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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="en"><front><journal-meta><journal-id journal-id-type="publisher-id">najo</journal-id><journal-title-group><journal-title xml:lang="en">Nanosystems: Physics, Chemistry, Mathematics</journal-title><trans-title-group xml:lang="ru"><trans-title>Наносистемы: физика, химия, математика</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2220-8054</issn><issn pub-type="epub">2305-7971</issn><publisher><publisher-name>Университет ИТМО</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17586/2220-8054-2020-11-4-379-390</article-id><article-id custom-type="elpub" pub-id-type="custom">najo-406</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="en"><subject>PHYSICS</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ФИЗИКА</subject></subj-group></article-categories><title-group><article-title>Peristaltic pumping through non-Darcy porous medium in an electroosmotic flow with entropy analysis</article-title><trans-title-group xml:lang="ru"><trans-title></trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Gajbhare</surname><given-names>Bhimanand Pandurang</given-names></name></name-alternatives><bio xml:lang="en"><p>Jalgaon</p><p>Beed-431515, Maharashtra</p></bio><email xlink:type="simple">bpgajbhare@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Krishna prasad</surname><given-names>J.S.V.R.</given-names></name></name-alternatives><bio xml:lang="en"><p>Jalgaon-425001, Maharashtra</p></bio><email xlink:type="simple">krishnaprasadjsvr@yahoo.com</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Mishra</surname><given-names>S. R.</given-names></name></name-alternatives><bio xml:lang="en"><p>Khandagiri square, Bhubaneswar-751030, Odisha</p></bio><email xlink:type="simple">satyaranjan_mshr@yahoo.co.in</email><xref ref-type="aff" rid="aff-3"/></contrib></contrib-group><aff xml:lang="en" id="aff-1"><institution>Research Scholar, Kavayitri Bahinabai Chaudhari North Maharashtra University; Department of Mathematics, Vaidyanath College Parli-Vaijanath</institution><country>India</country></aff><aff xml:lang="en" id="aff-2"><institution>Department of Mathematics, Moolji Jaitha College</institution><country>India</country></aff><aff xml:lang="en" id="aff-3"><institution>Department of Mathematics, Siksha O Anusandhan Deemed to be University</institution><country>India</country></aff><pub-date pub-type="collection"><year>2020</year></pub-date><pub-date pub-type="epub"><day>29</day><month>07</month><year>2025</year></pub-date><volume>11</volume><issue>4</issue><elocation-id>379–390</elocation-id><permissions><copyright-statement>Copyright &amp;#x00A9; Gajbhare B., Krishna prasad J., Mishra S.R., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Gajbhare B., Krishna prasad J., Mishra S.R.</copyright-holder><copyright-holder xml:lang="en">Gajbhare B., Krishna prasad J., Mishra S.R.</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://nanojournal.ifmo.ru/jour/article/view/406">https://nanojournal.ifmo.ru/jour/article/view/406</self-uri><abstract><p>Pumping of peristaltic fluid is a vehicle via liquid that is accomplished due to a dynamic rush through a distensible cylinder containing liquids which extends along its length. Peristaltic pumping occurs in a lower pressure region to a higher pressure region. As a principle of peristaltic pumping, various applications are used for the blood pumping in different parts of the human body, pharmacological drug delivery systems and in industries, sanitary fluid transport, etc. Therefore, peristaltic pumping via a non-Darcy porous medium in an electroosmotic flow has been discussed in the current investigation. To exhibit the existence of a porous medium, Darcy Forchheimer model is deployed. The electro-magnetohaydrodynamic flow of fluid passing a symmetric channel and the novelty of the study are due to the entropy analysis. Analytical approach such as perturbation technique is employed to reduce the higher order coupled transformed equation into its lower order decoupled form and then numerical treatment is made to obtain the approximate solutions. The characteristics of the contributing parameters are presented via graphs and the numerical computations are exhibited through tabular form. Present outcome warrants a good correlation with earlier result in particular case. However, the main findings are elaborated in the results and discussion section.</p></abstract><kwd-group xml:lang="en"><kwd>electroosmotic flow</kwd><kwd>peristaltic pumping</kwd><kwd>Darcy–Forchheimer model</kwd><kwd>approximate analytical method</kwd><kwd>perturbation technique</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">Bejan A. Entropy generation minimization. 2nd ed. Boca Raton: CRC, 1996.</mixed-citation><mixed-citation xml:lang="en">Bejan A. Entropy generation minimization. 2nd ed. Boca Raton: CRC, 1996.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Sciacovelli A., Verda V., Sciubba E. Entropy generation analysis as a design toola review. Renew Sustain Energy Rev., 2015, 43, P. 1167–1181.</mixed-citation><mixed-citation xml:lang="en">Sciacovelli A., Verda V., Sciubba E. Entropy generation analysis as a design toola review. Renew Sustain Energy Rev., 2015, 43, P. 1167–1181.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Zhao L., Liu L.H. Entropy generation analysis of electro-osmotic flow in open-end and closed-end micro-channels. Ain Shams Eng J., 2017, 8, P. 623–632.</mixed-citation><mixed-citation xml:lang="en">Zhao L., Liu L.H. Entropy generation analysis of electro-osmotic flow in open-end and closed-end micro-channels. Ain Shams Eng J., 2017, 8, P. 623–632.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Rashidi M.M., Abelman S., Mehr N.F. Entropy generation in steady MHD flow due to a rotating porous disk in a nanofluid. Int. J. Heat Mass. Transf., 2013, 62, P. 515–625.</mixed-citation><mixed-citation xml:lang="en">Rashidi M.M., Abelman S., Mehr N.F. Entropy generation in steady MHD flow due to a rotating porous disk in a nanofluid. Int. J. Heat Mass. Transf., 2013, 62, P. 515–625.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Afridi M.I., Qasim M., Khan I., Tlili I. Entropy generation in MHD mixed convection stagnation-point flow in the presence of joule and frictional heating. Case Stud Therm. Eng., 2018, 12, P. 292–300.</mixed-citation><mixed-citation xml:lang="en">Afridi M.I., Qasim M., Khan I., Tlili I. Entropy generation in MHD mixed convection stagnation-point flow in the presence of joule and frictional heating. Case Stud Therm. Eng., 2018, 12, P. 292–300.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Gul A., Khan I., Makhanov S.S. Entropy generation in a mixed convection Poiseulle flow of molybdenum disulphide Jeffrey nanofluid. Results Phys., 2018, 9, P. 947–954.</mixed-citation><mixed-citation xml:lang="en">Gul A., Khan I., Makhanov S.S. Entropy generation in a mixed convection Poiseulle flow of molybdenum disulphide Jeffrey nanofluid. Results Phys., 2018, 9, P. 947–954.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Saqib M., Ali F., et al. Entropy generation in different types of fractionalized nanofluids. Arab. J. Sci. Eng., 2018, 44 (1), P. 1–10.</mixed-citation><mixed-citation xml:lang="en">Saqib M., Ali F., et al. Entropy generation in different types of fractionalized nanofluids. Arab. J. Sci. Eng., 2018, 44 (1), P. 1–10.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Adesanya S.O., Falade J.A. Thermodynamics analysis of hydromagnetic third grade fluid flow through a channel filled with porous medium. Alex Eng. J., 2015, 54 (3), P. 615–622.</mixed-citation><mixed-citation xml:lang="en">Adesanya S.O., Falade J.A. Thermodynamics analysis of hydromagnetic third grade fluid flow through a channel filled with porous medium. Alex Eng. J., 2015, 54 (3), P. 615–622.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Afridi M.I., Qasim M., Shafie S., Makinde O.D. Entropy generation analysis of spherical and non-spherical ag-water nanofluids in a porous medium with magnetic and porous dissipation. J. Nanofluids., 2018, 7 (5), P. 951–960.</mixed-citation><mixed-citation xml:lang="en">Afridi M.I., Qasim M., Shafie S., Makinde O.D. Entropy generation analysis of spherical and non-spherical ag-water nanofluids in a porous medium with magnetic and porous dissipation. J. Nanofluids., 2018, 7 (5), P. 951–960.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Abbas M.A., Bai Y., Rashidi M.M., Bhatti M.M. Analysis of entropy generation in the flow of peristaltic nanofluids in channels with compliant walls. Entropy, 2016, 18 (3), P. 90.</mixed-citation><mixed-citation xml:lang="en">Abbas M.A., Bai Y., Rashidi M.M., Bhatti M.M. Analysis of entropy generation in the flow of peristaltic nanofluids in channels with compliant walls. Entropy, 2016, 18 (3), P. 90.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Rashidi M.M., Bhatti M.M., Abbas M.A., Ali M.E. Entropy generation on MHD blood flow of nanofluid due to peristaltic waves. Entropy, 2016, 18 (4), P. 117.</mixed-citation><mixed-citation xml:lang="en">Rashidi M.M., Bhatti M.M., Abbas M.A., Ali M.E. Entropy generation on MHD blood flow of nanofluid due to peristaltic waves. Entropy, 2016, 18 (4), P. 117.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Qasim M., Hayat Khan Z., Khan I., Al-Mdallal Q.M. Analysis of entropy generation in flow of methanol-based nanofluid in a sinusoidal wavy channel. Entropy, 2017, 19 (10), P. 490.</mixed-citation><mixed-citation xml:lang="en">Qasim M., Hayat Khan Z., Khan I., Al-Mdallal Q.M. Analysis of entropy generation in flow of methanol-based nanofluid in a sinusoidal wavy channel. Entropy, 2017, 19 (10), P. 490.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Alizadeh R., Karimi N., et al. Mixed convection and thermodynamic irreversibilities in MHD nanofluid stagnation- point flows over a cylinder embedded in porous media. J. Therm. Anal. Calorim., 2018, 135, P. 489–506.</mixed-citation><mixed-citation xml:lang="en">Alizadeh R., Karimi N., et al. Mixed convection and thermodynamic irreversibilities in MHD nanofluid stagnation- point flows over a cylinder embedded in porous media. J. Therm. Anal. Calorim., 2018, 135, P. 489–506.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Shamsabadi H., Rashidi S., Esfahani J.A. Entropy generation analysis for nanofluid flow inside a duct equipped with porous baffles. J. Therm. Anal. Calorim., 2018, 135, P. 1009–1019.</mixed-citation><mixed-citation xml:lang="en">Shamsabadi H., Rashidi S., Esfahani J.A. Entropy generation analysis for nanofluid flow inside a duct equipped with porous baffles. J. Therm. Anal. Calorim., 2018, 135, P. 1009–1019.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Cameselle C., Reddy K.R. Development and enhancement of electro-osmotic flow for the removal of contaminants from soils. Electrochim. Acta, 2012, 86, P. 10–22.</mixed-citation><mixed-citation xml:lang="en">Cameselle C., Reddy K.R. Development and enhancement of electro-osmotic flow for the removal of contaminants from soils. Electrochim. Acta, 2012, 86, P. 10–22.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Zhou J., Tao Y.L., et al. Electro-osmotic strengthening of silts based on selected electrode materials. Soils Found., 2015, 55 (5), P. 1171–1180.</mixed-citation><mixed-citation xml:lang="en">Zhou J., Tao Y.L., et al. Electro-osmotic strengthening of silts based on selected electrode materials. Soils Found., 2015, 55 (5), P. 1171–1180.</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Tripathi D., Bhushan S., Be’g O.A. Transverse magnetic field driven modification in unsteady peristaltic transport with electrical double layer effects. Colloids Surf. A, 2016, 506, P. 32–39.</mixed-citation><mixed-citation xml:lang="en">Tripathi D., Bhushan S., Be’g O.A. Transverse magnetic field driven modification in unsteady peristaltic transport with electrical double layer effects. Colloids Surf. A, 2016, 506, P. 32–39.</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Kikuchi Y. Effect of Leukocytes and platelets on blood ow through a parallel array of microchannels: micro-and Macroow relation and rheological measures of leukocytes and platelate acivities. Microvasc. Res., 1995, 50, P. 288–300.</mixed-citation><mixed-citation xml:lang="en">Kikuchi Y. Effect of Leukocytes and platelets on blood ow through a parallel array of microchannels: micro-and Macroow relation and rheological measures of leukocytes and platelate acivities. Microvasc. Res., 1995, 50, P. 288–300.</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Tripathi D., Bhushan S., Beg O.A. Transverse magnetic field driven modification in unsteady peristaltic transport with electrical double layer effects. Colloids Surf. A. Physicochem. Eng. Asp., 2016, 506, P. 32–39.</mixed-citation><mixed-citation xml:lang="en">Tripathi D., Bhushan S., Beg O.A. Transverse magnetic field driven modification in unsteady peristaltic transport with electrical double layer effects. Colloids Surf. A. Physicochem. Eng. Asp., 2016, 506, P. 32–39.</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>
