{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,17]],"date-time":"2026-10-17T21:21:33Z","timestamp":1792272093567,"version":"4.4.0"},"reference-count":37,"publisher":"American Chemical Society (ACS)","issue":"18","license":[{"start":{"date-parts":[[2024,4,25]],"date-time":"2024-04-25T00:00:00Z","timestamp":1714003200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100005706","name":"Beijing Technology and Business University","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100005706","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001409","name":"Department of Science and Technology, Ministry of Science and Technology, India","doi-asserted-by":"publisher","award":["SR\/FST\/MS-II\/2021\/101(C)"],"award-info":[{"award-number":["SR\/FST\/MS-II\/2021\/101(C)"]}],"id":[{"id":"10.13039\/501100001409","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["2021LD01"],"award-info":[{"award-number":["2021LD01"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100009589","name":"Jadavpur University","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100009589","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["ACS Omega"],"published-print":{"date-parts":[[2024,5,7]]},"DOI":"10.1021\/acsomega.4c01729","type":"journal-article","created":{"date-parts":[[2024,4,25]],"date-time":"2024-04-25T13:11:44Z","timestamp":1714050704000},"page":"20502-20511","source":"Crossref","is-referenced-by-count":11,"title":["Enhancement of Biodiesel Production via Ultrasound Technology: A\u00a0Mathematical Study"],"prefix":"10.1021","volume":"9","author":[{"given":"Xianbing","family":"Cao","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Beijing Technology and Business University, Beijing 100048, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Sk Mosaraf","family":"Ahammed","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Jadavpur University, Kolkata 700032, India"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Siddhartha","family":"Datta","sequence":"additional","affiliation":[{"name":"Department of Chemical Engineering, Jadavpur University, Kolkata 700032, India"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jahangir","family":"Chowdhury","sequence":"additional","affiliation":[{"name":"Department of Applied Science, RCC Institute of Information Technology, Kolkata 700015, India"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7454-4367","authenticated-orcid":true,"given":"Priti Kumar","family":"Roy","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Jadavpur University, Kolkata 700032, India"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"316","published-online":{"date-parts":[[2024,4,25]]},"reference":[{"key":"ref1\/cit1","doi-asserted-by":"publisher","DOI":"10.3390\/ijerph15010016"},{"key":"ref2\/cit2","doi-asserted-by":"publisher","DOI":"10.1016\/j.rser.2015.12.101"},{"key":"ref3\/cit3","doi-asserted-by":"publisher","DOI":"10.1016\/j.fuel.2020.119110"},{"key":"ref4\/cit4","doi-asserted-by":"publisher","DOI":"10.1016\/j.biombioe.2008.03.003"},{"key":"ref5\/cit5","doi-asserted-by":"publisher","DOI":"10.1016\/j.apenergy.2009.10.006"},{"key":"ref6\/cit6","doi-asserted-by":"publisher","DOI":"10.1016\/j.fuel.2007.12.006"},{"key":"ref7\/cit7","doi-asserted-by":"publisher","DOI":"10.1002\/jctb.1666"},{"key":"ref8\/cit8","doi-asserted-by":"publisher","DOI":"10.1016\/j.biortech.2007.02.028"},{"key":"ref9\/cit9","doi-asserted-by":"publisher","DOI":"10.1016\/j.biortech.2009.05.027"},{"key":"ref10\/cit10","doi-asserted-by":"publisher","DOI":"10.1016\/j.fuel.2011.08.035"},{"key":"ref11\/cit11","doi-asserted-by":"publisher","DOI":"10.1016\/j.fuel.2014.05.021"},{"key":"ref12\/cit12","first-page":"130","volume":"11","author":"Chowdhury J.","year":"2017","journal-title":"Int. J. Math. Models Methods App. Sci."},{"key":"ref13\/cit13","doi-asserted-by":"publisher","DOI":"10.1016\/j.fuel.2009.09.025"},{"key":"ref14\/cit14","doi-asserted-by":"publisher","DOI":"10.1002\/cite.200403327"},{"key":"ref15\/cit15","doi-asserted-by":"publisher","DOI":"10.1021\/ef070102b"},{"key":"ref16\/cit16","doi-asserted-by":"publisher","DOI":"10.1016\/j.biortech.2009.08.050"},{"key":"ref17\/cit17","doi-asserted-by":"publisher","DOI":"10.3390\/en3101691"},{"key":"ref18\/cit18","doi-asserted-by":"publisher","DOI":"10.1016\/j.phpro.2015.08.227"},{"key":"ref19\/cit19","doi-asserted-by":"publisher","DOI":"10.1016\/1350-4177(94)90005-1"},{"key":"ref20\/cit20","doi-asserted-by":"publisher","DOI":"10.1039\/p29880000375"},{"key":"ref21\/cit21","doi-asserted-by":"publisher","DOI":"10.1016\/1350-4177(94)00004-c"},{"key":"ref22\/cit22","doi-asserted-by":"publisher","DOI":"10.1016\/1350-4177(94)90008-6"},{"key":"ref23\/cit23","doi-asserted-by":"publisher","DOI":"10.1246\/cl.2003.716"},{"key":"ref24\/cit24","doi-asserted-by":"publisher","DOI":"10.1007\/s11746-005-1104-3"},{"key":"ref25\/cit25","doi-asserted-by":"publisher","DOI":"10.1016\/j.fuproc.2008.12.004"},{"key":"ref26\/cit26","doi-asserted-by":"publisher","DOI":"10.1016\/j.fuel.2009.05.030"},{"key":"ref27\/cit27","doi-asserted-by":"publisher","DOI":"10.1080\/15567036.2019.1604860"},{"key":"ref28\/cit28","doi-asserted-by":"publisher","DOI":"10.1016\/j.fuel.2015.05.048"},{"key":"ref29\/cit29","doi-asserted-by":"publisher","DOI":"10.1007\/BF02679606"},{"key":"ref30\/cit30","doi-asserted-by":"publisher","DOI":"10.1016\/j.molcatb.2004.12.013"},{"key":"ref31\/cit31","doi-asserted-by":"publisher","DOI":"10.1002\/1438-9312(200106)103:6<363::AID-EJLT363>3.0.CO;2-3"},{"key":"ref32\/cit32","volume-title":"Convective Mass Transfer","author":"Subramanian R. S.","year":"2014"},{"key":"ref33\/cit33","doi-asserted-by":"publisher","DOI":"10.1016\/j.biosystemseng.2014.06.011"},{"key":"ref34\/cit34","doi-asserted-by":"publisher","DOI":"10.4236\/aces.2019.91004"},{"key":"ref35\/cit35","doi-asserted-by":"publisher","DOI":"10.1016\/j.apcata.2009.07.001"},{"key":"ref36\/cit36","volume-title":"Mathematical theory of optimal processes","author":"Pontryagin L. S.","year":"1987"},{"key":"ref37\/cit37","first-page":"327","volume":"26","author":"Sengupta A.","year":"2019","journal-title":"Nonlinear Stud."}],"container-title":["ACS Omega"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/pubs.acs.org\/doi\/pdf\/10.1021\/acsomega.4c01729","content-type":"application\/pdf","content-version":"vor","intended-application":"unspecified"},{"URL":"https:\/\/pubs.acs.org\/doi\/pdf\/10.1021\/acsomega.4c01729","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,5,7]],"date-time":"2024-05-07T04:16:25Z","timestamp":1715055385000},"score":1,"resource":{"primary":{"URL":"https:\/\/pubs.acs.org\/doi\/10.1021\/acsomega.4c01729"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,4,25]]},"references-count":37,"journal-issue":{"issue":"18","published-print":{"date-parts":[[2024,5,7]]}},"alternative-id":["10.1021\/acsomega.4c01729"],"URL":"https:\/\/doi.org\/10.1021\/acsomega.4c01729","relation":{},"ISSN":["2470-1343","2470-1343"],"issn-type":[{"value":"2470-1343","type":"print"},{"value":"2470-1343","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,4,25]]}}}