{"id":"https://openalex.org/W291908791","doi":null,"title":"Approximate Analytical Solution of Non-linear Kinetic Equation in a Porous Pellet","display_name":"Approximate Analytical Solution of Non-linear Kinetic Equation in a Porous Pellet","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W291908791","mag":"291908791"},"language":"en","primary_location":{"id":"mag:291908791","doi":null,"is_oa":true,"landing_page_url":"http://www.i-scholar.in/index.php/gjpam/article/view/39706","pdf_url":null,"source":{"id":"https://openalex.org/S2765025936","display_name":"Global Journal of Pure and Applied Sciences","issn_l":"1118-0579","issn":["1118-0579","2992-4464"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["jpps-1"],"host_organization":"https://openalex.org/P4310321518","host_organization_name":"African Journals OnLine","host_organization_lineage":["https://openalex.org/P4310321518"],"host_organization_lineage_names":["African Journals OnLine"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Global Journal of Pure and Applied Sciences","raw_type":null},"volume":null,"type":"article","indexed_in":[],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"http://www.i-scholar.in/index.php/gjpam/article/view/39706","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035465987","display_name":"Vembu Ananthaswamy","orcid":"https://orcid.org/0000-0002-2938-8745","observed_orcids":["https://orcid.org/0000-0002-2938-8745"]},"institutions":[{"id":"https://openalex.org/I4405255910","display_name":"The Madura College","ror":"https://ror.org/03j74rs53","country_code":"IN","type":"education","lineage":["https://openalex.org/I4405255910"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"V. Ananthaswamy","raw_affiliation_strings":["Department of Mathematics, The Madura College, Madurai-625011, Tamil Nadu"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The Madura College, Madurai-625011, Tamil Nadu","institution_ids":["https://openalex.org/I4405255910"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078476019","display_name":"Lakshmanan Rajendran","orcid":"https://orcid.org/0000-0002-2003-4553","observed_orcids":["https://orcid.org/0000-0002-2003-4553"]},"institutions":[{"id":"https://openalex.org/I4405255910","display_name":"The Madura College","ror":"https://ror.org/03j74rs53","country_code":"IN","type":"education","lineage":["https://openalex.org/I4405255910"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"L. Rajendran","raw_affiliation_strings":["Department of Mathematics, The Madura College, Madurai-625011, Tamil Nadu"],"raw_orcid":"https://orcid.org/0000-0002-2003-4553","affiliations":[{"raw_affiliation_string":"Department of Mathematics, The Madura College, Madurai-625011, Tamil Nadu","institution_ids":["https://openalex.org/I4405255910"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4405255910"],"apc_list":null,"apc_paid":null,"fwci":1.4215,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.81268131,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":96},"biblio":{"volume":"8","issue":"2","first_page":"101","last_page":"111"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.5839999914169312,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.5839999914169312,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T12063","display_name":"Heat and Mass Transfer in Porous Media","score":0.3418000042438507,"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/T10404","display_name":"Enzyme Catalysis and Immobilization","score":0.02969999983906746,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/immobilized-enzymes","display_name":"immobilized enzymes","score":0.8169999718666077},{"id":"https://openalex.org/keywords/porous-spherical-particles","display_name":"porous spherical particles","score":0.8040000200271606},{"id":"https://openalex.org/keywords/michaelis-menten-kinetics","display_name":"Michaelis-Menten kinetics","score":0.9860000014305115},{"id":"https://openalex.org/keywords/thiele-modulus","display_name":"Thiele modulus","score":0.8500000238418579},{"id":"https://openalex.org/keywords/reaction-diffusion-systems","display_name":"reaction-diffusion systems","score":0.878000020980835},{"id":"https://openalex.org/keywords/homotopy-perturbation-method","display_name":"homotopy perturbation method","score":0.9430000185966492},{"id":"https://openalex.org/keywords/approximate-analytical-solutions","display_name":"approximate analytical solutions","score":0.8029999732971191},{"id":"https://openalex.org/keywords/zero-order-reaction","display_name":"zero-order reaction","score":0.6859999895095825},{"id":"https://openalex.org/keywords/first-order-reaction","display_name":"first-order reaction","score":0.996999979019165},{"id":"https://openalex.org/keywords/second-order-reaction","display_name":"second-order reaction","score":1.0}],"concepts":[{"id":"https://openalex.org/C91328119","wikidata":"https://www.wikidata.org/wiki/Q17030668","display_name":"Homotopy perturbation method","level":3,"score":0.5745558738708496},{"id":"https://openalex.org/C17923525","wikidata":"https://www.wikidata.org/wiki/Q527229","display_name":"Pellet","level":2,"score":0.5634176135063171},{"id":"https://openalex.org/C148898269","wikidata":"https://www.wikidata.org/wiki/Q1108792","display_name":"Kinetics","level":2,"score":0.5527889132499695},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.5156120657920837},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5034076571464539},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.4954487085342407},{"id":"https://openalex.org/C121231716","wikidata":"https://www.wikidata.org/wiki/Q901210","display_name":"Reaction\u2013diffusion system","level":2,"score":0.47701454162597656},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.450277715921402},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.4395354390144348},{"id":"https://openalex.org/C2777289219","wikidata":"https://www.wikidata.org/wiki/Q7632154","display_name":"Substrate (aquarium)","level":2,"score":0.41941455006599426},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.3978675901889801},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.34922945499420166},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2510665953159332},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.14876723289489746},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.07136273384094238},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.07022210955619812},{"id":"https://openalex.org/C111368507","wikidata":"https://www.wikidata.org/wiki/Q43518","display_name":"Oceanography","level":1,"score":0.0},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:291908791","doi":null,"is_oa":true,"landing_page_url":"http://www.i-scholar.in/index.php/gjpam/article/view/39706","pdf_url":null,"source":{"id":"https://openalex.org/S2765025936","display_name":"Global Journal of Pure and Applied Sciences","issn_l":"1118-0579","issn":["1118-0579","2992-4464"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["jpps-1"],"host_organization":"https://openalex.org/P4310321518","host_organization_name":"African Journals OnLine","host_organization_lineage":["https://openalex.org/P4310321518"],"host_organization_lineage_names":["African Journals OnLine"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Global Journal of Pure and Applied Sciences","raw_type":null}],"best_oa_location":{"id":"mag:291908791","doi":null,"is_oa":true,"landing_page_url":"http://www.i-scholar.in/index.php/gjpam/article/view/39706","pdf_url":null,"source":{"id":"https://openalex.org/S2765025936","display_name":"Global Journal of Pure and Applied Sciences","issn_l":"1118-0579","issn":["1118-0579","2992-4464"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["jpps-1"],"host_organization":"https://openalex.org/P4310321518","host_organization_name":"African Journals OnLine","host_organization_lineage":["https://openalex.org/P4310321518"],"host_organization_lineage_names":["African Journals OnLine"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Global Journal of Pure and Applied Sciences","raw_type":null},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1035436066","https://openalex.org/W1560556759","https://openalex.org/W1604980643","https://openalex.org/W1970467391","https://openalex.org/W1989266841","https://openalex.org/W1994551774","https://openalex.org/W2002138473","https://openalex.org/W2003806194","https://openalex.org/W2008095720","https://openalex.org/W2016995783","https://openalex.org/W2039823633","https://openalex.org/W2050943168","https://openalex.org/W2058463483","https://openalex.org/W2061589298","https://openalex.org/W2062580415","https://openalex.org/W2063450623","https://openalex.org/W2069051364","https://openalex.org/W2083537208","https://openalex.org/W2086071720","https://openalex.org/W2096225603","https://openalex.org/W2121038000","https://openalex.org/W2165917005","https://openalex.org/W2295169085","https://openalex.org/W2312265575","https://openalex.org/W2314902000","https://openalex.org/W2323524020","https://openalex.org/W2325195382","https://openalex.org/W2507590856"],"related_works":["https://openalex.org/W4386394805","https://openalex.org/W2009419569","https://openalex.org/W7095234841","https://openalex.org/W4391786689","https://openalex.org/W3206510735","https://openalex.org/W7220590781","https://openalex.org/W4399086963","https://openalex.org/W2121091949","https://openalex.org/W3095915085","https://openalex.org/W2705564057"],"abstract_inverted_index":{"A":[0],"mathematical":[1],"model":[2,14],"for":[3,34,58,66],"immobilized":[4,59],"enzyme":[5,60],"system":[6],"in":[7,62],"porous":[8,63],"spherical":[9,64],"particles":[10,65],"was":[11,32],"developed.":[12],"This":[13],"contains":[15],"a":[16],"non-linear":[17,85],"term":[18],"related":[19],"to":[20,28,83],"reversible":[21],"Micahlies-":[22],"Menten":[23],"kinetics.":[24],"Analytical":[25],"expression":[26],"pertaining":[27],"the":[29,53],"substrate":[30],"concentration":[31,57],"reported":[33],"all":[35],"possible":[36],"values":[37],"of":[38],"Thiele":[39],"module\u03c6":[40],",":[41],"parameters":[42],"c":[43],"and":[44,71],"k":[45],"s":[46],".":[47],"In":[48],"this":[49],"work,":[50],"we":[51,77],"report":[52],"theoretically":[54],"evaluated":[55],"steady-state":[56],"systems":[61],"zero":[67],"order,":[68],"first":[69],"order":[70,73],"second":[72],"reaction":[74,86],"meacnisms.":[75],"Herein":[76],"employ":[78],"Homotopy":[79],"perturbation":[80],"method":[81],"(HPM)":[82],"solve":[84],"/diffusion":[87],"equation.":[88]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2016-06-24T00:00:00"}