On the transport properties of a nonideal plasma of underwater discharges
It is considered the peculiarities of the transport properties of a nonideal plasma of underwater discharges at pressure range from 1 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 plas...
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irk-123456789-909512016-01-07T03:02:02Z On the transport properties of a nonideal plasma of underwater discharges Starchyk, P.D. Porytskyy, P.V. Низкотемпературная плазма и плазменные технологии It is considered the peculiarities of the transport properties of a nonideal plasma of underwater discharges at pressure range from 1 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. Розглянуто особливості транспортних властивостей неідеальної плазми підводних розрядів 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, що отримані за допомогою метода Чепмена-Енскоґа. Наголошено необхідність взяття до уваги ефектів неідеальності плазми для розрахунку властивостей плазми підводних розрядів. 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. 2011 Article On the transport properties of a nonideal plasma of underwater discharges / P.D. Starchyk, P.V. Porytskyy // Вопросы атомной науки и техники. — 2011. — № 1. — С.140-142. — 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 http://dspace.nbuv.gov.ua/handle/123456789/90951 en Вопросы атомной науки и техники Національний науковий центр «Харківський фізико-технічний інститут» НАН України |
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Низкотемпературная плазма и плазменные технологии Низкотемпературная плазма и плазменные технологии |
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Низкотемпературная плазма и плазменные технологии Низкотемпературная плазма и плазменные технологии Starchyk, P.D. Porytskyy, P.V. On the transport properties of a nonideal plasma of underwater discharges Вопросы атомной науки и техники |
| description |
It is considered the peculiarities of the transport properties of a nonideal plasma of underwater discharges at
pressure range from 1 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. |
| format |
Article |
| author |
Starchyk, P.D. Porytskyy, P.V. |
| author_facet |
Starchyk, P.D. Porytskyy, P.V. |
| author_sort |
Starchyk, P.D. |
| title |
On the transport properties of a nonideal plasma of underwater discharges |
| title_short |
On the transport properties of a nonideal plasma of underwater discharges |
| title_full |
On the transport properties of a nonideal plasma of underwater discharges |
| title_fullStr |
On the transport properties of a nonideal plasma of underwater discharges |
| title_full_unstemmed |
On the transport properties of a nonideal plasma of underwater discharges |
| title_sort |
on the transport properties of a nonideal plasma of underwater discharges |
| publisher |
Національний науковий центр «Харківський фізико-технічний інститут» НАН України |
| publishDate |
2011 |
| topic_facet |
Низкотемпературная плазма и плазменные технологии |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/90951 |
| citation_txt |
On the transport properties of a nonideal plasma of underwater discharges / P.D. Starchyk, P.V. Porytskyy // Вопросы атомной науки и техники. — 2011. — № 1. — С.140-142. — Бібліогр.: 15 назв. — англ. |
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Вопросы атомной науки и техники |
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2025-07-06T19:07:56Z |
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2025-07-06T19:07:56Z |
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1836925716281688064 |
| fulltext |
140 PROBLEMS OF ATOMIC SCIENCE AND TECHNOLOGY. 2011. № 1.
Series: Plasma Physics (17), p. 140-142.
ON THE TRANSPORT PROPERTIES OF A NONIDEAL PLASMA
OF UNDERWATER DISCHARGES
P.D. Starchyk, P.V. Porytskyy
Institute for Nuclear Research of NASU, Kiev, 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 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
1. 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 up to 200 bar.
2. 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 13 species have been taken into account: e-,
H2O, H2O+, H2, H2
+, OH, OH+, O2, O2+, H, H+, O, O+.
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.
3. 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. Thus, the viscosity peaks (Figs.5,6) are
caused by the dissociation and the presence of minor
additions of ions in gases at weakly ionization.
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 (Figs. 1, 3, 5). On the other hand at higher
pressure the essential discrepancy takes place
(Figs. 2, 4, 6). 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. 1. Electrical conductivity of water plasma
( =1 bar). Curves 1-Loretzian model (LM); p
2- zero-density model (ZM); 3- dense model (DM);
4- data from [14]
Fig. 2. Electrical conductivity of dense water plasma
( =200 bar). Curves: 1-LM; 2- ZM; 3-DM p
Fig. 3. Thermal conductivity of water plasma ( =1 bar).
Curves: 1-LM; 2- ZM; 3-DM; 4- data from [14]; 5- [13];
6-[15]
p
Fig. 4. Thermal conductivity of dense water plasma
( p =200 bar). Curves 1-LM, 2- ZM, 3-DM
Fig. 5. Viscosity of water plasma ( =1 bar). Curves: 1-
LM; 2—DM; 3- data from [14]; 4- [13]; 5 -[15]
p
Fig. 6. Viscosity of dense water plasma ( =200 bar).
Curves: 1-LM; 2-DM
p
4. 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
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
should be born in mind that Lorentzian plasma model on
the one hand takes into account the kinetic effects and on
the other hand is characterized by relative simplicity,
which allows its use for direct computation of the
properties of plasma in the simulation of arc and pulse
underwater discharges at normal pressure.
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.& Techn. Ser.
“Plasma Phys”. 1999, N 3(3)/4, p.256-258.
141
142
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.& Techn. Ser. “Plasma Phys” (11), 2005, N 2,
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.
4. E. Gidalevich, R.L. Boxman. Steady-state model of an
arc discharge in flowing water // Plasma Sources Sci. &
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.& Techn. Ser. “Plasma
Phys” (14). 2008, N 6, 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
Multicomponent Plasma. NY: “Taylor&Francis”. 2002.
8. Y.T. Lee, R.M. More. An electron conductivity model
for dense plasmas // Phys. Fluids. 1984, v. 27, N 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, N 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,
N 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, N 4, p. 42705.
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, N 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, N 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,
N 2, p. 149-171.
15. N.B. Vargaftik. Handbook on thermophysical
properties of gases and liquids. M.: “Nauka”, 1972
(In Russian).
Article received 17.09.10
О ТРАНСПОРТНЫХ СВОЙСТВАХ НЕИДЕАЛЬНОЙ ПЛАЗМЫ ПОДВОДНЫХ РАЗРЯДОВ
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 ТРАНСПОРТНІ ВЛАСТИВОСТІ НЕІДЕАЛЬНОЇ ПЛАЗМИ ПІДВОДНИХ РОЗРЯДІВ
П.Д. Старчик, П.В. Порицький
Розглянуто особливості транспортних властивостей неідеальної плазми підводних розрядів 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, що отримані за допомогою метода Чепмена-Енскоґа. Наголошено необхідність
взяття до уваги ефектів неідеальності плазми для розрахунку властивостей плазми підводних розрядів.
P.D. Starchyk, P.V. Porytskyy
REFERENCES
О ТРАНСПОРТНЫХ СВОЙСТВАХ НЕИДЕАЛЬНОЙ ПЛАЗМЫ ПОДВОДНЫХ РАЗРЯДОВ
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 ТРАНСПОРТНІ ВЛАСТИВОСТІ НЕІДЕАЛЬНОЇ ПЛАЗМИ ПІДВОДНИХ РОЗРЯДІВ
П.Д. Старчик, П.В. Порицький
Розглянуто особливості транспортних властивостей неідеальної плазми підводних розрядів 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, що отримані за допомогою метода Чепмена-Енскоґа. Наголошено необхідність взяття до уваги ефектів неідеальності плазми для розрахунку властивостей плазми підводних розрядів.
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