РЕГРЕСИВНІ РІВНЯННЯ ДЛЯ РОЗРАХУНКУ РОЗЧИННОСТІ ВОДНЮ В РІДКИХ ПАЛИВАХ
The efficiency of combustion of liquid fuels in heat engines is determined by their hydrocarbon composition. The rate of combustion and the completeness of combustion depend on  the  hydrocarbon composition of the fuel. One of the ways to increase the efficiency of combusti...
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| author | Leybovych, Lev Yevstigneyev, Yurii |
| author_facet | Leybovych, Lev Yevstigneyev, Yurii |
| author_institution_txt_mv | [
{
"author": "Lev Leybovych",
"institution": "The Admiral Makarov National University of Shipbuilding. Nikolaev, Prospekt Geroev Ukrainy, 9, 54025"
},
{
"author": "Yurii Yevstigneyev",
"institution": "The Admiral Makarov National University of Shipbuilding. Nikolaev, Prospekt Geroev Ukrainy, 9, 54025"
}
] |
| author_sort | Leybovych, Lev |
| baseUrl_str | https://ucj.org.ua/index.php/journal/oai |
| collection | OJS |
| datestamp_date | 2026-07-22T08:23:42Z |
| description | The efficiency of combustion of liquid fuels in heat engines is determined by their hydrocarbon composition. The rate of combustion and the completeness of combustion depend on  the  hydrocarbon composition of the fuel. One of the ways to increase the efficiency of combustion of fuel is to use fuel-hydrogen mixtures. The use of such mixtures gives prerequisites for low-temperature self-ignition of fuel droplets (about 590 °C). Preheating of the fuel gives the possibility of "explosive" combustion with increasing of the temperature up to 2500 K in 0.02 –. 0.04 ms. This leads to the intensification of heavy fuel combustion. The use of fuel-hydrogen mixtures allows to obtain a low level of harmful emissions with flue gases and to reduce emissions: CO and CH – not less than 15%, CO2 – not less than 20%. A promising direction for the creation of such mixtures is the direct dissolution of hydrogen in liquid fuel. This simplifies the flow of the fuel-hydrogen mixture into the combustion chamber of the heat engine or into the cylinders of the internal combustion engines. Analysis of previous studies showed the possibility of obtaining a single form of regression dependence for calculations of the dissolution of hydrogen in liquid fuels. The processing of the literature data and the results of our own research gave a set of regression equations for calculating the solubility of hydrogen in liquid fuels: gas, diesel, fuel oil, LVGO, HVGO, GDAR, ABVB. The obtained regression dependencies show that with increasing average molecular weight the solubility of hydrogen in the fuel decreases. These regression dependencies make it possible to obtain baseline data for the design of fuel systems for supplying fuel and hydrogen mixtures to combustion chambers of heat engines. Studies of hydrogen-diesel have shown a decrease in the flash fuel temperature by 10 – 15 oC by comparison with pure fuel. For heavy fuels, this level of reduction of the fuel round is not sufficient. Therefore, it is necessary to conduct further studies on the intensification of the process of dissolution of hydrogen in heavy fuels. This will significantly reduce energy costs for the organization of the combustion process. |
| doi_str_mv | 10.33609/0041-6045.85.11.2019.110-116 |
| first_indexed | 2025-09-24T17:43:22Z |
| format | Article |
| fulltext |
Фізична хімія
110 ISSN 0041-6045. УКР . ХІМ . ЖУРН ., 2019, т . 85, No 12
UDC 541.49 : 546.284’161-32 : 547.826.1 doi 10.33609/0041-6045.85.12.2019.110-116
L.I. Leybovych ,* Y.V.Yevstigneyev
REGRESSION EQUATIONS FOR CALCULATING THE SOLUBILITY OF
HYDROGEN IN LIQUID FUELS
The Admiral Makarov National University of Shipbuilding,
Geroev Ukrainy Avenue, 9, Mykolayiv, 54025, Ukraine
*e-mail: recycle.lev@gmail.com
The efficiency of combustion of liquid fuels in heat engines is determined by their
hydrocarbon composition. The rate of combustion and the completeness of combustion
depend on the hydrocarbon composition of the fuel. One of the ways to increase the
efficiency of combustion of fuel is to use fuel-hydrogen mixtures. The use of such
mixtures gives prerequisites for low-temperature self- ignition of fuel droplets (about 590
°C). Preheating of the fuel gives the possibility of "explosive" combustion with
increasing of the temperature up to 2500 K in 0.02 –. 0.04 ms. This leads to the
intensification of heavy fuel combustion. The use of fuel-hydrogen mixtures allows to
obtain a low level of harmful emissions with flue gases and to reduce emissions: CO and
CH – not less than 15%, CO2 – not less than 20%. A promising direction for the creation
of such mixtures is the direct dissolution of hydrogen in liquid fuel. This simplifies the
flow of the fuel-hydrogen mixture into the combustion chamber of the heat engine or
into the cylinders of the internal combustion engines. Analysis of previous studies
showed the possibility of obtaining a single form of regression dependence for
calculations of the dissolution of hydrogen in liquid fuels. The processing of the
literature data and the results of our own research gave a set of regression equations for
calculating the solubility of hydrogen in liquid fuels: gas, diesel, fuel oil, LVGO,
HVGO, GDAR, ABVB. The obtained regression dependencies show that with
increasing average molecular weight the solubility of hydrogen in the fuel decreases.
These regression dependencies make it possible to obtain baseline data for the design of
fuel systems for supplying fuel and hydrogen mixtures to combustion chambers of heat
engines. Studies of hydrogen-diesel have shown a decrease in the flash fuel temperature
by 10 – 15 oC by comparison with pure fuel. For heavy fuels, this level of reduction of
the fuel round is not sufficient. Therefore, it is necessary to conduct further studies on
the intensification of the process of dissolution of hydrogen in heavy fuels. This will
significantly reduce energy costs for the organization of the combustion process.
K e y w o r d s: hydrogen, fuel, solubility, regression dependences.
INTRODUCTION. The combustion effi-
ciency of liquid fuels in thermal installations
is determined primarily by the hydrocarbon
composition of the fuel. The combustion rate
© L.I. Leybovych , Y.V.Yevstigneyev, 2019
mailto:recycle.lev@gmail.com
Regression equations for calculating the solubility of hydrogen in liquid fuels
ISSN 0041-6045. УКР . ХІМ . ЖУРН ., 2019, т . 85, No 12 111
and completeness of combustion depend on
the hydrocarbon composition of the fuel.
Therefore, the intensification of fuel com-
bustion processes is an urgent task to im-
prove the efficiency of heat engines.
One way to solve this problem is to use
hydrogen-fuel mixtures [1]. The experi-
mental results show that at low concentra-
tions of hydrogen in fuel – air mixtures an
abnormal increase in the completeness of
fuel combustion is observed. The intensifica-
tion of the combustion processes of fuel - air
mixtures with hydrogen additives is con-
firmed by the data [2–4].
Research [1–4] was conducted on inter-
nal combustion engines, in which the fuel
supply system was modernized. Hydrogen
was supplied to the engine cylinders simul-
taneously with the supply of liquid fuel. This
required the provision of a hydrogen pres-
sure in the supply system exceeding the
pressure of compressed air in the cylinder.
This reduces the reliability of the internal
combustion engine.
The obtained data [1] on the intensifica-
tion of the process of burning liquid fuel
with small additions of hydrogen to the fuel
– air mixture allow us to make an assump-
tion about the possibility of using fuel-
hydrogen mixtures in heat engines. In this
case, we can consider the process of obtain-
ing fuel-hydrogen mixtures by pre-
dissolving hydrogen in fuel. This simplifies
the supply of fuel-hydrogen mixture to the
combustion chamber of a heat engine or to
the internal combustion engine cylinders.
Studies of the solubility of hydrogen in
liquid fuel [5–10] allow us to conclude that
the use of fuel-hydrogen mixtures in heat
engines is promising. However, the process
of dissolving hydrogen in liquid fuel is not
well understood. The possibility of using
hydrogen-fuel mixtures in heat engines re-
quires additional research.
The solubility of hydrogen in liquid fuel
substantially depends on the hydrocarbon
and fractional compositions of the fuel. The-
se parameters depend on the oil field and the
characteristics of the rectification process. In
addition, the constant hydrocarbon and frac-
tional composition of the fuel is extremely
difficult to ensure during operation of the
heat engine. Therefore, it is advisable to
have integral characteristics for estimating
the amount of hydrogen dissolved in liquid
fuel when it is saturated with hydrogen.
The aim of the work is to obtain regres-
sion dependences for calculating the satura-
tion of light fuels (diesel fuel and kerosene)
with hydrogen at atmospheric pressure and a
temperature of up to 60 °C.
EXPERIMENT AND DISCUSSION OF
THE RESULTS. Liquid fuel is a multicompo-
nent mixture of organic substances Henry's
law [11] for a multicomponent mixture, tak-
ing into account the Wohl’s expansion [12],
can be represented as:
2 1 21 3 23 13 1 3ln( ) ln( ) ln( ) aMH x H x H x x= ⋅ + ⋅ − ⋅ ⋅ (1)
where H2,M – Henry's constant for a gas 2;
x1 and x2 – share of solvents 1 and 3 in the
mixture, respectively; H21 and H23 – Henry's
constants for individual solvents, respective-
ly ; a13 – the interaction parameter of the
solvents from Wohl’s expansion of the ex-
cess chemical potential of the ternary mix-
tures.
Improving the modeling of hydrogen
solubility in heavy oil cuts using an Aug-
mented Grayson-Streed (AGS) approach
L.I. Leybovych , Y.V.Yevstigneyev
112 ISSN 0041-6045. УКР . ХІМ . ЖУРН ., 2019, т . 85, No 12
gives a significant deviation from experi-
mental data [7]. This is due to the difficulty
in determining the exact proportions of or-
ganic matter in the fuel.
Another important factor is the
achievement of an equilibrium state between
the gas and liquid phases. The intensity of
mass transfer between phases during the ab-
sorption of hydrogen by fuel is described by
Fick's law [13]:
( )dcJ D dn= ⋅ , (2)
where J is the diffusion flux; D is the diffu-
sion coefficient of hydrogen in fuel; c is the
concentration of hydrogen in fuel; n is posi-
tion in the fuel layer.
The rapid achievement of equilibrium
between the phases can be achieved with D
→ ∞ or contact time τ →∞ . Parameters (D
and τ) values cannot be reached equal to in-
finity in real experiments .Therefore, the ex-
periment time [10] was determined based on
the ratio of the dissolution time of a fixed
volume of hydrogen at the beginning τb of
the experiment to the time of dissolution of
the same volume of hydrogen at the end of
the experiment τe as τe /τb = 15 – based on
the recommendations [14].
The value of the dosed hydrogen volume
was taken equal to 0.01 + 0.0002 L. The
time of complete dissolution of hydrogen
bubbles was recorded. During the experi-
ment, the data obtained were entered into a
program for calculating the dynamics of hy-
drogen dissolution. As a result of the calcu-
lation, a graph of hydrogen solubility and a
regression dependence of solubility were ob-
tained. An example of processing experi-
mental data is shown in fig. 1: the abscissa
axis is the logarithm of the time of dissolu-
tion of hydrogen in the fuel (log(τ10)); the
ordinate axis is the logarithm is the amount
of dissolved hydrogen in the fuel (log(m1 ));
the vertical line is the predicted maximum
amount of hydrogen in the fuel.
Fig. 1. An example of processing experi-
mental data.
The graph (fig.1) showed the hydrogen
solubility curve and the predicted limit value
of the concentration of hydrogen in the fuel.
The experiment ended when the solubility of
hydrogen became equal to 0.97 from the
equilibrium.
Based on the foregoing, it becomes ap-
propriate to obtain regression equations for
calculating the solubility of hydrogen in
each fuel grade based on a regression analy-
sis of experimental data [6–8, 10] and own
experiments. Relevant physical properties
for these fuels are given in table 1.
The data on hydrogen solubility in fuels
(table 1) are summarized in the temperature
range T = 293 – 653 K and pressures P = 0 –
10 MPa by the following regression depend-
ence :
2
2
( , )
( ) 0 1 2
( ) 0 1 2
R P T A B
A T a a T a T
B P b b P b P
= ⋅
= + ⋅ + ⋅
= + ⋅ + ⋅
(3)
Regression equations for calculating the solubility of hydrogen in liquid fuels
ISSN 0041-6045. УКР . ХІМ . ЖУРН ., 2019, т . 85, No 12 113
T a b l e 1
Characterization of fuels and experimental conditions
Name of fuel, source Density,
kg / l T, K P, MPa
Kerosene (K) [6] 0.840 298 – 573 4.7 – 30
Fuel oil (FO) [6] 0.930 473 – 573 10.0 – 30
Light Virgin Gas Oil (LVGO) [7] 0.892 353 – 653 2.2 – 11
HeavyVirgin Gas Oil (HVGO) [7] 0.973 353 – 653 1.0 – 11
GuDao Atmospheric Residuum
(GDAR) [7]
0.922
353 – 653
0.9 – 11
Athabasca Bitumen Vacuum Bottoms
(ABVB) [7]
1.050
353 – 653
0.9 – 10
Diesel fuel (DF) [10] 0.847 295 – 333 Atmospheric
Fuel oil [10] 0.937 295 – 333 Atmospheric
T a b l e 2
The coefficients in equation (3)
Fuel a0 a1 a2 b0 b1 b2
K [6] 1.69 -7.0*10-3 1.19*10-5 0.55 0.46 1.54*10-3
FO[6],[10] 0.45 -2.75*10-3 5.9*10-6 2.00 0.55 5*10-3
LVGO [7] 3.4 -0,011 8.53*10-6 0.40 1.49 0,013
HVGO [7] 3.77 -0.011 7.88*10-6 0.40 0.77 0.042
GDAR [7] 2.6 -6.22*10-3 4.81*10-6 0.083 0.954 -0.036
ABVB [7] 3.7 -0,012 7.9*10-6 0.113 0.85 -0,026
DF [10] 3.3 -0.0105 8.2*10-6 0.45 1.49 0,013
T a b l e 3
The solubility of hydrogen in various fuels at atmospheric pressure and T = 298 K
Parameter K DF FO LVGO HVGO GDAR ABVB
Solubility, l/l 0.363 0.405 0.309 0359 0.198 0.097 0.099
Mean molar
mass, g/mol 162 144 310 250 350 1678 1700
The coefficients in equation (3) are shown
in table 2. The error in determining the
amount of hydrogen dissolved in the fuel ac-
cording to the given regression does not ex-
ceed + 8.3%. What is quite acceptable for
the predictive assessment and design of fuel
systems for such mixtures [15].
A graphical interpretation of experi-
mental data processing in the form of paired
regression (the dependence of hydrogen sol-
ubility on temperature and pressure) for
LVGO [7] is shown in fig. 2.
L.I. Leybovych , Y.V.Yevstigneyev
114 ISSN 0041-6045. УКР . ХІМ . ЖУРН ., 2019, т . 85, No 12
Fig.2. The dependence of hydrogen solubility on
temperature and pressure) for LVGO [7].
Table 3 presents data on the solubility of
hydrogen in various fuels at atmospheric
pressure and T = 298 K. The data in table 3
show that the solubility of hydrogen in the
liquid fuel depends on the average molecular
weight of the fuel. As the average molecular
weight of the fuel increases, the solubility of
hydrogen in it decreases. The amount of dis-
solved hydrogen in light grades of fuel is
quite sufficient to reduce the flash point by
10 – 15 K. Further increase of the concentra-
tion of hydrogen in light fuel is not appro-
priate based on the safety requirements of
the heat engine.
CONCLUSIONS. The obtained regression
equations allow us to predict the solubility of
hydrogen in liquid fuel. Light grades of fuel
do not require special preparation before the
process of dissolution of hydrogen at atmos-
pheric pressure.For heavy fuels it is neces-
sary to develop methods of intensification of
the process of dissolution of hydrogen in the
fuel.
РЕГРЕСИВНІ РІВНЯННЯ ДЛЯ РОЗРА-
ХУНКУ РОЗЧИННОСТІ
ВОДНЮ В РІДКИХ ПАЛИВАХ
Л.І.Лейбович*, Ю.В.Євстигнєєв
Національний університет кораблебудування
імені адмірала Макарова,. Миколаїв,
просп. Героїв України, 9, Миколаїв,
54025,Україна
*e-mail: recycle.lev@gmail.com
Ефективність горіння рідких палив у те-
плових установках визначається їх вуглевод-
невим складом. Від вуглеводневого складу
палива залежить швидкість його горіння і
повнота згорання. Одним із шляхів підви-
щення ефективності згорання палива є вико-
ристання паливно-водневих сумішей, що
створює передумови до виникнення низько-
температурного самозаймання крапель пали-
ва (близько 590 оС). Попередній розігрів па-
лива дає можливість виниканню «вибухо-
вого» горіння з підвищенням температури до
2500 К за 0,02 –. 0,04 мс. Це веде до
інтенсифікації згорання важких палив. Засто-
сування паливно-водневих сумішей дозволяє
отримати низький рівень шкідливих викидів
з димовими газами, і знизити викиди: СО і
СН не менше 15, СО2 – не менше 20 %. Пер-
спективним напрямком створення таких су-
мішей є пряме розчинення водню в рідкому
паливі. Це спрощує подачу паливно-водневої
суміші в камеру згорання теплового двигуна
або в циліндри двигунів внутрішнього зго-
рання. Аналіз попередніх досліджень показав
можливість отримання єдиної форми регре-
сійної залежності для розрахунків розчинен-
ня водню у рідких паливах. Обробка літера-
турних даних та результатів власних дослі-
джень дала сукупність регресійних рівнянь
для розрахунку розчинності водню в рідких
паливах: гасі, дизельному паливі, мазуті,
LVGO, HVGO, GDAR, ABVB, Отримані ре-
гресійні залежності показують, що з ростом
середньої молекулярної маси палива розчин-
ність водню в ньому знижується. Ці регре-
сійні залежності дозволяють одержати вихід-
ні дані для проектування паливних систем
подачі паливо-водневих сумішей у камери
mailto:recycle.lev@gmail.com
Regression equations for calculating the solubility of hydrogen in liquid fuels
ISSN 0041-6045. УКР . ХІМ . ЖУРН ., 2019, т . 85, No 12 115
згорання теплових машин. Дослідження на-
сиченого воднем дизельного палива показа-
ли зменшення температури початку спалаху
на 10 – 15 оС порівняно з чистим паливом.
Для тяжких палив такий рівень зменшення
температури палива недостатній. Тому не-
обхідно вести подальші дослідження по інте-
нсифікації процесу розчинення водню в важ-
ких паливах. Це значно знизить витрати ене-
ргії на організацію процесу горіння палива.
К л ю ч о в і с л о в а: водень, паливо, роз-
чинність, регресійна залежність.
РЕГРЕССИОННЫЕ УРАВНЕНИЯ ДЛЯ
РАСЧЕТА РАСТВОРИМОСТИ
ВОДОРОДА В ЖИДКИХ ТОПЛИВАХ
Л.И.Лейбович*, Ю.В.Евстигнеев
Национальный университет кораблестрое-
ния имени адмирала Макарова, Николаев,
просп. Героев Украины, 9, Николаев,
54025,Украина
*e-mail: recycle.lev@gmail.com
Эффективность горения жидких топлив в
тепловых установках определяется прежде
всего углеводородным составом топлива. От
углеводородного топлива зависит скорость
его горения и полнота сгорания. Поэтому ин-
тенсификация процессов горения топлива
является актуальной задачей повышения эф-
фективности тепловых двигателей. Одним из
путей повышения эффективности сгорания
топлива является использование топливно-
водородных смесей. Перспективным направ-
лением создания таких смесей является пря-
мое растворения водорода в жидком топливе.
Это упрощает подачу топливно-водородной
смеси в камеру сгорания теплового двигателя
или в цилиндры ДВС. Анализ литературных
данных и результатов собственных исследо-
ваний показал возможность получения сово
купности регрессионных уравнений для рас-
чета растворимости водорода в жидких топ-
ливах: керосине, дизельном топливе, мазуте,
LVGO, HVGO, GDAR, ABVB, анализ полу-
ченных регрессионной зависимости показал,
что с ростом средней молекулярной массы
топлива растворимость водорода в нем сни-
жается. Полученные регрессионные зависи-
мости позволяют получить исходные данные
для проектирования топливных систем пода-
чи топливно-водородных смей в тепловые
машины.
К л ю ч е в ы е с л о в а : водород, топливо,
растворимость, регрессионная зависимость.
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https://books.google.com/books?id=-fWeXMwX1x8C
https://books.google.com/books?id=-fWeXMwX1x8C
https://books.google.com/books?id=-fWeXMwX1x8C
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| id | oai:ojs2.1444248.nisspano.web.hosting-test.net:article-108 |
| institution | Ukrainian Chemistry Journal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-07-23T01:01:03Z |
| publishDate | 2019 |
| publisher | V.I.Vernadsky Institute of General and Inorganic Chemistry |
| record_format | ojs |
| resource_txt_mv | ucjorgua/25/14629967246ac5e943465ae9f154c325.pdf |
| spelling | oai:ojs2.1444248.nisspano.web.hosting-test.net:article-1082026-07-22T08:23:42Z REGRESSION EQUATIONS FOR CALCULATING THE SOLUBILITY OF HYDROGEN IN LIQUID FUELS РЕГРЕССИОННЫЕ УРАВНЕНИЯ ДЛЯ РАСЧЕТА РАСТВОРИМОСТИ ВОДОРОДА В ЖИДКИХ ТОПЛИВАХ РЕГРЕСИВНІ РІВНЯННЯ ДЛЯ РОЗРАХУНКУ РОЗЧИННОСТІ ВОДНЮ В РІДКИХ ПАЛИВАХ Leybovych, Lev Yevstigneyev, Yurii hydrogen, fuel, solubility, regression dependences. The efficiency of combustion of liquid fuels in heat engines is determined by their hydrocarbon composition. The rate of combustion and the completeness of combustion depend on  the  hydrocarbon composition of the fuel. One of the ways to increase the efficiency of combustion of fuel is to use fuel-hydrogen mixtures. The use of such mixtures gives prerequisites for low-temperature self-ignition of fuel droplets (about 590 °C). Preheating of the fuel gives the possibility of "explosive" combustion with increasing of the temperature up to 2500 K in 0.02 –. 0.04 ms. This leads to the intensification of heavy fuel combustion. The use of fuel-hydrogen mixtures allows to obtain a low level of harmful emissions with flue gases and to reduce emissions: CO and CH – not less than 15%, CO2 – not less than 20%. A promising direction for the creation of such mixtures is the direct dissolution of hydrogen in liquid fuel. This simplifies the flow of the fuel-hydrogen mixture into the combustion chamber of the heat engine or into the cylinders of the internal combustion engines. Analysis of previous studies showed the possibility of obtaining a single form of regression dependence for calculations of the dissolution of hydrogen in liquid fuels. The processing of the literature data and the results of our own research gave a set of regression equations for calculating the solubility of hydrogen in liquid fuels: gas, diesel, fuel oil, LVGO, HVGO, GDAR, ABVB. The obtained regression dependencies show that with increasing average molecular weight the solubility of hydrogen in the fuel decreases. These regression dependencies make it possible to obtain baseline data for the design of fuel systems for supplying fuel and hydrogen mixtures to combustion chambers of heat engines. Studies of hydrogen-diesel have shown a decrease in the flash fuel temperature by 10 – 15 oC by comparison with pure fuel. For heavy fuels, this level of reduction of the fuel round is not sufficient. Therefore, it is necessary to conduct further studies on the intensification of the process of dissolution of hydrogen in heavy fuels. This will significantly reduce energy costs for the organization of the combustion process. V.I.Vernadsky Institute of General and Inorganic Chemistry 2019-12-16 Article Article Physical chemistry Физическая xимия Фізична xімія application/pdf https://ucj.org.ua/index.php/journal/article/view/108 10.33609/0041-6045.85.11.2019.110-116 Ukrainian Chemistry Journal; Vol. 85 No. 12 (2019): Ukrainian Chemistry Journal; 110-116 Украинский химический журнал; ##issue.vol## 85 ##issue.no## 12 (2019): Украинский химический журнал; 110-116 Український хімічний журнал; Том 85 № 12 (2019): Український хімічний журнал; 110-116 2708-129X 2708-1281 en https://ucj.org.ua/index.php/journal/article/view/108/72 Copyright (c) 2019 Lev Leybovych, Yurii Yevstigneyev https://creativecommons.org/licenses/by-nc/4.0 |
| spellingShingle | Leybovych, Lev Yevstigneyev, Yurii РЕГРЕСИВНІ РІВНЯННЯ ДЛЯ РОЗРАХУНКУ РОЗЧИННОСТІ ВОДНЮ В РІДКИХ ПАЛИВАХ |
| title | РЕГРЕСИВНІ РІВНЯННЯ ДЛЯ РОЗРАХУНКУ РОЗЧИННОСТІ ВОДНЮ В РІДКИХ ПАЛИВАХ |
| title_alt | REGRESSION EQUATIONS FOR CALCULATING THE SOLUBILITY OF HYDROGEN IN LIQUID FUELS РЕГРЕССИОННЫЕ УРАВНЕНИЯ ДЛЯ РАСЧЕТА РАСТВОРИМОСТИ ВОДОРОДА В ЖИДКИХ ТОПЛИВАХ |
| title_full | РЕГРЕСИВНІ РІВНЯННЯ ДЛЯ РОЗРАХУНКУ РОЗЧИННОСТІ ВОДНЮ В РІДКИХ ПАЛИВАХ |
| title_fullStr | РЕГРЕСИВНІ РІВНЯННЯ ДЛЯ РОЗРАХУНКУ РОЗЧИННОСТІ ВОДНЮ В РІДКИХ ПАЛИВАХ |
| title_full_unstemmed | РЕГРЕСИВНІ РІВНЯННЯ ДЛЯ РОЗРАХУНКУ РОЗЧИННОСТІ ВОДНЮ В РІДКИХ ПАЛИВАХ |
| title_short | РЕГРЕСИВНІ РІВНЯННЯ ДЛЯ РОЗРАХУНКУ РОЗЧИННОСТІ ВОДНЮ В РІДКИХ ПАЛИВАХ |
| title_sort | регресивні рівняння для розрахунку розчинності водню в рідких паливах |
| topic_facet | hydrogen fuel solubility regression dependences. |
| url | https://ucj.org.ua/index.php/journal/article/view/108 |
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