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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">alternative</journal-id><journal-title-group><journal-title xml:lang="ru">Альтернативная энергетика и экология (ISJAEE)</journal-title><trans-title-group xml:lang="en"><trans-title>Alternative Energy and Ecology (ISJAEE)</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1608-8298</issn><publisher><publisher-name>Международный издательский дом научной периодики "Спейс</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.15518/isjaee.2015.21.007</article-id><article-id custom-type="elpub" pub-id-type="custom">alternative-200</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>ВОДОРОДНАЯ ЭКОНОМИКА</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>HYDROGEN ECONOMY</subject></subj-group></article-categories><title-group><article-title>МАТЕМАТИЧЕСКОЕ И ПРОГРАММНОЕ ОБЕСПЕЧЕНИЕ ЭКСПЕРИМЕНТОВ ПО ИЗУЧЕНИЮ НЕСТАЦИОНАРНОЙ ВОДОРОДОПРОНИЦАЕМОСТИ МЕМБРАН, ИСПОЛЬЗУЕМЫХ В МЕМБРАННЫХ ЭЛЕКТРОЛИЗЕРАХ И ВОДОРОДНЫХ ТОПЛИВНЫХ ЭЛЕМЕНТАХ</article-title><trans-title-group xml:lang="en"><trans-title>MATHEMATICAL METHODOLOGY AND SOFTWARE PACKAGE FOR EXPERIMENTS TO STUDY THE TRANSIENT HYDROGEN PERMEATION IN MEMBRANES USED IN ELECTROLYSERS AND HYDROGEN FUEL CELL</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Бекман</surname><given-names>И. Н.</given-names></name><name name-style="western" xml:lang="en"><surname>Beckman</surname><given-names>I. N.</given-names></name></name-alternatives><bio xml:lang="ru"><p>д-р хим. наук, профессор, профессор</p></bio><bio xml:lang="en"><p>Ph.D., D.Sc., Department of Chemistry</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Бессарабов</surname><given-names>Д. Г.</given-names></name><name name-style="western" xml:lang="en"><surname>Bessarabov</surname><given-names>D. G.</given-names></name></name-alternatives><bio xml:lang="ru"><p>канд. хим. наук.Директор национального центра «Водород ЮАР»</p></bio><bio xml:lang="en"><p>Ph.D., DST National Center: HySA Infrastructure: Director, North-West University, Potchefstroom, South Africa</p></bio><email xlink:type="simple">Dmitri.Bessarabov@nwu.ac.za</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Бунцева</surname><given-names>И. М.</given-names></name><name name-style="western" xml:lang="en"><surname>Buntseva</surname><given-names>I. M.</given-names></name></name-alternatives><bio xml:lang="ru"><p>канд. хим. наук, старший научный сотрудник кафедры радиохимии химического факультета</p></bio><bio xml:lang="en"><p>Ph.D., Department of Chemistry</p></bio><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru">Московский государственный университет им. М.В. Ломоносова, химический факультет 119991 Москва, ГСП-1, Ленинские горы, д. 1, стр. 3<country>Россия</country></aff><aff xml:lang="en">M.V. Lomonosov Moscow State University, Department of Chemistry 1/3 Lenin Hills, Moscow, 119991, GSP-1, Russia<country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru">Национальный центр «Водород ЮАР» при Северо-Западном университете, Потчефструм, ЮАР<country>Южно-Африканская Республика</country></aff><aff xml:lang="en">DST Center of Competence: HySA Infrastructure, North-West University (NWU) and Council for Scientific and Industrial Research (CSIR)<country>South Africa</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2015</year></pub-date><pub-date pub-type="epub"><day>05</day><month>04</month><year>2016</year></pub-date><volume>0</volume><issue>21</issue><fpage>55</fpage><lpage>69</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Международный издательский дом научной периодики "Спейс, 2016</copyright-statement><copyright-year>2016</copyright-year><copyright-holder xml:lang="ru">Международный издательский дом научной периодики "Спейс</copyright-holder><copyright-holder xml:lang="en">Международный издательский дом научной периодики "Спейс</copyright-holder><license xlink:href="https://www.isjaee.com/jour/about/submissions#copyrightNotice" xlink:type="simple"><license-p>https://www.isjaee.com/jour/about/submissions#copyrightNotice</license-p></license></permissions><self-uri xlink:href="https://www.isjaee.com/jour/article/view/200">https://www.isjaee.com/jour/article/view/200</self-uri><abstract><p>В рамках создания методологии управления процессами проницаемости функциональных материалов рассмотрен математический аппарат диффузии через пластину при граничных условиях 1-го и 2-го рода и предложены способы оценки параметров диффузии методами особых точек, функциональных масштабов и статистических моментов. Разработан комплекс компьютерных программ HPRON, обеспечивающий возможность математического моделирования, планирования, обработки и интерпретации результатов различных вариантов метода газопроницаемости. Полученные результаты использованы для оптимизации работы мембранного электродного блока автомобильного топливного элемента и электролизера с протонпроводящей перфторированной мембраной типа нафиона. </p></abstract><trans-abstract xml:lang="en"><p>As part of the methodology to control gas permeability of functional materials, a mathematical approach is considered that takes into account a diffusion process through a plate with the boundary conditions of the 1st and 2nd order. The methodology under discussion provides methods for estimating parameters of the diffusion by using methods of singular points, functional scale and the statistical moments. A computer software packages HPRON was developed that provides mathematical modeling, planning, processing and interpretation of the results of different variants of the method of gas permeability. The results are used to optimize the performance of the membrane electrode assembly (MEA) for the automotive fuel cell and electrolyser applications with with a perfluorinated proton-conducting membrane such as Nafion. </p></trans-abstract><kwd-group xml:lang="ru"><kwd>топливный элемент</kwd><kwd>водород</kwd><kwd>проницаемость</kwd><kwd>селективность</kwd><kwd>мембрана</kwd><kwd>нафион</kwd><kwd>уравнения диффузии</kwd><kwd>комплекс компьютерных программ</kwd></kwd-group><kwd-group xml:lang="en"><kwd>fuel cell</kwd><kwd>hydrogen</kwd><kwd>permeability</kwd><kwd>selectivity</kwd><kwd>membrane</kwd><kwd>Nafion</kwd><kwd>diffusion</kwd><kwd>software</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">Majsztrik P.W., Satterfield M.B., Bocarsly A.B., Benziger J.B. Water sorption, desorption and transport in Nafion membranes // J. Membr. Sci. 2007. 301: 93–106.</mixed-citation><mixed-citation xml:lang="en">Majsztrik P.W., Satterfield M.B., Bocarsly A.B., Benziger J.B. Water sorption, desorption and transport in Nafion membranes // J. Membr. Sci. 2007. 301: 93–106.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Blunk R., Zhong F., Owens J. Automotive composite fuel cell bipolar plates: Hydrogen permeation concerns // J. Power Sources. 2006. 159: 533–542.</mixed-citation><mixed-citation xml:lang="en">Blunk R., Zhong F., Owens J. Automotive composite fuel cell bipolar plates: Hydrogen permeation concerns // J. Power Sources. 2006. 159: 533–542.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Mathias M., Roth J., Fleming J., Lehnert W. Diffusion media materials and characterization, Chapter 46, Vol 3. In: Handbook of Fuel Cells – Fundamentals, Technology and Applications. Edited by Wolf Vielstich, Hubert A. Gasteiger, ArnoldLamm. 2003. John Wiley &amp; Sons: 517-537.</mixed-citation><mixed-citation xml:lang="en">Mathias M., Roth J., Fleming J., Lehnert W. Diffusion media materials and characterization, Chapter 46, Vol 3. In: Handbook of Fuel Cells – Fundamentals, Technology and Applications. Edited by Wolf Vielstich, Hubert A. Gasteiger, ArnoldLamm. 2003. John Wiley &amp; Sons: 517-537.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Yu Z. and Carter R.N. Measurement of effective oxygen diffusivity in electrodes for proton exchange membrane fuel cells // J. Power Sources. 2010. 195: 1079–1084.</mixed-citation><mixed-citation xml:lang="en">Yu Z. and Carter R.N. Measurement of effective oxygen diffusivity in electrodes for proton exchange membrane fuel cells // J. Power Sources. 2010. 195: 1079–1084.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Pharoah J.G. On the permeability of gas diffusion media used in PEM fuel cells // J. Power Sources. 2005. 144: 77–82.</mixed-citation><mixed-citation xml:lang="en">Pharoah J.G. On the permeability of gas diffusion media used in PEM fuel cells // J. Power Sources. 2005. 144: 77–82.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Astrath N.G.C., Shen J., Astrath F.B.G., Zhou J., Huang</mixed-citation><mixed-citation xml:lang="en">Astrath N.G.C., Shen J., Astrath F.B.G., Zhou J., Huang</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">C. and Yuan X.Z. et al. Determination of effective gas diffusion coefficients of stainless steel films with differently shaped holes using a Loschmidt diffusion cell // Rev. Sci. Instrum. 2010. 81: 046104-046104-3.</mixed-citation><mixed-citation xml:lang="en">C. and Yuan X.Z. et al. Determination of effective gas diffusion coefficients of stainless steel films with differently shaped holes using a Loschmidt diffusion cell // Rev. Sci. Instrum. 2010. 81: 046104-046104-3.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Hiramitsu Y., Mitsuzawa N., Okada K., Hori M. Effects of ionomer content and oxygen permeation of the catalyst layer on proton exchange membrane fuel cell cold start-up // J. Power Sources. 2010. 195: 1038–1045.</mixed-citation><mixed-citation xml:lang="en">Hiramitsu Y., Mitsuzawa N., Okada K., Hori M. Effects of ionomer content and oxygen permeation of the catalyst layer on proton exchange membrane fuel cell cold start-up // J. Power Sources. 2010. 195: 1038–1045.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Shen J., Zhou J., Astrath N.G.C., Navessin T., Liu Z.-S., et al. Measurement of Effective Gas Diffusion Coefficients of Catalyst Layers of PEM Fuel Cells with a Loschmidt Diffusion Cell // J. Power Sources. 2011. 196: 674-678.</mixed-citation><mixed-citation xml:lang="en">Shen J., Zhou J., Astrath N.G.C., Navessin T., Liu Z.-S., et al. Measurement of Effective Gas Diffusion Coefficients of Catalyst Layers of PEM Fuel Cells with a Loschmidt Diffusion Cell // J. Power Sources. 2011. 196: 674-678.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Bessarabov D. and Kozak P. Measurement of gas permeability in SPE membranes for use in fuel cells // Membr.Techn. 2007 (a). December: 6-9.</mixed-citation><mixed-citation xml:lang="en">Bessarabov D. and Kozak P. Measurement of gas permeability in SPE membranes for use in fuel cells // Membr.Techn. 2007 (a). December: 6-9.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Zhang J., Tang Y., Song C., Zhang J., Wang H. PEM fuel cell open circuit voltage (OCV) in the temperature range of 23 °C to 120 °C // J. Power Sources. 2006. 163: 532–537.</mixed-citation><mixed-citation xml:lang="en">Zhang J., Tang Y., Song C., Zhang J., Wang H. PEM fuel cell open circuit voltage (OCV) in the temperature range of 23 °C to 120 °C // J. Power Sources. 2006. 163: 532–537.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Mittelsteadt C.K. and Liu H. Conductivity, permeability, and ohmic shorting of ionomeric membranes, Chapter 23, vol. 5. In: Handbook of fuel cells. Eds: W.Vielstich, H.A. Gasteiger, A. Lamm, 2009 John Wiley and Sons: 345-358.</mixed-citation><mixed-citation xml:lang="en">Mittelsteadt C.K. and Liu H. Conductivity, permeability, and ohmic shorting of ionomeric membranes, Chapter 23, vol. 5. In: Handbook of fuel cells. Eds: W.Vielstich, H.A. Gasteiger, A. Lamm, 2009 John Wiley and Sons: 345-358.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Bi W., Gray G.E., Fuller T.F. PEM fuel cell Pt/C dissolution and deposition in Nafion electrolyte // Electrochem. Solid-State Letters. 2007. 10: B101-B104.</mixed-citation><mixed-citation xml:lang="en">Bi W., Gray G.E., Fuller T.F. PEM fuel cell Pt/C dissolution and deposition in Nafion electrolyte // Electrochem. Solid-State Letters. 2007. 10: B101-B104.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Kundu S., Cimenti M., Lee S., Bessarabov D. Fingerprint of the automotive fuel cell cathode catalyst degradation: Pt band in the proton-exchange membranes // Membr.Techn. 2009. 10: 7-10.</mixed-citation><mixed-citation xml:lang="en">Kundu S., Cimenti M., Lee S., Bessarabov D. Fingerprint of the automotive fuel cell cathode catalyst degradation: Pt band in the proton-exchange membranes // Membr.Techn. 2009. 10: 7-10.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Bessarabov D and Kozak P. Steady-state gas permeability measurements in proton-exchange membranes for fuel cell application using the GC method. Paper presented at Annual Meeting of North American Membrane Society (NAMS2007), Orlando, FL. 2007 (b).</mixed-citation><mixed-citation xml:lang="en">Bessarabov D and Kozak P. Steady-state gas permeability measurements in proton-exchange membranes for fuel cell application using the GC method. Paper presented at Annual Meeting of North American Membrane Society (NAMS2007), Orlando, FL. 2007 (b).</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Crank J. Mathematics of diffusion. Oxford University Press. 1956.</mixed-citation><mixed-citation xml:lang="en">Crank J. Mathematics of diffusion. Oxford University Press. 1956.</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Beckman I.N. Unusual membrane proсesses: non-steady state regims, nonhomogeneous and moving membranes / In: Polymeric gas separation membranes (Eds. D.R. Paul, Y.P. Yampol’ski): CRC Press, Boka Raton-London-Tokyo, 1994.</mixed-citation><mixed-citation xml:lang="en">Beckman I.N. Unusual membrane proсesses: non-steady state regims, nonhomogeneous and moving membranes / In: Polymeric gas separation membranes (Eds. D.R. Paul, Y.P. Yampol’ski): CRC Press, Boka Raton-London-Tokyo, 1994.</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>
