{"id":"https://openalex.org/W2093358288","doi":"https://doi.org/10.1155/2013/825376","title":"Exact Analytical Solution of the Peristaltic Nanofluids Flow in an Asymmetric Channel with Flexible Walls and Slip Condition: Application to the Cancer Treatment","display_name":"Exact Analytical Solution of the Peristaltic Nanofluids Flow in an Asymmetric Channel with Flexible Walls and Slip Condition: Application to the Cancer Treatment","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2093358288","doi":"https://doi.org/10.1155/2013/825376","mag":"2093358288","pmid":"https://pubmed.ncbi.nlm.nih.gov/24151526"},"language":"en","primary_location":{"id":"doi:10.1155/2013/825376","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/825376","pdf_url":"https://downloads.hindawi.com/journals/cmmm/2013/825376.pdf","source":{"id":"https://openalex.org/S36980176","display_name":"Computational and Mathematical Methods in Medicine","issn_l":"1748-670X","issn":["1748-670X","1748-6718"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Mathematical Methods in Medicine","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://downloads.hindawi.com/journals/cmmm/2013/825376.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5075207817","display_name":"Abdelhalim Ebaid","orcid":"https://orcid.org/0000-0002-1122-6297"},"institutions":[{"id":"https://openalex.org/I72264486","display_name":"University of Tabuk","ror":"https://ror.org/04yej8x59","country_code":"SA","type":"education","lineage":["https://openalex.org/I72264486"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Abdelhalim Ebaid","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk 71491, Saudi Arabia","Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk, 71491, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk 71491, Saudi Arabia","institution_ids":["https://openalex.org/I72264486"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk, 71491, Saudi Arabia","institution_ids":["https://openalex.org/I72264486"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023697020","display_name":"Emad H. Aly","orcid":"https://orcid.org/0000-0001-7432-193X"},"institutions":[{"id":"https://openalex.org/I107720978","display_name":"Ain Shams University","ror":"https://ror.org/00cb9w016","country_code":"EG","type":"education","lineage":["https://openalex.org/I107720978"]},{"id":"https://openalex.org/I185163786","display_name":"King Abdulaziz University","ror":"https://ror.org/02ma4wv74","country_code":"SA","type":"education","lineage":["https://openalex.org/I185163786"]}],"countries":["EG","SA"],"is_corresponding":true,"raw_author_name":"Emad H. Aly","raw_affiliation_strings":["Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Cairo 11757, Egypt","Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Cairo 11757, Egypt","institution_ids":["https://openalex.org/I107720978"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia","institution_ids":["https://openalex.org/I185163786"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5023697020"],"corresponding_institution_ids":["https://openalex.org/I107720978","https://openalex.org/I185163786"],"apc_list":{"value":2550,"currency":"USD","value_usd":2550},"apc_paid":{"value":2550,"currency":"USD","value_usd":2550},"fwci":3.9057,"has_fulltext":true,"cited_by_count":62,"citation_normalized_percentile":{"value":0.93703155,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"2013","issue":null,"first_page":"1","last_page":"8"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10104","display_name":"Nanofluid Flow and Heat Transfer","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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/T10104","display_name":"Nanofluid Flow and Heat Transfer","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9958000183105469,"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/T12063","display_name":"Heat and Mass Transfer in Porous Media","score":0.9939000010490417,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/nanofluid","display_name":"Nanofluid","score":0.9599744081497192},{"id":"https://openalex.org/keywords/peristalsis","display_name":"Peristalsis","score":0.7737131118774414},{"id":"https://openalex.org/keywords/thermophoresis","display_name":"Thermophoresis","score":0.7516388893127441},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.7449869513511658},{"id":"https://openalex.org/keywords/brownian-motion","display_name":"Brownian motion","score":0.6709959506988525},{"id":"https://openalex.org/keywords/slip","display_name":"Slip (aerodynamics)","score":0.6386376619338989},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.44449812173843384},{"id":"https://openalex.org/keywords/peristaltic-pump","display_name":"Peristaltic pump","score":0.4379788935184479},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.421044260263443},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2950946092605591},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.2526605725288391},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.23358392715454102},{"id":"https://openalex.org/keywords/heat-transfer","display_name":"Heat transfer","score":0.1097458004951477}],"concepts":[{"id":"https://openalex.org/C21946209","wikidata":"https://www.wikidata.org/wiki/Q1989679","display_name":"Nanofluid","level":3,"score":0.9599744081497192},{"id":"https://openalex.org/C206813253","wikidata":"https://www.wikidata.org/wiki/Q308695","display_name":"Peristalsis","level":2,"score":0.7737131118774414},{"id":"https://openalex.org/C15401063","wikidata":"https://www.wikidata.org/wiki/Q610090","display_name":"Thermophoresis","level":4,"score":0.7516388893127441},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.7449869513511658},{"id":"https://openalex.org/C112401455","wikidata":"https://www.wikidata.org/wiki/Q178036","display_name":"Brownian motion","level":2,"score":0.6709959506988525},{"id":"https://openalex.org/C195268267","wikidata":"https://www.wikidata.org/wiki/Q1928883","display_name":"Slip (aerodynamics)","level":2,"score":0.6386376619338989},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.44449812173843384},{"id":"https://openalex.org/C134519083","wikidata":"https://www.wikidata.org/wiki/Q650921","display_name":"Peristaltic pump","level":2,"score":0.4379788935184479},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.421044260263443},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2950946092605591},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.2526605725288391},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.23358392715454102},{"id":"https://openalex.org/C50517652","wikidata":"https://www.wikidata.org/wiki/Q179635","display_name":"Heat transfer","level":2,"score":0.1097458004951477},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008954","descriptor_name":"Models, Biological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008954","descriptor_name":"Models, Biological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008954","descriptor_name":"Models, Biological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D009369","descriptor_name":"Neoplasms","qualifier_ui":"Q000098","qualifier_name":"blood supply","is_major_topic":false},{"descriptor_ui":"D009369","descriptor_name":"Neoplasms","qualifier_ui":"Q000098","qualifier_name":"blood supply","is_major_topic":false},{"descriptor_ui":"D009369","descriptor_name":"Neoplasms","qualifier_ui":"Q000098","qualifier_name":"blood supply","is_major_topic":false},{"descriptor_ui":"D009369","descriptor_name":"Neoplasms","qualifier_ui":"Q000628","qualifier_name":"therapy","is_major_topic":false},{"descriptor_ui":"D009369","descriptor_name":"Neoplasms","qualifier_ui":"Q000628","qualifier_name":"therapy","is_major_topic":false},{"descriptor_ui":"D009369","descriptor_name":"Neoplasms","qualifier_ui":"Q000628","qualifier_name":"therapy","is_major_topic":false},{"descriptor_ui":"D010528","descriptor_name":"Peristalsis","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D010528","descriptor_name":"Peristalsis","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D010528","descriptor_name":"Peristalsis","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D018056","descriptor_name":"Hemorheology","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D018056","descriptor_name":"Hemorheology","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D018056","descriptor_name":"Hemorheology","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D036103","descriptor_name":"Nanotechnology","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D036103","descriptor_name":"Nanotechnology","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D036103","descriptor_name":"Nanotechnology","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D057446","descriptor_name":"Hydrodynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D057446","descriptor_name":"Hydrodynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D057446","descriptor_name":"Hydrodynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D058185","descriptor_name":"Magnetite Nanoparticles","qualifier_ui":"Q000008","qualifier_name":"administration & dosage","is_major_topic":false},{"descriptor_ui":"D058185","descriptor_name":"Magnetite Nanoparticles","qualifier_ui":"Q000008","qualifier_name":"administration & dosage","is_major_topic":false},{"descriptor_ui":"D058185","descriptor_name":"Magnetite Nanoparticles","qualifier_ui":"Q000008","qualifier_name":"administration & dosage","is_major_topic":false},{"descriptor_ui":"D058185","descriptor_name":"Magnetite Nanoparticles","qualifier_ui":"Q000627","qualifier_name":"therapeutic use","is_major_topic":false},{"descriptor_ui":"D058185","descriptor_name":"Magnetite Nanoparticles","qualifier_ui":"Q000627","qualifier_name":"therapeutic use","is_major_topic":false},{"descriptor_ui":"D058185","descriptor_name":"Magnetite Nanoparticles","qualifier_ui":"Q000627","qualifier_name":"therapeutic use","is_major_topic":false}],"locations_count":3,"locations":[{"id":"doi:10.1155/2013/825376","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/825376","pdf_url":"https://downloads.hindawi.com/journals/cmmm/2013/825376.pdf","source":{"id":"https://openalex.org/S36980176","display_name":"Computational and Mathematical Methods in Medicine","issn_l":"1748-670X","issn":["1748-670X","1748-6718"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Mathematical Methods in Medicine","raw_type":"journal-article"},{"id":"pmid:24151526","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/24151526","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and mathematical methods in medicine","raw_type":"Journal Article"},{"id":"pmh:oai:europepmc.org:2793238","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/3782820","pdf_url":null,"source":{"id":"https://openalex.org/S4306400806","display_name":"Europe PMC (PubMed Central)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1303153112","host_organization_name":"European Bioinformatics Institute","host_organization_lineage":["https://openalex.org/I1303153112"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1155/2013/825376","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/825376","pdf_url":"https://downloads.hindawi.com/journals/cmmm/2013/825376.pdf","source":{"id":"https://openalex.org/S36980176","display_name":"Computational and Mathematical Methods in Medicine","issn_l":"1748-670X","issn":["1748-670X","1748-6718"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Mathematical Methods in Medicine","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Good health and well-being","score":0.6800000071525574,"id":"https://metadata.un.org/sdg/3"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2093358288.pdf","grobid_xml":"https://content.openalex.org/works/W2093358288.grobid-xml"},"referenced_works_count":42,"referenced_works":["https://openalex.org/W94562832","https://openalex.org/W1570218333","https://openalex.org/W1968976482","https://openalex.org/W1976856894","https://openalex.org/W1977252749","https://openalex.org/W1978005123","https://openalex.org/W1981877496","https://openalex.org/W1983755582","https://openalex.org/W1984740145","https://openalex.org/W1986729597","https://openalex.org/W1998479917","https://openalex.org/W2011122820","https://openalex.org/W2020281782","https://openalex.org/W2020595836","https://openalex.org/W2022468771","https://openalex.org/W2023167709","https://openalex.org/W2026959196","https://openalex.org/W2041217400","https://openalex.org/W2045215390","https://openalex.org/W2046700148","https://openalex.org/W2049994439","https://openalex.org/W2050272220","https://openalex.org/W2052767494","https://openalex.org/W2062403680","https://openalex.org/W2062409798","https://openalex.org/W2073284083","https://openalex.org/W2073730670","https://openalex.org/W2079756397","https://openalex.org/W2079824894","https://openalex.org/W2084531997","https://openalex.org/W2092517055","https://openalex.org/W2102930432","https://openalex.org/W2116907541","https://openalex.org/W2134616821","https://openalex.org/W2134775529","https://openalex.org/W2140347230","https://openalex.org/W2314026596","https://openalex.org/W2334406442","https://openalex.org/W2413211762","https://openalex.org/W2979562792","https://openalex.org/W3007599434","https://openalex.org/W3106428302"],"related_works":["https://openalex.org/W4319068917","https://openalex.org/W2186603117","https://openalex.org/W4252399881","https://openalex.org/W3129902250","https://openalex.org/W4205455042","https://openalex.org/W2030822698","https://openalex.org/W2364161805","https://openalex.org/W3201488282","https://openalex.org/W2051136944","https://openalex.org/W4224305171"],"abstract_inverted_index":{"In":[0,55,82,113],"the":[1,9,14,24,27,32,36,53,58,62,76,84,87,95,111,121,125,154,163,168,175],"cancer":[2],"treatment,":[3],"magnetic":[4],"nanoparticles":[5,21],"are":[6,151,180],"injected":[7],"into":[8],"blood":[10,37],"vessel":[11],"nearest":[12],"to":[13],"cancer's":[15],"tissues.":[16],"The":[17,145],"dynamic":[18],"of":[19,26,35,52,66,86,124,138,167],"these":[20,115],"occurs":[22],"under":[23,43],"action":[25,45],"peristaltic":[28,64],"waves":[29],"generated":[30],"on":[31,94],"flexible":[33],"walls":[34],"vessel.":[38],"Studying":[39],"such":[40],"nanofluid":[41,67,140],"flow":[42,65,137],"this":[44,56],"is":[46],"therefore":[47,185],"useful":[48],"in":[49,110,132,162],"treating":[50],"tissues":[51],"cancer.":[54],"paper,":[57],"mathematical":[59],"model":[60],"describing":[61],"slip":[63,142],"was":[68,130],"analytically":[69],"investigated.":[70],"Exact":[71],"expressions":[72],"were":[73,101],"deduced":[74],"for":[75,165,192],"temperature":[77,96,169],"distribution":[78],"and":[79,90,97,103,158,171,178,184],"nano-particle":[80,98],"concentration.":[81,173],"addition,":[83],"effects":[85],"slip,":[88],"thermophoresis,":[89],"Brownian":[91],"motion":[92],"parameters":[93,128],"concentration":[99],"profiles":[100],"discussed":[102],"further":[104],"compared":[105],"with":[106,141],"other":[107],"approximate":[108],"results":[109,116,146,157,179],"literatures.":[112],"particular,":[114],"have":[117],"been":[118],"obtained":[119,161],"at":[120],"same":[122],"values":[123],"physical":[126],"examined":[127],"that":[129,148],"considered":[131,181],"Akbar":[133],"et":[134],"al.,":[135],"\"Peristaltic":[136],"a":[139,190],"effects,\"":[143],"2012.":[144],"reveal":[147],"remarkable":[149],"differences":[150],"detected":[152],"between":[153],"exact":[155],"current":[156,176],"those":[159],"approximately":[160],"literatures":[164],"behaviour":[166],"profile":[170],"nano-particles":[172],"Accordingly,":[174],"analysis":[177],"as":[182,189],"optimal":[183],"may":[186],"be":[187],"taken":[188],"base":[191],"any":[193],"future":[194],"comparisons.":[195]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":9},{"year":2013,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}