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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">kaz29</journal-id><journal-title-group><journal-title xml:lang="ru">Вестник Казахстанско-Британского технического университета</journal-title><trans-title-group xml:lang="en"><trans-title>Herald of the Kazakh-British Technical University</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1998-6688</issn><issn pub-type="epub">2959-8109</issn><publisher><publisher-name>Казахстанско-Британский Технический Университет</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.55452/1998-6688-2025-22-1-307-317</article-id><article-id custom-type="elpub" pub-id-type="custom">kaz29-1757</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ФИЗИЧЕСКИЕ НАУКИ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>PHYSICAL SCIENCES</subject></subj-group></article-categories><title-group><article-title>МОДЕЛИРОВАНИЕ ПРОЦЕССА ИЗМЕРЕНИЯ РАСХОДА ПУЛЬСИРУЮЩЕГО ПОТОКА ЖИДКОСТИ ЧЕРЕЗ РАСШИРЯЮЩЕЕ УСТРОЙСТВО</article-title><trans-title-group xml:lang="en"><trans-title>SIMULATION OF THE PROCESS OF MEASURING THE FLOW RATE OF A PULSATING LIQUID FLOW THROUGH AN EXPANDING DEVICE</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-7685-2862</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Даев</surname><given-names>Ж. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Dayev</surname><given-names>Zh. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p> PhD, профессор </p><p> г. Актобе </p></bio><bio xml:lang="en"><p> PhD, Professor </p><p> Aktobe </p></bio><email xlink:type="simple">zhand@yandex.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-4416-4782</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Кайракбаев</surname><given-names>А. К.</given-names></name><name name-style="western" xml:lang="en"><surname>Kairakbaev</surname><given-names>A. K.</given-names></name></name-alternatives><bio xml:lang="ru"><p> PhD, профессор </p><p> г. Актобе </p></bio><bio xml:lang="en"><p> PhD, Professor </p><p> Aktobe </p></bio><email xlink:type="simple">kairak@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru">Баишев Университет<country>Казахстан</country></aff><aff xml:lang="en">Baishev University<country>Kazakhstan</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2025</year></pub-date><pub-date pub-type="epub"><day>27</day><month>03</month><year>2025</year></pub-date><volume>22</volume><issue>1</issue><fpage>307</fpage><lpage>317</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Даев Ж.А., Кайракбаев А.К., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Даев Ж.А., Кайракбаев А.К.</copyright-holder><copyright-holder xml:lang="en">Dayev Z.A., Kairakbaev A.K.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://vestnik.kbtu.edu.kz/jour/article/view/1757">https://vestnik.kbtu.edu.kz/jour/article/view/1757</self-uri><abstract><p>В статье представлены результаты моделирования расходомера переменного перепада давлений с преобразователем расхода в виде расширяющего устройства, который выполняет измерение расхода потока пульсирующей жидкости. В статье описан метод получения основных модифицированных уравнений для описания моделей и представлена структура преобразователя расхода. В качестве такого расширяющего преобразователя расхода в работе используется конический диффузор. В работе получена модель такого расходомера и исследованы факторы, влияющие на процесс измерения пульсирующего расхода жидкости. Дана оценка неопределенности результатов измерения пульсирующего расхода с помощью подобного преобразователя. Исследованы факторы, влияющие на точность измерения расхода.</p></abstract><trans-abstract xml:lang="en"><p>The article presents the results of modeling a differential pressure flowmeter with a flow transducer in the form of an expanding device that measures the flow rate of a pulsating liquid. The article describes a method for obtaining basic modified equations for describing models and presents the structure of the flow transducer. A conical diffuser is used as an expanding flow transducer in operation. In this article, a model of such a flow meter is obtained and the factors influencing the process of measuring the pulsating flow rate of a liquid are investigated. An estimation of the uncertainty of measuring results of the pulsating flow rate using such a transducer is given. The factors influencing the accuracy of flow measurement are investigated.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>пульсирующий поток</kwd><kwd>расход жидкости</kwd><kwd>моделирование</kwd><kwd>расходомер переменного перепада давлений</kwd><kwd>расширяющий преобразователь расхода</kwd></kwd-group><kwd-group xml:lang="en"><kwd>pulsating flow</kwd><kwd>flow rate</kwd><kwd>modeling</kwd><kwd>differential pressure flowmeter</kwd><kwd>expanding device transducer</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Addison P.S., Ervine D.A., Chan A.H.C. and K.J. Williamsю An experimental investigation into the breakdown of low Reynolds number pulsed flows at a pipe orifice, Journal of Fluids Engineeringб 1997, vol. 119, pp. 347–353.</mixed-citation><mixed-citation xml:lang="en">Addison P.S., Ervine D.A., Chan A.H.C. and K.J. Williamsю An experimental investigation into the breakdown of low Reynolds number pulsed flows at a pipe orifice, Journal of Fluids Engineeringб 1997, vol. 119, pp. 347–353.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Doblhoff-Dier K., Kudlaty K., Wiesinger M. and M. Gröschl. Time resolved measurement of pulsating flow using orifices, Flow Measurement and Instrumentation, 2011, vol. 22, pp. 97–103.</mixed-citation><mixed-citation xml:lang="en">Doblhoff-Dier K., Kudlaty K., Wiesinger M. and M. Gröschl. Time resolved measurement of pulsating flow using orifices, Flow Measurement and Instrumentation, 2011, vol. 22, pp. 97–103.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Gajan P., Mottram R.C., Hebrard P., Andriamihafy H. and B. Platet. The influence of pulsating flows on orifice plate flowmeters, Flow Measurement and Instrumentation, 2011, vol. 3, pp. 118–129.</mixed-citation><mixed-citation xml:lang="en">Gajan P., Mottram R.C., Hebrard P., Andriamihafy H. and B. Platet. The influence of pulsating flows on orifice plate flowmeters, Flow Measurement and Instrumentation, 2011, vol. 3, pp. 118–129.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Shemer L., Wygnanski I. and E. Kit. Pulsating flow in a pipe, J. Fluid Mech., 1985, vol. 153, pp. 313–337.</mixed-citation><mixed-citation xml:lang="en">Shemer L., Wygnanski I. and E. Kit. Pulsating flow in a pipe, J. Fluid Mech., 1985, vol. 153, pp. 313–337.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Yakhot A., Grinberg L. and N. Nikitin. Simulating Pulsatile Flows Through a Pipe Orifice by an Immersed-Boundary Method, Journal of Fluids Engineering, 2004, vol. 126, pp. 911–918.</mixed-citation><mixed-citation xml:lang="en">Yakhot A., Grinberg L. and N. Nikitin. Simulating Pulsatile Flows Through a Pipe Orifice by an Immersed-Boundary Method, Journal of Fluids Engineering, 2004, vol. 126, pp. 911–918.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">M.N.E. Reis and S. Hanriot. Incompressible pulsating flow for low Reynolds numbers in orifice plates, Flow Measurement and Instrumentation, 2017, vol. 54, pp. 146–157.</mixed-citation><mixed-citation xml:lang="en">M.N.E. Reis and S. Hanriot. Incompressible pulsating flow for low Reynolds numbers in orifice plates, Flow Measurement and Instrumentation, 2017, vol. 54, pp. 146–157.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Daev Zh.A. A Method for the Measurement of a Pulsating Flow of Liquid. Measurement Techniques, 201, vol. 59, pp. 243–246.</mixed-citation><mixed-citation xml:lang="en">Daev Zh.A. A Method for the Measurement of a Pulsating Flow of Liquid. Measurement Techniques, 201, vol. 59, pp. 243–246.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Dayev Zh.A. Theoretical modelling of natural gas unsteady flow rate measurement using variable differential pressure method, Flow Measurement and Instrumentation, 2018, vol. 62, pp. 33–36.</mixed-citation><mixed-citation xml:lang="en">Dayev Zh.A. Theoretical modelling of natural gas unsteady flow rate measurement using variable differential pressure method, Flow Measurement and Instrumentation, 2018, vol. 62, pp. 33–36.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Evgenidis S.P. and T.D. Karapantsios. Increase of gas–liquid interfacial area in bubbly flows by pulsating flow conditions, Chemical Engineering Journal, 2018, vol. 486, no.150107.</mixed-citation><mixed-citation xml:lang="en">9 Evgenidis S.P. and T.D. Karapantsios. Increase of gas–liquid interfacial area in bubbly flows by pulsating flow conditions, Chemical Engineering Journal, 2018, vol. 486, no.150107.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Zhou L., Gao T., Wang Y., Wang J., Gong J. and J. Li. Large eddy simulation of enhanced heat transfer in grooved channel with pulsating flow corresponding to hydrodynamic frequency, International Journal of Heat and Mass Transfer, 2024, vol. 218, no. 124822.</mixed-citation><mixed-citation xml:lang="en">Zhou L., Gao T., Wang Y., Wang J., Gong J. and J. Li. Large eddy simulation of enhanced heat transfer in grooved channel with pulsating flow corresponding to hydrodynamic frequency, International Journal of Heat and Mass Transfer, 2024, vol. 218, no. 124822.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Brahma I. and S. Singh. Experimental, numerical and deep learning modeling study of heat transfer in turbulent pulsating pipe flow, Applied Thermal Engineering, 2024, vol. 244, no.122685.</mixed-citation><mixed-citation xml:lang="en">Brahma I. and S. Singh. Experimental, numerical and deep learning modeling study of heat transfer in turbulent pulsating pipe flow, Applied Thermal Engineering, 2024, vol. 244, no.122685.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Matsubara K., Mitsuishi A., Iwamoto K. and A. Murata. Prediction of pulsating turbulent pipe flow by deep learning with generalization capability, International Journal of Heat and Fluid Flow, 2023, vol. 104, no.109214.</mixed-citation><mixed-citation xml:lang="en">Matsubara K., Mitsuishi A., Iwamoto K. and A. Murata. Prediction of pulsating turbulent pipe flow by deep learning with generalization capability, International Journal of Heat and Fluid Flow, 2023, vol. 104, no.109214.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Altunkaya A.N., Aydin O. and M. Avci. Pulsating non-Newtonian heat and fluid flow in a concentric annular duct: An analysis using perturbation series method, International Communications in Heat and Mass Transfer, 2024, vol. 154, no. 107417.</mixed-citation><mixed-citation xml:lang="en">Altunkaya A.N., Aydin O. and M. Avci. Pulsating non-Newtonian heat and fluid flow in a concentric annular duct: An analysis using perturbation series method, International Communications in Heat and Mass Transfer, 2024, vol. 154, no. 107417.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Ren W., Zhang X., Zhang Y. and X. Lu. The impact of pulsating parameters on particle dynamics in vertical pipe during hydraulic conveying with pulsating inlet flow, Powder Technology, 2024, vol. 438, no. 119655.</mixed-citation><mixed-citation xml:lang="en">Ren W., Zhang X., Zhang Y. and X. Lu. The impact of pulsating parameters on particle dynamics in vertical pipe during hydraulic conveying with pulsating inlet flow, Powder Technology, 2024, vol. 438, no. 119655.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Daev Zh.A. The use of a step-down diffuser as a flow transducer, Measurement Techniques, 2013, vol. 56, pp. 426–428.</mixed-citation><mixed-citation xml:lang="en">Daev Zh.A. The use of a step-down diffuser as a flow transducer, Measurement Techniques, 2013, vol. 56, pp. 426–428.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Dayev Z.A. and A.K. Kairakbaev. Modeling of coefficient of contraction of differential pressure flowmeters, Measurement Techniques, 2019, vol. 66, pp. 128–131.</mixed-citation><mixed-citation xml:lang="en">Dayev Z.A. and A.K. Kairakbaev. Modeling of coefficient of contraction of differential pressure flowmeters, Measurement Techniques, 2019, vol. 66, pp. 128–131.</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Landau L.D., Lifshitz E.M. Theoretical Physics, Hydrodynamics, vol. 6. (Moscow: Nauka Publishing House,1986), p. 736. [in Russian]</mixed-citation><mixed-citation xml:lang="en">Landau L.D., Lifshitz E.M. Theoretical Physics, Hydrodynamics, vol. 6. (Moscow: Nauka Publishing House,1986), p. 736. [in Russian]</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Dayev Z., Shopanova G., Toksanbaeva B., Yetilmezsoy K., Sultanov N., Sihag P., Bahramian M. and E. Kiyan. Modeling the flow rate of dry part in the wet gas mixture using decision tree/kernel/non-parametric regression-based soft-computing techniques, Flow Measurement and Instrumentation, 2022, vol. 86, no.102195.</mixed-citation><mixed-citation xml:lang="en">Dayev Z., Shopanova G., Toksanbaeva B., Yetilmezsoy K., Sultanov N., Sihag P., Bahramian M. and E. Kiyan. Modeling the flow rate of dry part in the wet gas mixture using decision tree/kernel/non-parametric regression-based soft-computing techniques, Flow Measurement and Instrumentation, 2022, vol. 86, no.102195.</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Reader-Harris M.J. Orifice Plates and Venturi Tubes (Glasgow: Springer International Publishing Switzerland, 2015), p. 389.</mixed-citation><mixed-citation xml:lang="en">Reader-Harris M.J. Orifice Plates and Venturi Tubes (Glasgow: Springer International Publishing Switzerland, 2015), p. 389.</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Kremlevskii P.P. Flowmeters and Counters of the Quantity of Substances: Handbook (Leningrad: Mashinostroenie Publishing House, 1989), p. 701. [in Russian]</mixed-citation><mixed-citation xml:lang="en">Kremlevskii P.P. Flowmeters and Counters of the Quantity of Substances: Handbook (Leningrad: Mashinostroenie Publishing House, 1989), p. 701. [in Russian]</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Golubev A.Yu. and G.A. Potemkin. Features of the structure of pressure pulsation fields in the vicinity of poorly streamlined bodies (cylinders), Izvestiya RAS. Mechanics of liquid and gas, 2016, vol. 4, pp. 59–66.</mixed-citation><mixed-citation xml:lang="en">Golubev A.Yu. and G.A. Potemkin. Features of the structure of pressure pulsation fields in the vicinity of poorly streamlined bodies (cylinders), Izvestiya RAS. Mechanics of liquid and gas, 2016, vol. 4, pp. 59–66.</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
