{"id":"https://openalex.org/W4376279552","doi":"https://doi.org/10.1016/j.csite.2023.103059","title":"Impact of viscous dissipation and entropy generation on cold liquid via channel with porous medium by analytical analysis","display_name":"Impact of viscous dissipation and entropy generation on cold liquid via channel with porous medium by analytical analysis","publication_year":2023,"publication_date":"2023-05-12","ids":{"openalex":"https://openalex.org/W4376279552","doi":"https://doi.org/10.1016/j.csite.2023.103059"},"language":"en","primary_location":{"id":"doi:10.1016/j.csite.2023.103059","doi":"https://doi.org/10.1016/j.csite.2023.103059","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.csite.2023.103059","pdf_url":null,"source":{"id":"https://openalex.org/S2764363796","display_name":"Case Studies in Thermal Engineering","issn_l":"2214-157X","issn":["2214-157X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-b","jufo-1","norway-1","oarl","poland-70"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Case Studies in Thermal Engineering","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1016/j.csite.2023.103059","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5091931229","display_name":"Y. Masthanaiah","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I170558118","display_name":"Sri Venkateswara University","ror":"https://ror.org/05weahn72","country_code":"IN","type":"education","lineage":["https://openalex.org/I170558118"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Y. Masthanaiah","raw_affiliation_strings":["Department of Mathematics, Humanities and Basic Sciences, Annamacharya Institute of Technology & Sciences, Tirupati-51720, A.P, India","Department of Mathematics, Sri Venkateshwara University, Tirupati, 517502, A.P, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Humanities and Basic Sciences, Annamacharya Institute of Technology & Sciences, Tirupati-51720, A.P, India","institution_ids":[]},{"raw_affiliation_string":"Department of Mathematics, Sri Venkateshwara University, Tirupati, 517502, A.P, India","institution_ids":["https://openalex.org/I170558118"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022458956","display_name":"Nainaru Tarakaramu","orcid":"https://orcid.org/0000-0001-6049-424X","observed_orcids":["https://orcid.org/0000-0001-6049-424X"]},"institutions":[{"id":"https://openalex.org/I4405270480","display_name":"Mohan Babu University","ror":"https://ror.org/00s4s8963","country_code":"IN","type":"education","lineage":["https://openalex.org/I4405270480"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Nainaru Tarakaramu","raw_affiliation_strings":["Department of Mathematics, Basic Sciences and Humanities, Mohan Babu University, Sree Sainath Nagar, Tirupati, 517102, A.P, India","Department of Mathematics, Basic Sciences and Humanities, Sree Vidyanikethan Engineering College, Sree Sainath Nagar, Tirupati, 517102, A.P, India"],"raw_orcid":"https://orcid.org/0000-0001-6049-424X","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Basic Sciences and Humanities, Mohan Babu University, Sree Sainath Nagar, Tirupati, 517102, A.P, India","institution_ids":["https://openalex.org/I4405270480"]},{"raw_affiliation_string":"Department of Mathematics, Basic Sciences and Humanities, Sree Vidyanikethan Engineering College, Sree Sainath Nagar, Tirupati, 517102, A.P, India","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101659142","display_name":"M. Ijaz Khan","orcid":"https://orcid.org/0000-0003-2036-0372","observed_orcids":["https://orcid.org/0000-0003-2036-0372"]},"institutions":[{"id":"https://openalex.org/I195024194","display_name":"Riphah International University","ror":"https://ror.org/02kdm5630","country_code":"PK","type":"education","lineage":["https://openalex.org/I195024194"]},{"id":"https://openalex.org/I56306041","display_name":"Lebanese American University","ror":"https://ror.org/00hqkan37","country_code":"LB","type":"education","lineage":["https://openalex.org/I56306041"]}],"countries":["LB","PK"],"is_corresponding":false,"raw_author_name":"M. Ijaz Khan","raw_affiliation_strings":["Department of Mathematics and Statistics, Riphah International University I-14, Islamabad 44000, Pakistan","Department of Mechanical Engineering, Lebanese American University, Kraytem, Beirut, 1102-2801, Lebanon"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Riphah International University I-14, Islamabad 44000, Pakistan","institution_ids":["https://openalex.org/I195024194"]},{"raw_affiliation_string":"Department of Mechanical Engineering, Lebanese American University, Kraytem, Beirut, 1102-2801, Lebanon","institution_ids":["https://openalex.org/I56306041"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091931230","display_name":"A. Dr. A. Rushikesava","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I876193797","display_name":"Vellore Institute of Technology University","ror":"https://ror.org/00qzypv28","country_code":"IN","type":"education","lineage":["https://openalex.org/I876193797"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"A. RushiKesava","raw_affiliation_strings":["Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, 632014, T.N, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, 632014, T.N, India","institution_ids":["https://openalex.org/I876193797"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012491461","display_name":"Sana Ben Moussa","orcid":"https://orcid.org/0000-0002-4336-3544","observed_orcids":["https://orcid.org/0000-0002-4336-3544"]},"institutions":[{"id":"https://openalex.org/I82952536","display_name":"King Khalid University","ror":"https://ror.org/052kwzs30","country_code":"SA","type":"education","lineage":["https://openalex.org/I82952536"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Sana Ben Moussa","raw_affiliation_strings":["Faculty of Science and Arts, Mohail Asser, King Khalid University, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Science and Arts, Mohail Asser, King Khalid University, Saudi Arabia","institution_ids":["https://openalex.org/I82952536"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040553688","display_name":"Bandar M. Fadhl","orcid":"https://orcid.org/0000-0002-0966-2129","observed_orcids":["https://orcid.org/0000-0002-0966-2129"]},"institutions":[{"id":"https://openalex.org/I199693650","display_name":"Umm al-Qura University","ror":"https://ror.org/01xjqrm90","country_code":"SA","type":"education","lineage":["https://openalex.org/I199693650"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Bandar M. Fadhl","raw_affiliation_strings":["Mechanical Engineering Department, College of Engineering and Islamic Architecture, Umm Al-Qura University, Makkah, 21955, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mechanical Engineering Department, College of Engineering and Islamic Architecture, Umm Al-Qura University, Makkah, 21955, Saudi Arabia","institution_ids":["https://openalex.org/I199693650"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026491539","display_name":"Sherzod Shukhratovich Abdullaev","orcid":"https://orcid.org/0000-0002-2454-6708","observed_orcids":["https://orcid.org/0000-0002-2454-6708"]},"institutions":[{"id":"https://openalex.org/I4210159566","display_name":"National Pedagogical University of Uzbekistan named after Nizami","ror":"https://ror.org/051g1n833","country_code":"UZ","type":"education","lineage":["https://openalex.org/I4210159566"]},{"id":"https://openalex.org/I4387155254","display_name":"New Uzbekistan University","ror":"https://ror.org/035v3tr79","country_code":"UZ","type":"education","lineage":["https://openalex.org/I4387155254"]}],"countries":["UZ"],"is_corresponding":false,"raw_author_name":"Sherzod Shukhratovich Abdullaev","raw_affiliation_strings":["Researcher of Scientific Department, Tashkent State Pedagogical University Named After Nizami, Tashkent, Uzbekistan","Researcher, Faculty of Chemical Engineering, New Uzbekistan University, Tashkent, Uzbekistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Researcher of Scientific Department, Tashkent State Pedagogical University Named After Nizami, Tashkent, Uzbekistan","institution_ids":["https://openalex.org/I4210159566"]},{"raw_affiliation_string":"Researcher, Faculty of Chemical Engineering, New Uzbekistan University, Tashkent, Uzbekistan","institution_ids":["https://openalex.org/I4387155254"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080972827","display_name":"Sayed M. Eldin","orcid":"https://orcid.org/0000-0002-0229-0705","observed_orcids":["https://orcid.org/0000-0002-0229-0705"]},"institutions":[{"id":"https://openalex.org/I186217134","display_name":"Future University in Egypt","ror":"https://ror.org/03s8c2x09","country_code":"EG","type":"education","lineage":["https://openalex.org/I186217134"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"Sayed M. Eldin","raw_affiliation_strings":["Center of Research, Faculty of Engineering, Future University in Egypt, New Cairo, 11835, Egypt"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center of Research, Faculty of Engineering, Future University in Egypt, New Cairo, 11835, Egypt","institution_ids":["https://openalex.org/I186217134"]}]}],"institutions":[],"countries_distinct_count":6,"institutions_distinct_count":10,"corresponding_author_ids":["https://openalex.org/A5022458956"],"corresponding_institution_ids":["https://openalex.org/I4405270480"],"apc_list":{"value":1030,"currency":"USD","value_usd":1030},"apc_paid":{"value":1030,"currency":"USD","value_usd":1030},"fwci":3.6895,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.9531621,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"47","issue":null,"first_page":"103059","last_page":"103059"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12063","display_name":"Heat and Mass Transfer in Porous Media","score":0.9409000277519226,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12063","display_name":"Heat and Mass Transfer in Porous Media","score":0.9409000277519226,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10104","display_name":"Nanofluid Flow and Heat Transfer","score":0.024700000882148743,"subfield":{"id":"https://openalex.org/subfields/1507","display_name":"Fluid Flow and Transfer Processes"},"field":{"id":"https://openalex.org/fields/15","display_name":"Chemical Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10998","display_name":"Heat Transfer and Optimization","score":0.012799999676644802,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/entropy-generation","display_name":"entropy production","score":0.8949999809265137},{"id":"https://openalex.org/keywords/viscous-dissipation","display_name":"viscous dissipation","score":0.996999979019165},{"id":"https://openalex.org/keywords/couple-stress-fluid","display_name":"couple stress fluid","score":0.9440000057220459},{"id":"https://openalex.org/keywords/porous-media","display_name":"porous media","score":0.7620000243186951},{"id":"https://openalex.org/keywords/horizontal-channel-flow","display_name":"horizontal channel flow","score":0.8840000033378601},{"id":"https://openalex.org/keywords/heat-generation","display_name":"heat generation","score":0.9269999861717224},{"id":"https://openalex.org/keywords/bejan-number","display_name":"Bejan number","score":0.890999972820282},{"id":"https://openalex.org/keywords/eckert-number","display_name":"Eckert number","score":0.8489999771118164},{"id":"https://openalex.org/keywords/couple-stress-parameter","display_name":"couple stress parameter","score":0.7170000076293945},{"id":"https://openalex.org/keywords/pressure-gradient","display_name":"pressure gradient","score":0.6029999852180481},{"id":"https://openalex.org/keywords/heat-transfer","display_name":"heat transfer","score":0.4399999976158142},{"id":"https://openalex.org/keywords/irreversibility","display_name":"irreversibility","score":0.5249999761581421}],"concepts":[{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.6441981792449951},{"id":"https://openalex.org/C105569014","wikidata":"https://www.wikidata.org/wiki/Q3271208","display_name":"Porous medium","level":3,"score":0.5862418413162231},{"id":"https://openalex.org/C207282930","wikidata":"https://www.wikidata.org/wiki/Q5380811","display_name":"Entropy production","level":2,"score":0.573702871799469},{"id":"https://openalex.org/C135402231","wikidata":"https://www.wikidata.org/wiki/Q898440","display_name":"Dissipation","level":2,"score":0.5715020298957825},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.5140329599380493},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.5018281936645508},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.4997062683105469},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.3743358254432678},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.25969451665878296},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.14343243837356567}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1016/j.csite.2023.103059","doi":"https://doi.org/10.1016/j.csite.2023.103059","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.csite.2023.103059","pdf_url":null,"source":{"id":"https://openalex.org/S2764363796","display_name":"Case Studies in Thermal Engineering","issn_l":"2214-157X","issn":["2214-157X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-b","jufo-1","norway-1","oarl","poland-70"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Case Studies in Thermal Engineering","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:fbe01d8452e94989b584bee2e142de4f","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/fbe01d8452e94989b584bee2e142de4f","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Case Studies in Thermal Engineering, Vol 47, Iss , Pp 103059- (2023)","raw_type":"article"},{"id":"doi:10.60692/br1ak-np892","doi":"https://doi.org/10.60692/br1ak-np892","is_oa":true,"landing_page_url":"https://doi.org/10.60692/br1ak-np892","pdf_url":null,"source":{"id":"https://openalex.org/S7407051682","display_name":"Greater South Information System","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"},{"id":"doi:10.60692/c497f-chy80","doi":"https://doi.org/10.60692/c497f-chy80","is_oa":true,"landing_page_url":"https://doi.org/10.60692/c497f-chy80","pdf_url":null,"source":{"id":"https://openalex.org/S7407051682","display_name":"Greater South Information System","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.1016/j.csite.2023.103059","doi":"https://doi.org/10.1016/j.csite.2023.103059","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.csite.2023.103059","pdf_url":null,"source":{"id":"https://openalex.org/S2764363796","display_name":"Case Studies in Thermal Engineering","issn_l":"2214-157X","issn":["2214-157X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-b","jufo-1","norway-1","oarl","poland-70"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Case Studies in Thermal Engineering","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G5014067223","display_name":null,"funder_award_id":"RGP2/47/44","funder_id":"https://openalex.org/F33954902","funder_display_name":"Deanship of Scientific Research, King Khalid University"}],"funders":[{"id":"https://openalex.org/F33954902","display_name":"Deanship of Scientific Research, King Khalid University","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":54,"referenced_works":["https://openalex.org/W563247886","https://openalex.org/W1676532986","https://openalex.org/W1963997583","https://openalex.org/W1988308975","https://openalex.org/W1988906714","https://openalex.org/W1990241461","https://openalex.org/W1994863118","https://openalex.org/W2019020590","https://openalex.org/W2021427226","https://openalex.org/W2043211021","https://openalex.org/W2047498131","https://openalex.org/W2092884976","https://openalex.org/W2095339087","https://openalex.org/W2319120910","https://openalex.org/W2979935146","https://openalex.org/W3018784775","https://openalex.org/W3044619196","https://openalex.org/W3119898653","https://openalex.org/W3163995921","https://openalex.org/W3170404211","https://openalex.org/W3183800180","https://openalex.org/W3189507143","https://openalex.org/W3192052356","https://openalex.org/W3195220450","https://openalex.org/W3197432904","https://openalex.org/W3198097304","https://openalex.org/W3216004068","https://openalex.org/W4200500546","https://openalex.org/W4205176407","https://openalex.org/W4210787640","https://openalex.org/W4210909531","https://openalex.org/W4220923338","https://openalex.org/W4223657374","https://openalex.org/W4225824227","https://openalex.org/W4226237092","https://openalex.org/W4229363402","https://openalex.org/W4280545064","https://openalex.org/W4280603745","https://openalex.org/W4281931704","https://openalex.org/W4286447986","https://openalex.org/W4292085097","https://openalex.org/W4293061132","https://openalex.org/W4306366863","https://openalex.org/W4306758347","https://openalex.org/W4306766583","https://openalex.org/W4310818406","https://openalex.org/W4311496229","https://openalex.org/W4312204781","https://openalex.org/W4312836956","https://openalex.org/W4313068127","https://openalex.org/W4313547547","https://openalex.org/W4313561088","https://openalex.org/W4316039275","https://openalex.org/W4320037506"],"related_works":["https://openalex.org/W2005855784","https://openalex.org/W2104980824","https://openalex.org/W2092884976","https://openalex.org/W2259466628","https://openalex.org/W2312289872","https://openalex.org/W2765376021","https://openalex.org/W4300465691","https://openalex.org/W7216851153","https://openalex.org/W2181770806","https://openalex.org/W1954291282"],"abstract_inverted_index":{"In":[0],"the":[1,75,108],"current":[2],"investigation,":[3],"it":[4],"is":[5],"examined":[6],"numerically":[7],"entropy":[8],"generation":[9,36],"(EG)":[10],"on":[11,37],"inherent":[12],"irreversibility":[13],"motion":[14],"of":[15,28,59,67,78,80,119,148],"couple":[16,38],"stress":[17,39],"cold":[18],"liquid":[19,40,86],"with":[20,41,94],"porous":[21,42],"medium":[22],"via":[23,104],"Horizontal":[24],"channel":[25,81],"in":[26,48,55,135],"presence":[27],"viscous":[29],"dissipation.":[30],"Present":[31],"work":[32,45],"was":[33],"studied":[34],"heat":[35],"channel.":[43],"This":[44],"considerable":[46],"importance":[47],"many":[49],"industrial":[50],"applications":[51],"like":[52],"\u201cControl":[53],"Mechanism":[54],"Material":[56],"Manufacturing\u201d,":[57],"\u201cManufactures":[58],"Electronic":[60],"Chips\u201d,":[61],"\u201cCrystal":[62],"Formation\u201d,":[63],"\u201cScientific":[64],"Treatment":[65],"Problems":[66],"Irrigation\u201d,":[68],"\u201cSoil":[69],"Erosion":[70],"and":[71,127],"tile":[72],"drainage\u201d":[73],"are":[74,88],"present":[76],"focus":[77],"development":[79],"motion.":[82],"The":[83,99],"formulated":[84],"physical":[85],"equations":[87],"subsequently":[89],"calculated":[90],"by":[91,114,139],"shooting":[92],"technique":[93],"R-K-F":[95],"(\u201cRunge-Kutta":[96],"Fehlberg\u201d)":[97],"scheme.":[98],"velocity,":[100],"temperature":[101,111],"as":[102],"predicted":[103],"graphically.":[105],"we":[106],"found":[107],"velocity":[109],"dwindle,":[110],"high":[112],"production":[113],"an":[115,140],"escalating":[116],"statistical":[117],"value":[118],"K":[120],"(\u201cCouple":[121],"Stress":[122],"Parameter\u201d),":[123],"Ec":[124],"(\u201cEckert":[125],"number\u201d)":[126],"Q":[128],"(\u201cHeat":[129],"Generation":[130],"parameter\u201d)":[131],"respectively.":[132],"Gradient":[133],"constraint":[134],"addition":[136],"to":[137],"improve":[138],"enhancement":[141],"into":[142],"Bejan":[143],"number":[144],"for":[145],"various":[146],"values":[147],"\u201cpressure":[149],"gradient":[150],"parameter\u201d.":[151]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":13},{"year":2023,"cited_by_count":4}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2023-05-13T00:00:00"}