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  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher-id">journal</journal-id>

      <journal-title-group>
        <journal-title>Вестник Объединенного института высоких температур</journal-title>
        <abbrev-journal-title abbrev-type="publisher">Вестник ОИВТ РАН</abbrev-journal-title>
      </journal-title-group>

      <issn pub-type="epub">2658-669X</issn>

      <publisher>
        <publisher-name>ОИВТ РАН</publisher-name>
      </publisher>
    </journal-meta>

    <article-meta>
      <article-id pub-id-type="publisher-id">256</article-id>
      <article-id pub-id-type="doi"></article-id>

      <title-group>
        <article-title>Эффект частоты искрового разряда при воздействии на пленку воды вблизи выходного отверстия форсунки</article-title>
        <trans-title-group xml:lang="en">
          <trans-title>
            Effect of spark discharge frequency on water film near nozzle outlet
          </trans-title>
        </trans-title-group>
      </title-group>

      <contrib-group>
        <contrib contrib-type="author">
          <name-alternatives>
            <name xml:lang="ru">
              <surname>Савельев</surname>
              <given-names>Андрей Сергеевич</given-names>
            </name>
            <name xml:lang="en">
              <surname>Saveliev</surname>
              <given-names>A.S</given-names>
            </name>
          </name-alternatives>
          <xref ref-type="aff" rid="id1">ОИВТ РАН</xref>
        </contrib>

        <contrib contrib-type="author">
          <name-alternatives>
            <name xml:lang="ru">
              <surname>Куликов</surname>
              <given-names>Юрий Матвеевич</given-names>
            </name>
            <name xml:lang="en">
              <surname>Kulikov</surname>
              <given-names>Yu.M.</given-names>
            </name>
          </name-alternatives>
          <xref ref-type="aff" rid="id2">ОИВТ РАН</xref>
        </contrib>

        <contrib contrib-type="author">
          <name-alternatives>
            <name xml:lang="ru">
              <surname>Панов</surname>
              <given-names>Владислав Александрович</given-names>
            </name>
            <name xml:lang="en">
              <surname>Panov</surname>
              <given-names>V.A.</given-names>
            </name>
          </name-alternatives>
          <xref ref-type="aff" rid="id3">ОИВТ РАН</xref>
        </contrib>

      </contrib-group>

      <aff-alternatives id="id1">
        <aff xml:lang="ru">
          <label>ОИВТ РАН</label>
          <institution>Объединенный институт высоких температур РАН (Москва, Россия)</institution>
          <addr-line>Москва, Россия</addr-line>
        </aff>
        <aff xml:lang="en">
          <label>JIHT RAS</label>
          <institution>Joint Institute for High Temperatures of the Russian Academy of Sciences (Moscow, Russia)</institution>
          <addr-line>Moscow, Russia</addr-line>
        </aff>
      </aff-alternatives>

      <aff-alternatives id="id2">
        <aff xml:lang="ru">
          <label>ОИВТ РАН</label>
          <institution>Объединенный институт высоких температур РАН (Москва, Россия)</institution>
          <addr-line>Москва, Россия</addr-line>
        </aff>
        <aff xml:lang="en">
          <label>JIHT RAS</label>
          <institution>Joint Institute for High Temperatures of the Russian Academy of Sciences (Moscow, Russia)</institution>
          <addr-line>Moscow, Russia</addr-line>
        </aff>
      </aff-alternatives>

      <aff-alternatives id="id3">
        <aff xml:lang="ru">
          <label>ОИВТ РАН</label>
          <institution>Объединенный институт высоких температур РАН (Москва, Россия)</institution>
          <addr-line>Москва, Россия</addr-line>
        </aff>
        <aff xml:lang="en">
          <label>JIHT RAS</label>
          <institution>Joint Institute for High Temperatures of the Russian Academy of Sciences (Moscow, Russia)</institution>
          <addr-line>Moscow, Russia</addr-line>
        </aff>
      </aff-alternatives>

      <pub-date publication-format="electronic" date-type="pub" pub-type="epub" iso-8601-date="2025-11-18">
        <day>18</day>
        <month>11</month>
        <year>2025</year>
      </pub-date>

      <volume>18</volume>
      <issue>1</issue>
      <fpage>4</fpage>
      <lpage>8</lpage>

      <abstract xml:lang="ru">
        <p>Исследовано влияние частоты следования импульсов искрового разряда, инициируемого вблизи выходного отверстия вихревой форсунки, на угол раскрытия факела распыла, граница которого представляет собой поверхность конуса. Показано, что инициирование разряда на оси форсунки между выходным отверстием и внешним электродом, расположенным на расстоянии 2~мм ниже по потоку, приводит к увеличению угла раскрытия за счет воздействия волнами сжатия. Длительность импульса искрового разряда~--- порядка 1~мкс, максимальное напряжение в электрической схеме его инициирования~--- 13~кВ. В исследованном диапазоне частот от 100~Гц до 20~кГц обнаружен максимум увеличения полного угла раскрытия факела вблизи выходного отверстия при 10~кГц, составляющий 20$ ^{ circ} $ (с 45$ ^{ circ} $ до 65$ ^{ circ} $,  +45 %), при этом основной рост угла наблюдается в диапазоне 100--3000~Гц. Наблюдаемый эффект наиболее вероятно связан с соотношением между периодом следования импульсов ($ T_1 $) и временем (от момента ее разрушения разрядом) роста пленки жидкости ($ T_2 $) вблизи выходного отверстия форсунки до начала ее распада на лигаменты и капли: при $ T_1  gg T_2 $ эффект искового воздействия выражен слабо, т.к. б &apos;{о}льшую часть времени воздействие волн сжатия на пленку жидкости отсутствует; при $ T_1  sim T_2 $ разряд воздействует на максимальную площадь пленки и всю расходуемую через форсунку жидкость; при $ T_1 &lt; T_2 $ площадь пленки сокращается, но еще возможно увеличение передаваемого импульса давления; при $ T_1  ll T_2 $ пленка жидкости не успевает удлиниться, разряд воздействует только на часть вблизи выходного отверстия, где ее толщина слишком велика для распада.</p>
      </abstract>

      <abstract xml:lang="en" abstract-type="summary">
        <p>The effect of the pulse repetition rate of a spark discharge initiated near the outlet of a vortex nozzle on the spray angle, the boundary of which is a cone-shaped surface, was studied.
It was shown that initiating the discharge on the nozzle axis between the outlet and an external electrode located 2 mm downstream leads to an increase in the spray angle due to the action of compression waves.
The spark discharge pulse duration is approximately 1 μs, and the maximum voltage in the electrical circuit activating it is 13 kV.
In the studied frequency range from 100 Hz to 20 kHz, a maximum increase in the total torch opening angle near the outlet was found at 10 kHz, amounting to 20$ ^{ circ} $ (from 45$ ^{ circ} $ to 65$ ^{ circ} $, +45%), with the main increase in the angle observed in the range of 100--3000 Hz.
The observed effect is most likely associated with the relationship between the pulse repetition period ($ T_1 $) and the time (from the moment of its destruction by the discharge) of liquid film growth ($ T_2 $) near the nozzle outlet until the beginning of its disintegration into ligaments and droplets:
at $ T_1  gg T_2 $ the effect of the discharge action is weakly expressed, since most of the time the effect of compression waves on the liquid film is absent; at $ T_1  sim T_2 $ the discharge affects the maximum area of ​​the film and all the liquid expelled through the nozzle; at $ T_1 &lt; T_2 $ the area of ​​the film decreases, but an increase in the transmitted pressure pulse is still possible; at $ T_1  ll T_2 $ the liquid film does not have time to lengthen, the discharge affects only the part near the outlet, where its thickness is too great to disintegrate.</p>
      </abstract>

      <kwd-group kwd-group-type="author-keywords" xml:lang="ru">
        <kwd>спрей-разряд</kwd>
        <kwd>форсунка</kwd>
        <kwd>искровой разряд</kwd>
        <kwd>капли</kwd>
        <kwd>вода</kwd>
        <kwd>конус распыла</kwd>
      </kwd-group>

      <kwd-group kwd-group-type="author-keywords" xml:lang="en">
        <kwd>spray discharge</kwd>
        <kwd>nozzle</kwd>
        <kwd>spark discharge</kwd>
        <kwd>drops</kwd>
        <kwd>water</kwd>
        <kwd>spray cone</kwd>
      </kwd-group>

    </article-meta>
  </front>
  <back>
    <ref-list>
      <ref id="ref1">
        <mixed-citation publication-type="other" xml:lang="ru">
          Rayleigh L. // Proceedings of the London Mathematical Society. — 1878. — Vol. s1-10. — No. 1. — P. 4–13         
        </mixed-citation>
        <mixed-citation publication-type="other" xml:lang="en">
          Rayleigh L. // Proceedings of the London Mathematical Society. — 1878. — Vol. s1-10. — No. 1. — P. 4–13         
        </mixed-citation>
      </ref>
      <ref id="ref2">
        <mixed-citation publication-type="other" xml:lang="ru">
          Tyler E. // The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science. — 1933. — Vol. 16. — No. 105. — P. 504–518         
        </mixed-citation>
        <mixed-citation publication-type="other" xml:lang="en">
          Tyler E. // The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science. — 1933. — Vol. 16. — No. 105. — P. 504–518         
        </mixed-citation>
      </ref>
      <ref id="ref3">
        <mixed-citation publication-type="other" xml:lang="ru">
          Lefebvre A. H., McDonell V. G. Atomization and Sprays. — : Boca Raton: CRC Press, 2017         
        </mixed-citation>
        <mixed-citation publication-type="other" xml:lang="en">
          Lefebvre A. H., McDonell V. G. Atomization and Sprays. — : Boca Raton: CRC Press, 2017         
        </mixed-citation>
      </ref>
      <ref id="ref4">
        <mixed-citation publication-type="other" xml:lang="ru">
          Ashgriz N. Handbook of Atomization and Sprays: Theory and Applications. — : New York: Springer US, 2011         
        </mixed-citation>
        <mixed-citation publication-type="other" xml:lang="en">
          Ashgriz N. Handbook of Atomization and Sprays: Theory and Applications. — : New York: Springer US, 2011         
        </mixed-citation>
      </ref>
      <ref id="ref5">
        <mixed-citation publication-type="other" xml:lang="ru">
          Lozano A., Call C. J., Dopazo C. An experimental and numerical study of the atomization of a planar liquid sheet // Proceedings of the Sixth International Conference on Liquid Atomization and Spray Systems. — : Begellhouse, 2023. — С. 24–31         
        </mixed-citation>
        <mixed-citation publication-type="other" xml:lang="en">
          Lozano A., Call C. J., Dopazo C. An experimental and numerical study of the atomization of a planar liquid sheet // Proceedings of the Sixth International Conference on Liquid Atomization and Spray Systems. — : Begellhouse, 2023. — S. 24–31         
        </mixed-citation>
      </ref>
      <ref id="ref6">
        <mixed-citation publication-type="other" xml:lang="ru">
          Carvalho I., Heitor M., Santos D. // International Journal of Multiphase Flow. — 2002. — Vol. 28. — No. 5. — P. 773–789         
        </mixed-citation>
        <mixed-citation publication-type="other" xml:lang="en">
          Carvalho I., Heitor M., Santos D. // International Journal of Multiphase Flow. — 2002. — Vol. 28. — No. 5. — P. 773–789         
        </mixed-citation>
      </ref>
      <ref id="ref7">
        <mixed-citation publication-type="other" xml:lang="ru">
          Faeth G. // Progress in Energy and Combustion Science. — 1987. — Vol. 13. — No. 4. — P. 293–345         
        </mixed-citation>
        <mixed-citation publication-type="other" xml:lang="en">
          Faeth G. // Progress in Energy and Combustion Science. — 1987. — Vol. 13. — No. 4. — P. 293–345         
        </mixed-citation>
      </ref>
      <ref id="ref8">
        <mixed-citation publication-type="other" xml:lang="ru">
          Taylor G. // Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences. — 1959. — Vol. 253. — No. 1274. — P. 313–321         
        </mixed-citation>
        <mixed-citation publication-type="other" xml:lang="en">
          Taylor G. // Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences. — 1959. — Vol. 253. — No. 1274. — P. 313–321         
        </mixed-citation>
      </ref>
      <ref id="ref9">
        <mixed-citation publication-type="other" xml:lang="ru">
          Vasilyev A. Y., Domrina E. S., Kaufman S. V., Maiorova A. I. // Journal of Physics: Conference Series. — 2019. — Vol. 1359. — No. 1. — P. 012131         
        </mixed-citation>
        <mixed-citation publication-type="other" xml:lang="en">
          Vasilyev A. Y., Domrina E. S., Kaufman S. V., Maiorova A. I. // Journal of Physics: Conference Series. — 2019. — Vol. 1359. — No. 1. — P. 012131         
        </mixed-citation>
      </ref>
      <ref id="ref10">
        <mixed-citation publication-type="other" xml:lang="ru">
          Gong J., Fan W., Peng J. // International Journal of Precision Agricultural Aviation. — 2019. — Vol. 2. — No. 1. — P. 26–30         
        </mixed-citation>
        <mixed-citation publication-type="other" xml:lang="en">
          Gong J., Fan W., Peng J. // International Journal of Precision Agricultural Aviation. — 2019. — Vol. 2. — No. 1. — P. 26–30         
        </mixed-citation>
      </ref>
      <ref id="ref11">
        <mixed-citation publication-type="other" xml:lang="ru">
          Inoue C., Watanabe T., Himeno T. Liquid Sheet Dynamics and Primary Breakup Characteristics at Impingement Type Injector // 45th AIAA/ASME/SAE/ASEE Joint Propulsion Conference, 2009. — С. AIAA 2009-5041         
        </mixed-citation>
        <mixed-citation publication-type="other" xml:lang="en">
          Inoue C., Watanabe T., Himeno T. Liquid Sheet Dynamics and Primary Breakup Characteristics at Impingement Type Injector // 45th AIAA/ASME/SAE/ASEE Joint Propulsion Conference, 2009. — S. AIAA 2009-5041         
        </mixed-citation>
      </ref>
      <ref id="ref12">
        <mixed-citation publication-type="other" xml:lang="ru">
          Zhao L. (., Moiz A. A., Naber J., Lee S. Y., Barros S., Atkinson W. High-Speed Spray-to-Spray Collision Study on Two-Hole Impinging Jet Nozzles // SAE Technical Paper Series. — : SAE International, 2015. — Т. 1 из ANNUAL. — С. 2015-01-0948         
        </mixed-citation>
        <mixed-citation publication-type="other" xml:lang="en">
          Zhao L. (., Moiz A. A., Naber J., Lee S. Y., Barros S., Atkinson W. High-Speed Spray-to-Spray Collision Study on Two-Hole Impinging Jet Nozzles // SAE Technical Paper Series. — : SAE International, 2015. — T. 1 iz ANNUAL. — S. 2015-01-0948         
        </mixed-citation>
      </ref>
      <ref id="ref13">
        <mixed-citation publication-type="other" xml:lang="ru">
          Wang P., Yang W. // Advances in Mechanical Engineering. — 2023. — Vol. 15. — No. 9. — P. 16878132231195016         
        </mixed-citation>
        <mixed-citation publication-type="other" xml:lang="en">
          Wang P., Yang W. // Advances in Mechanical Engineering. — 2023. — Vol. 15. — No. 9. — P. 16878132231195016         
        </mixed-citation>
      </ref>
      <ref id="ref14">
        <mixed-citation publication-type="other" xml:lang="ru">
          Kudryashova O., Shalunov A., Genne D., Dorovskikh R., Titov S. // Applied Sciences. — 2023. — Vol. 13. — No. 22. — P. 12330         
        </mixed-citation>
        <mixed-citation publication-type="other" xml:lang="en">
          Kudryashova O., Shalunov A., Genne D., Dorovskikh R., Titov S. // Applied Sciences. — 2023. — Vol. 13. — No. 22. — P. 12330         
        </mixed-citation>
      </ref>
      <ref id="ref15">
        <mixed-citation publication-type="other" xml:lang="ru">
          Dighe S., Gadgil H. // Journal of Fluid Mechanics. — 2019. — Vol. 880. — P. 653–683         
        </mixed-citation>
        <mixed-citation publication-type="other" xml:lang="en">
          Dighe S., Gadgil H. // Journal of Fluid Mechanics. — 2019. — Vol. 880. — P. 653–683         
        </mixed-citation>
      </ref>
      <ref id="ref16">
        <mixed-citation publication-type="other" xml:lang="ru">
          Dighe S. L., Gadgil H. P. Effect of Transverse Acoustic Perturbation on the Liquid Sheet Breakup // AIAA Scitech 2020 Forum. — : American Institute of Aeronautics and Astronautics, 2020. — С. AIAA 2020-2283         
        </mixed-citation>
        <mixed-citation publication-type="other" xml:lang="en">
          Dighe S. L., Gadgil H. P. Effect of Transverse Acoustic Perturbation on the Liquid Sheet Breakup // AIAA Scitech 2020 Forum. — : American Institute of Aeronautics and Astronautics, 2020. — S. AIAA 2020-2283         
        </mixed-citation>
      </ref>
      <ref id="ref17">
        <mixed-citation publication-type="other" xml:lang="ru">
          Dighe S., Gadgil H. // International Journal of Multiphase Flow. — 2022. — Vol. 156. — P. 104226         
        </mixed-citation>
        <mixed-citation publication-type="other" xml:lang="en">
          Dighe S., Gadgil H. // International Journal of Multiphase Flow. — 2022. — Vol. 156. — P. 104226         
        </mixed-citation>
      </ref>
      <ref id="ref18">
        <mixed-citation publication-type="other" xml:lang="ru">
          Mulmule A. S., Tirumkudulu M., Ananthkrishnan N., Ramamurthy K. Liquid sheet instability in the presence of acoustic forcing // 43rd AIAA/ASME/SAE/ASEE Joint Propulsion Conference. — : American Institute of Aeronautics and Astronautics, 2007. — С. AIAA 2007-5688         
        </mixed-citation>
        <mixed-citation publication-type="other" xml:lang="en">
          Mulmule A. S., Tirumkudulu M., Ananthkrishnan N., Ramamurthy K. Liquid sheet instability in the presence of acoustic forcing // 43rd AIAA/ASME/SAE/ASEE Joint Propulsion Conference. — : American Institute of Aeronautics and Astronautics, 2007. — S. AIAA 2007-5688         
        </mixed-citation>
      </ref>
      <ref id="ref19">
        <mixed-citation publication-type="other" xml:lang="ru">
          Aravind I. B., Bhattacharjee R. R., Chakravarthy S. R. // International Conference on Liquid Atomization and Spray Systems (ICLASS). — 2021. — Vol. 1. — No. 1. — P. 399         
        </mixed-citation>
        <mixed-citation publication-type="other" xml:lang="en">
          Aravind I. B., Bhattacharjee R. R., Chakravarthy S. R. // International Conference on Liquid Atomization and Spray Systems (ICLASS). — 2021. — Vol. 1. — No. 1. — P. 399         
        </mixed-citation>
      </ref>
      <ref id="ref20">
        <mixed-citation publication-type="other" xml:lang="ru">
          Савельев А. С., Угрюмов А. В. // Прикладная физика. — 2024. — Vol. 5. — P. 33–39         
        </mixed-citation>
        <mixed-citation publication-type="other" xml:lang="en">
          Savelev A. S., Ugryumov A. V. // Prikladnaya fizika. — 2024. — Vol. 5. — P. 33–39         
        </mixed-citation>
      </ref>
      <ref id="ref21">
        <mixed-citation publication-type="other" xml:lang="ru">
          Савельев А. С., Куликов Ю. М., Панов В. А. // Вестник ОИВТ РАН. — 2025. — Vol. 17. — P. 7–10         
        </mixed-citation>
        <mixed-citation publication-type="other" xml:lang="en">
          Savelev A. S., Kulikov Yu. M., Panov V. A. // Vestnik OIVT RAN. — 2025. — Vol. 17. — P. 7–10         
        </mixed-citation>
      </ref>
      <ref id="ref22">
        <mixed-citation publication-type="other" xml:lang="ru">
          Библиотека OpenCV для Python, v. 4.12.0         
        </mixed-citation>
        <mixed-citation publication-type="other" xml:lang="en">
          Biblioteka OpenCV dlya Python, v. 4.12.0         
        </mixed-citation>
      </ref>
      <ref id="ref23">
        <mixed-citation publication-type="other" xml:lang="ru">
          Библиотека NumPy для Python, v. 2.3.0         
        </mixed-citation>
        <mixed-citation publication-type="other" xml:lang="en">
          Biblioteka NumPy dlya Python, v. 2.3.0         
        </mixed-citation>
      </ref>
    </ref-list>
  </back>

</article>