{"id":"https://openalex.org/W1964961763","doi":"https://doi.org/10.1155/2012/781845","title":"Unsteady Stagnation Point Flow and Heat Transfer over a Stretching/Shrinking Sheet with Suction or Injection","display_name":"Unsteady Stagnation Point Flow and Heat Transfer over a Stretching/Shrinking Sheet with Suction or Injection","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W1964961763","doi":"https://doi.org/10.1155/2012/781845","mag":"1964961763"},"language":"en","primary_location":{"id":"doi:10.1155/2012/781845","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/781845","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/781845.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2012/781845.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031201955","display_name":"Melini Suali","orcid":null},"institutions":[{"id":"https://openalex.org/I130343225","display_name":"Universiti Putra Malaysia","ror":"https://ror.org/02e91jd64","country_code":"MY","type":"education","lineage":["https://openalex.org/I130343225"]}],"countries":["MY"],"is_corresponding":true,"raw_author_name":"M. Suali","raw_affiliation_strings":["Department of Mathematics, Universiti Putra Malaysia, Selangor, 43400 Serdang"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Universiti Putra Malaysia, Selangor, 43400 Serdang","institution_ids":["https://openalex.org/I130343225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086151736","display_name":"Nik Mohd Asri Nik Long","orcid":"https://orcid.org/0000-0001-9493-2631"},"institutions":[{"id":"https://openalex.org/I130343225","display_name":"Universiti Putra Malaysia","ror":"https://ror.org/02e91jd64","country_code":"MY","type":"education","lineage":["https://openalex.org/I130343225"]}],"countries":["MY"],"is_corresponding":false,"raw_author_name":"N. M. A. Nik Long","raw_affiliation_strings":["Department of Mathematics, Universiti Putra Malaysia, Selangor, 43400 Serdang","Institute for Mathematical Research, Universiti Putra Malaysia, Selangor, 43400 Serdang"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Universiti Putra Malaysia, Selangor, 43400 Serdang","institution_ids":["https://openalex.org/I130343225"]},{"raw_affiliation_string":"Institute for Mathematical Research, Universiti Putra Malaysia, Selangor, 43400 Serdang","institution_ids":["https://openalex.org/I130343225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109574397","display_name":"N. M. Ariffin","orcid":null},"institutions":[{"id":"https://openalex.org/I130343225","display_name":"Universiti Putra Malaysia","ror":"https://ror.org/02e91jd64","country_code":"MY","type":"education","lineage":["https://openalex.org/I130343225"]}],"countries":["MY"],"is_corresponding":false,"raw_author_name":"N. M. Ariffin","raw_affiliation_strings":["Department of Mathematics, Universiti Putra Malaysia, Selangor, 43400 Serdang","Institute for Mathematical Research, Universiti Putra Malaysia, Selangor, 43400 Serdang"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Universiti Putra Malaysia, Selangor, 43400 Serdang","institution_ids":["https://openalex.org/I130343225"]},{"raw_affiliation_string":"Institute for Mathematical Research, Universiti Putra Malaysia, Selangor, 43400 Serdang","institution_ids":["https://openalex.org/I130343225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5031201955"],"corresponding_institution_ids":["https://openalex.org/I130343225"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":2.0738,"has_fulltext":true,"cited_by_count":26,"citation_normalized_percentile":{"value":0.85538945,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"2012","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10104","display_name":"Nanofluid Flow and Heat Transfer","score":0.9998000264167786,"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":0.9998000264167786,"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/T11945","display_name":"Heat Transfer Mechanisms","score":0.9998000264167786,"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"}},{"id":"https://openalex.org/T10998","display_name":"Heat Transfer and Optimization","score":0.9988999962806702,"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/nusselt-number","display_name":"Nusselt number","score":0.8148994445800781},{"id":"https://openalex.org/keywords/suction","display_name":"Suction","score":0.7750298380851746},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.6906010508537292},{"id":"https://openalex.org/keywords/stagnation-temperature","display_name":"Stagnation temperature","score":0.6885079145431519},{"id":"https://openalex.org/keywords/stagnation-point","display_name":"Stagnation point","score":0.6233341097831726},{"id":"https://openalex.org/keywords/matrix-similarity","display_name":"Matrix similarity","score":0.6112194657325745},{"id":"https://openalex.org/keywords/heat-transfer","display_name":"Heat transfer","score":0.5551441311836243},{"id":"https://openalex.org/keywords/parasitic-drag","display_name":"Parasitic drag","score":0.530663788318634},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.49108195304870605},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.47351861000061035},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.4505985379219055},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.40664243698120117},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.30089783668518066},{"id":"https://openalex.org/keywords/boundary-layer","display_name":"Boundary layer","score":0.2553528845310211},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2498413324356079},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16908329725265503},{"id":"https://openalex.org/keywords/reynolds-number","display_name":"Reynolds number","score":0.09755250811576843},{"id":"https://openalex.org/keywords/turbulence","display_name":"Turbulence","score":0.06839501857757568}],"concepts":[{"id":"https://openalex.org/C130230704","wikidata":"https://www.wikidata.org/wiki/Q898280","display_name":"Nusselt number","level":4,"score":0.8148994445800781},{"id":"https://openalex.org/C23795335","wikidata":"https://www.wikidata.org/wiki/Q1790295","display_name":"Suction","level":2,"score":0.7750298380851746},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.6906010508537292},{"id":"https://openalex.org/C136387016","wikidata":"https://www.wikidata.org/wiki/Q1119919","display_name":"Stagnation temperature","level":4,"score":0.6885079145431519},{"id":"https://openalex.org/C9715774","wikidata":"https://www.wikidata.org/wiki/Q651142","display_name":"Stagnation point","level":3,"score":0.6233341097831726},{"id":"https://openalex.org/C39739852","wikidata":"https://www.wikidata.org/wiki/Q254491","display_name":"Matrix similarity","level":3,"score":0.6112194657325745},{"id":"https://openalex.org/C50517652","wikidata":"https://www.wikidata.org/wiki/Q179635","display_name":"Heat transfer","level":2,"score":0.5551441311836243},{"id":"https://openalex.org/C16201104","wikidata":"https://www.wikidata.org/wiki/Q2488092","display_name":"Parasitic drag","level":3,"score":0.530663788318634},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.49108195304870605},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.47351861000061035},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.4505985379219055},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.40664243698120117},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30089783668518066},{"id":"https://openalex.org/C111603439","wikidata":"https://www.wikidata.org/wiki/Q752193","display_name":"Boundary layer","level":2,"score":0.2553528845310211},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2498413324356079},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16908329725265503},{"id":"https://openalex.org/C182748727","wikidata":"https://www.wikidata.org/wiki/Q178932","display_name":"Reynolds number","level":3,"score":0.09755250811576843},{"id":"https://openalex.org/C196558001","wikidata":"https://www.wikidata.org/wiki/Q190132","display_name":"Turbulence","level":2,"score":0.06839501857757568}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1155/2012/781845","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/781845","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/781845.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:psasir.upm.edu.my:25306","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4377196260","display_name":"Universiti Putra Malaysia Institutional Repository (Universiti Putra Malaysia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I130343225","host_organization_name":"Universiti Putra Malaysia","host_organization_lineage":["https://openalex.org/I130343225"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"PeerReviewed"},{"id":"pmh:oai:CULeuclid:euclid.jam/1355495160","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jam/1355495160","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:781845","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2012/781845.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:3eaaf03cd5034e3793dd7189bdecd2aa","is_oa":true,"landing_page_url":"https://doaj.org/article/3eaaf03cd5034e3793dd7189bdecd2aa","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2012 (2012)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2012/781845","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/781845","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/781845.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.6100000143051147,"id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G1091993446","display_name":null,"funder_award_id":"03-11-08-670F","funder_id":"https://openalex.org/F4320321147","funder_display_name":"Ministry of Higher Education"}],"funders":[{"id":"https://openalex.org/F4320321147","display_name":"Ministry of Higher Education","ror":"https://ror.org/0512bh102"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1964961763.pdf","grobid_xml":"https://content.openalex.org/works/W1964961763.grobid-xml"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W1974831709","https://openalex.org/W1975760433","https://openalex.org/W1977259864","https://openalex.org/W1986087126","https://openalex.org/W1994519244","https://openalex.org/W2038038543","https://openalex.org/W2038554590","https://openalex.org/W2040130372","https://openalex.org/W2048568104","https://openalex.org/W2051541193","https://openalex.org/W2053439631","https://openalex.org/W2063534287","https://openalex.org/W2064084029","https://openalex.org/W2064964639","https://openalex.org/W2071617754","https://openalex.org/W2072451223","https://openalex.org/W2076332238","https://openalex.org/W2082727206","https://openalex.org/W2083717070","https://openalex.org/W2091133465","https://openalex.org/W2091695103","https://openalex.org/W2092139299","https://openalex.org/W2103576755","https://openalex.org/W2128352847","https://openalex.org/W2142418682","https://openalex.org/W2167142714","https://openalex.org/W2189169159","https://openalex.org/W2511343950","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2067027371","https://openalex.org/W2255536435","https://openalex.org/W2143612257","https://openalex.org/W2058899509","https://openalex.org/W2071779395","https://openalex.org/W2043417695","https://openalex.org/W2184373730","https://openalex.org/W1594979464","https://openalex.org/W1989887810","https://openalex.org/W2789651651"],"abstract_inverted_index":{"The":[0,16],"unsteady":[1],"stagnation":[2],"point":[3],"flow":[4],"and":[5,32,37,52,98],"heat":[6],"transfer":[7],"over":[8],"a":[9,29],"stretching/shrinking":[10],"sheet":[11],"with":[12,95,100],"suction/injection":[13],"is":[14,65,79],"studied.":[15],"governing":[17,62],"partial":[18],"differential":[19,26],"equations":[20,27],"are":[21,40,55],"converted":[22],"into":[23],"nonlinear":[24],"ordinary":[25],"using":[28],"similarity":[30],"transformation":[31],"solved":[33],"numerically.":[34],"Both":[35],"stretching":[36,83],"shrinking":[38,74],"cases":[39],"considered.":[41],"Results":[42],"for":[43,57,72,81],"the":[44,61,68,73,77,82,89],"skin":[45],"friction":[46],"coefficient,":[47],"local":[48],"Nusselt":[49],"number,":[50],"velocity,":[51],"temperature":[53],"profiles":[54],"presented":[56],"different":[58],"values":[59],"of":[60,91],"parameters.":[63],"It":[64],"found":[66],"that":[67,88],"dual":[69,92],"solutions":[70,93],"exist":[71],"case,":[75],"whereas":[76],"solution":[78],"unique":[80],"case.":[84],"Numerical":[85],"results":[86],"show":[87],"range":[90],"increases":[94],"mass":[96,101],"suction":[97],"decreases":[99],"injection.":[102]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":4},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
