TO CALCULATE TRANSPORT
PROPERTIES
It is considered the calculation of transport
coefficients (thermal conductivity, viscosity, electrical
conductivity) in dense water plasma. The most
important factors determined the properties are the
following: gaseous and plasma non-idealities,
multicomponent contents. To include the factors into
consideration the combined calculation procedure is
used on the base of the Grad’s method [6, 7] and Lee-
More theory [8]. The non-ideality corrections to
equation of state are made according to [9-11].
The obtained results are compared with the previous
calculations based on the Lorentzian theory (LM) [5,
12]. Also, the calculation data are considered to be in
reference with transport coefficients obtained by using
the Chapman-Enskog method [13,14] and reference data
[15].
The algorithm of calculation consists of three stages.
At the first time it is needed to obtain the
multicomponent plasma composition under certain
pressure and temperature. This problem leads to the
system of Saha equations with lowering of ionization
energies supplemented by conservation of nuclei and
electric charge. The calculations are carried out, and the
following 16 species have been taken into account: e
-
,
H2O, H2O
+
, H2, H2
+
, OH, OH
+
, O2, O2
+
, H, H
+
, O, O
+
.
Cu,Cu
+
,Cu
2+
.
Having been obtained plasma composition, the
thermodynamic and transport properties of plasma can
be calculated in the , so-called, zero-density model (ZM)
i.e. without consideration of the nonideality effects. At
next stage the nonideality corrections are included to
obtain the set corresponding to the dense model (DM).
A number of the properties are very interested in the
connection of intended use to simulate underwater
discharges. Therefore it is focused attention upon such
properties.
2. RESULTS AND THEIR DISCUSSIONS
The results of calculations are shown in Figs.1-6.
One can see that the properties of dense water plasma
have a pronounced non-monotone character with sharp
pikes in certain temperature and pressure ranges. The
pikes are appeared due to the dissociation, ionization
and from others effects. The metal impurities are
appeared in the discharge plasma due to the various
circumstances. The influence of the metal admixtures
causes the very important changes of the plasma
properties (see Figs. 3, 6). It is obvious that the presence
of impurities cause the growth of conductivity and
energy density in plasma.
250 ISSN 1562-6016. ВАНТ. 2015. №1(95)
Fig. 1.Electrical conductivity of water plasma
( p =1 bar). Curves 1 Loretzian model (LM);
2 zero-density model (ZM); 3 dense model (DM);
4 data from [14]
Fig. 2. Electrical conductivity of dense water plasma
( p =200 bar). Curves 1 LM; 2 ZM; 3 DM
Fig. 3. Electrical conductivity of equimolar mixture of
copper-water plasma ( p =1 bar). Curves 1 pure
water (ZM); 2 H2O–Cu (99:1); 3 H2O–Cu (90:10);
4 H2O–Cu (10:90)
It should be mentioned that the plasma composition
is the same as used in paper [5] that it is allowed to
compare both the Grad method approach with the
Lorentzian theory. The results have a similar character
at normal pressure (see Figs. 1, 4). On the other hand at
higher pressure the essential discrepancy takes place
(see Figs. 2, 5). One can be deduced that the effects of
nonideality have influence on the transport coefficients
mainly in more dense conditions and the Lorentzian
theory is suitable to calculate the transport properties of
multicomponent plasma at relatively low temperature
and normal pressure.
Also, one can see that the calculations of some
properties are in a good agreement with the data from
[13-15] at normal pressure. The results may be
distinguished due to the various initial data for
calculation.
Fig. 4. Thermal conductivity of water plasma
( p =1 bar). Curves 1 LM; 2 ZM; 3 DM;
4 data from [14]; 5 [13]; 6 [15]
Fig. 5. Thermal conductivity of dense water plasma
( p =200 bar). Curves 1 LM; 2 ZM; 3 DM
Fig. 6. Thermal conductivity of equimolar mixture of
copper-water plasma ( p =1 bar). Curves 1 pure
water (ZM); 2 H2O–Cu (99:1); 3 H2O–Cu (90:10);
4 H2O–Cu (10:90)
CONCLUSIONS
The properties of dense water plasma of underwater
discharges are essentially depended on both the
temperature and pressure conditions. The properties
have a pronounced non-monotone character with sharp
pikes in certain temperature ranges.
The calculations are carried out on the base of the
Grad’s method including the nonideality effects. At
atmospheric pressure the results are in a good agreement
with the previous calculations and data calculated on the
base of Chapman-Enskog’ method. On the other hand it
should be pointed that the nonideality effects are needed
ISSN 1562-6016. ВАНТ. 2015. №1(95) 251
to take into consideration under calculation of properties
of underwater discharge at high pressure.
The obtained results confirm the conclusion of paper
[12] that the Lorentzian theory is suitable to calculate
the transport properties of multicomponent plasma at
relatively low temperature and normal pressure.
Also, it is considered the influence of copper
admixtures on the transport properties of water plasma.
REFERENCES
1. A.V Kononov, P.V. Porytskyy, P.D. Starchyk, et al.
Hydrodynamical instabilities under electrical pulse
discharge in a liquid // Problems At. Sci. and Techn. Ser.
Plasma Phys. 1999, № 3(3)/4(4), p. 256-258.
2. P.D. Starchyk, P.V Porytskyy. On the stability of the
interface between dense plasma and liquid under
electrical pulse discharge in liquid medium // Problems
At. Sci. and Techn. Ser. Plasma Phys. 2005, № 2(11),
p. 179-181.
3. A. Grinenko, S. Efimov, A. Fedotov, Ya.E. Krasik,
I. Schnitzer. Efficiency of the shock wave generation
caused by underwater electricalwire explosion // J. Appl.
Phys. 2006, v. 100, p. 113509 (8 p.).
4. E. Gidalevich, R.L. Boxman. Steady-state model of
an arc discharge in flowing water // Plasma Sources Sci.
and Technol. 2006, v. 15, p.765-772.
5. P.D. Starchyk, P.V. Porytskyy. On the properties of
the nonideal plasma of electrical pulse discharge in
water // Problems At. Sci. and Techn. Ser. “Plasma
Phys”. 2008, № 6(14), p. 207-209.
6. H. Grad. On the kinetic theory of rarefied gases //
Comm. Pure and Appl. Math. 1949, v. 2, p. 331-407.
7. V.M. Zhdanov. Transport Processes in Multi-
component Plasma. NY: Taylor and Francis, 2002.
8. Y.T. Lee, R.M. More. An electron conductivity
model for dense plasmas // Phys.Fluids. 1984, v. 27,
№ 5, p. 1273-1286.
9. J.C. Rainwater, D.G. Friend. Second viscosity and
thermal conductivity virial coefficients of gases:
Extension to low reduced temperature // Phys. Rev. A.
1987, v. 36, № 8, p. 4062-4066.
10. F.M. Tao, E.A. Mason. Statistical-mechanical
equation of state for non-polar fluids: prediction of
phase boundaries // J. Chem. Phys. 1994, v. 100, № 12,
p. 9075-9087.
11. M.R. Zaghloul. A simple theoretical approach to
calculate electrical conductivity of nonideal copper
plasma // Phys. Plasmas. 2008, v. 15, № 4, p. 042705.
12. P. Porytsky, I. Krivtsun, V. Demchenko, U. Reisgen,
V. Mokrov, A. Zabirov. On the application of the theory
of Lorentzian plasma to calculation of transport
properties of multicomponent arc plasmas // Eur. Phys.
Journ. D. 2010, v. 57, № 1, p. 77-85.
13. P. Křenek. Thermophysical Properties of H2O-Ar
Plasmas at Temperatures 400-50000 K and Pressure
0.1 MPa // Plasma Chem. Plasma Process. 2008, v. 28,
№ 1, p. 107-122.
14. J. Aubreton, M.F. Elchinger, J.M. Vinson. Transport
Coefficients in Water Plasma: Part I: Equilibrium
Plasma // Plasma Chem. Plasma Process. 2009, v. 29,
№ 2, p. 149-171.
15. N.B. Vargaftik. Handbook on thermophysical
properties of gases and liquids. Moscow: ”Nauka”,
1972.
Article received 15.12.2014
ОБ ОСОБЕННОСТЯХ ТРАНСПОРТНЫХ СВОЙСТВ МНОГОКОМПОНЕНТНОЙ НЕИДЕАЛЬНОЙ
ПЛАЗМЫ ПОДВОДНЫХ РАЗРЯДОВ ПРИ ВЫСОКОМ ДАВЛЕНИИ
П.Д. Старчик, П.В. Порицкий
Рассмотрены особенности транспортных свойств неидеальной плазмы подводных разрядов в диапазоне
давлений 1…200 бар. Транспортные коэффициенты, которые рассчитывались на основе метода Грэда,
сравниваются с результатами, полученными исходя из лоренцевой теории при одинаковом составе плазмы.
Также результаты вычислений сравниваются с данными, полученными методом Чепмена-Энскога.
Подчеркивается необходимость принятия во внимание эффектов неидеальности при расчете свойств
подводных разрядов.
ПРО ОСОБЛИВОСТІ ТРАНСПОРТНИХ ВЛАСТИВОСТЕЙ БАГАТОКОМПОНЕНТНОЇ
НЕІДЕАЛЬНОЇ ПЛАЗМИ ПІДВОДНИХ РОЗРЯДІВ ЗА ВИСОКОГО ТИСКУ
П.Д. Старчик, П.В. Порицький
Розглянуто особливості транспортних властивостей неідеальної плазми підводних розрядів у воді в
діапазоні тисків 1…200 бар. Транспортні коефіцієнти, що були розраховані на основі методу Ґреда,
порівняно із результатами, які ґрунтувалися на лоренцевій теорії за однакового складу плазми. Також
результати обчислень порівнювалися із даними, отриманими за допомогою метода Чепмена-Енскоґа.
Наголошено на необхідність взяття до уваги ефектів неідеальності плазми для розрахунку властивостей
плазми підводних розрядів.
|
| id | nasplib_isofts_kiev_ua-123456789-82252 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1562-6016 |
| language | English |
| last_indexed | 2025-12-01T17:49:06Z |
| publishDate | 2015 |
| publisher | Національний науковий центр «Харківський фізико-технічний інститут» НАН України |
| record_format | dspace |
| spelling | Starchyk, P.D. Porytskyy, P.V. 2015-05-27T10:17:21Z 2015-05-27T10:17:21Z 2015 On the peculiarities of the transport properties of multicomponent nonideal plasma of underwater discharges at high pressure / P.D. Starchyk, P.V. Porytskyy // Вопросы атомной науки и техники. — 2015. — № 1. — С. 249-251. — Бібліогр.: 15 назв. — англ. 1562-6016 PACS: 52.25.Fi ,52.25.Qt, 52.27.Fg, 52.27.Gr, 52.50.Nr, 52.70.Kz,52.77.Fv, 52.80.Wq https://nasplib.isofts.kiev.ua/handle/123456789/82252 It is considered the peculiarities of the transport properties of a nonideal plasma of underwater discharges at pressure range from 1 bar up to 200 bar. The transport coefficient set based on the Grad’s method is compared with the data obtained by using of the Lorentzian plasma theory at the same plasma composition. Also, the calculation data are considered to be in reference with transport coefficients obtained by using the Chapman-Enskog’ method. It is pointed that the nonideality effects are needed to take into consideration under calculation of properties of underwater discharge. Рассмотрены особенности транспортных свойств неидеальной плазмы подводных разрядов в диапазоне давлений 1…200 бар. Транспортные коэффициенты, которые рассчитывались на основе метода Грэда, сравниваются с результатами, полученными исходя из лоренцевой теории при одинаковом составе плазмы. Также результаты вычислений сравниваются с данными, полученными методом Чепмена-Энскога. Подчеркивается необходимость принятия во внимание эффектов неидеальности при расчете свойств подводных разрядов. Розглянуто особливості транспортних властивостей неідеальної плазми підводних розрядів у воді в діапазоні тисків 1…200 бар. Транспортні коефіцієнти, що були розраховані на основі методу Ґреда, порівняно із результатами, які ґрунтувалися на лоренцевій теорії за однакового складу плазми. Також результати обчислень порівнювалися із даними, отриманими за допомогою метода Чепмена-Енскоґа. Наголошено на необхідність взяття до уваги ефектів неідеальності плазми для розрахунку властивостей плазми підводних розрядів. en Національний науковий центр «Харківський фізико-технічний інститут» НАН України Вопросы атомной науки и техники Низкотемпературная плазма и плазменные технологии On the peculiarities of the transport properties of multicomponent nonideal plasma of underwater discharges at high pressure Про особливості транспортних властивостей багатокомпонентної неідеальної плазми підводних розрядів за високого тиску Об особенностях транспортных свойств многокомпонентной неидеальной плазмы подводных разрядов при высоком давлении Article published earlier |
| spellingShingle | On the peculiarities of the transport properties of multicomponent nonideal plasma of underwater discharges at high pressure Starchyk, P.D. Porytskyy, P.V. Низкотемпературная плазма и плазменные технологии |
| title | On the peculiarities of the transport properties of multicomponent nonideal plasma of underwater discharges at high pressure |
| title_alt | Про особливості транспортних властивостей багатокомпонентної неідеальної плазми підводних розрядів за високого тиску Об особенностях транспортных свойств многокомпонентной неидеальной плазмы подводных разрядов при высоком давлении |
| title_full | On the peculiarities of the transport properties of multicomponent nonideal plasma of underwater discharges at high pressure |
| title_fullStr | On the peculiarities of the transport properties of multicomponent nonideal plasma of underwater discharges at high pressure |
| title_full_unstemmed | On the peculiarities of the transport properties of multicomponent nonideal plasma of underwater discharges at high pressure |
| title_short | On the peculiarities of the transport properties of multicomponent nonideal plasma of underwater discharges at high pressure |
| title_sort | on the peculiarities of the transport properties of multicomponent nonideal plasma of underwater discharges at high pressure |
| topic | Низкотемпературная плазма и плазменные технологии |
| topic_facet | Низкотемпературная плазма и плазменные технологии |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/82252 |
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