{"id":"https://openalex.org/W2201048034","doi":"https://doi.org/10.1061/jeegav.0000462","title":"Solution for Radial-Flow with Nonlinear Adsorption","display_name":"Solution for Radial-Flow with Nonlinear Adsorption","publication_year":1976,"publication_date":"1976-02-01","ids":{"openalex":"https://openalex.org/W2201048034","doi":"https://doi.org/10.1061/jeegav.0000462","mag":"2201048034"},"language":"en","primary_location":{"id":"doi:10.1061/jeegav.0000462","doi":"https://doi.org/10.1061/jeegav.0000462","is_oa":false,"landing_page_url":"https://doi.org/10.1061/jeegav.0000462","pdf_url":null,"source":{"id":"https://openalex.org/S2764719521","display_name":"Journal of the Environmental Engineering Division","issn_l":"0090-3914","issn":["0090-3914","2690-2435"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310315747","host_organization_name":"American Society of Civil Engineers","host_organization_lineage":["https://openalex.org/P4310315747"],"host_organization_lineage_names":["American Society of Civil Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Environmental Engineering Division","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102172866","display_name":"Surendra P. Gupta","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Surendra P. Gupta","raw_affiliation_strings":["Sr. Research Engr., Amoco Production Co., Tulsa, Okla"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Sr. Research Engr., Amoco Production Co., Tulsa, Okla","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5114253209","display_name":"Robert A. Greenkorn","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Robert A. Greenkorn","raw_affiliation_strings":["Prof., School of Chemical Engrg., Purdue Univ., West Lafayette, Ind"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Prof., School of Chemical Engrg., Purdue Univ., West Lafayette, Ind","institution_ids":["https://openalex.org/I219193219"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.6772,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.89109639,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"102","issue":"1","first_page":"87","last_page":"94"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10894","display_name":"Groundwater flow and contamination studies","score":0.9345999956130981,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10894","display_name":"Groundwater flow and contamination studies","score":0.9345999956130981,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.031199999153614044,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13785","display_name":"Aquatic and Environmental Studies","score":0.011500000022351742,"subfield":{"id":"https://openalex.org/subfields/1904","display_name":"Earth-Surface Processes"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/radial-flow","display_name":"radial flow","score":0.9700000286102295},{"id":"https://openalex.org/keywords/nonlinear-sorption","display_name":"nonlinear sorption","score":0.9779999852180481},{"id":"https://openalex.org/keywords/freundlich-isotherm","display_name":"Freundlich isotherm","score":0.9190000295639038},{"id":"https://openalex.org/keywords/convection-diffusion-equation","display_name":"advection-diffusion equation","score":0.9350000023841858},{"id":"https://openalex.org/keywords/contaminant-transport","display_name":"contaminant transport","score":0.7599999904632568},{"id":"https://openalex.org/keywords/point-source","display_name":"point source","score":0.546999990940094},{"id":"https://openalex.org/keywords/crank-nicolson-method","display_name":"Crank-Nicolson scheme","score":0.8610000014305115},{"id":"https://openalex.org/keywords/numerical-dispersion","display_name":"numerical dispersion","score":0.7509999871253967},{"id":"https://openalex.org/keywords/finite-difference-approximation","display_name":"finite difference approximation","score":0.6259999871253967},{"id":"https://openalex.org/keywords/contaminated-water","display_name":"contaminated water","score":0.6129999756813049}],"concepts":[{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.6096532940864563},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5925832390785217},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.5339376330375671},{"id":"https://openalex.org/C180931078","wikidata":"https://www.wikidata.org/wiki/Q588725","display_name":"Crank\u2013Nicolson method","level":3,"score":0.4929778575897217},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.48575547337532043},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48334047198295593},{"id":"https://openalex.org/C177562468","wikidata":"https://www.wikidata.org/wiki/Q182893","display_name":"Dispersion (optics)","level":2,"score":0.4821026623249054},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4815147817134857},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.47222900390625},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3522278964519501},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3394676446914673},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.21041926741600037},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"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/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1061/jeegav.0000462","doi":"https://doi.org/10.1061/jeegav.0000462","is_oa":false,"landing_page_url":"https://doi.org/10.1061/jeegav.0000462","pdf_url":null,"source":{"id":"https://openalex.org/S2764719521","display_name":"Journal of the Environmental Engineering Division","issn_l":"0090-3914","issn":["0090-3914","2690-2435"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310315747","host_organization_name":"American Society of Civil Engineers","host_organization_lineage":["https://openalex.org/P4310315747"],"host_organization_lineage_names":["American Society of Civil Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Environmental Engineering Division","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Clean water and sanitation","id":"https://metadata.un.org/sdg/6","score":0.7778000235557556}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2075384475","https://openalex.org/W2081494332","https://openalex.org/W1971386554","https://openalex.org/W2121951182","https://openalex.org/W2378520824","https://openalex.org/W1979062640","https://openalex.org/W2006669401","https://openalex.org/W1968857621","https://openalex.org/W3032961212","https://openalex.org/W2020478899"],"abstract_inverted_index":{"A":[0],"nonlinear":[1],"convective":[2],"diffusion":[3],"equation":[4,38],"is":[5,39,56,70],"obtained":[6],"for":[7,58,72],"a":[8,64],"radial":[9],"flow":[10],"with":[11],"Freundlich":[12],"equilibrium":[13],"adsorption.":[14],"Numerical":[15],"solution":[16,55,69],"by":[17,41],"explicit":[18],"or":[19],"implicit":[20],"finite":[21,47],"difference":[22,48],"approximation":[23],"requires":[24],"large":[25],"computation":[26],"time":[27],"and":[28,44,76],"suffers":[29],"from":[30,63,82],"the":[31,51,59,74,80],"error":[32],"due":[33],"to":[34],"numerical":[35,68],"dispersion.":[36],"The":[37,54,67],"solved":[40],"an":[42],"efficient":[43],"higher":[45],"order":[46],"approximations,":[49],"i.e.,":[50],"Crank-Nicolson":[52],"method.":[53],"presented":[57],"movement":[60,78],"of":[61,79],"pollutants":[62],"point":[65],"source.":[66],"useful":[71],"studying":[73],"spatial":[75],"temporal":[77],"chemicals":[81],"contaminated":[83],"water.":[84]},"counts_by_year":[],"updated_date":"2026-09-23T05:00:35.095934","created_date":"2016-06-24T00:00:00"}