{"id":"https://openalex.org/W7214947729","doi":"https://doi.org/10.20535/2617-9741.3.2026.372393","title":"Trajectories of prill motion at the outlet of a vibropriller rotating basket of mineral fertilizer melt [in Ukrainian]","display_name":"Trajectories of prill motion at the outlet of a vibropriller rotating basket of mineral fertilizer melt [in Ukrainian]","publication_year":2026,"publication_date":"2026-09-28","ids":{"openalex":"https://openalex.org/W7214947729","doi":"https://doi.org/10.20535/2617-9741.3.2026.372393"},"language":"en","primary_location":{"id":"doi:10.20535/2617-9741.3.2026.372393","doi":"https://doi.org/10.20535/2617-9741.3.2026.372393","is_oa":true,"landing_page_url":"https://doi.org/10.20535/2617-9741.3.2026.372393","pdf_url":null,"source":{"id":"https://openalex.org/S4210185259","display_name":"Proceedings of the NTUU \u201cIgor Sikorsky KPI\u201d Series Chemical engineering ecology and resource saving","issn_l":"2306-1626","issn":["2306-1626","2617-9741","2664-1763"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj"],"host_organization":"https://openalex.org/P4310321142","host_organization_name":"Igor Sikorsky Kyiv Polytechnic Institute","host_organization_lineage":["https://openalex.org/P4310321142"],"host_organization_lineage_names":["Igor Sikorsky Kyiv Polytechnic Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the NTUU \u201cIgor Sikorsky KPI\u201d. Series: Chemical engineering, ecology and resource saving","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.20535/2617-9741.3.2026.372393","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5052863794","display_name":"Vsevolod Sklabinskyi","orcid":"https://orcid.org/0000-0001-9388-5861","observed_orcids":["https://orcid.org/0000-0001-9388-5861"]},"institutions":[{"id":"https://openalex.org/I25822123","display_name":"Sumy State University","ror":"https://ror.org/01w60n236","country_code":"UA","type":"education","lineage":["https://openalex.org/I25822123"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Vsevolod Sklabinskyi","raw_affiliation_strings":["\u0421\u0443\u043c\u0441\u044c\u043a\u0438\u0439 \u0434\u0435\u0440\u0436\u0430\u0432\u043d\u0438\u0439 \u0443\u043d\u0456\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442"],"raw_orcid":"https://orcid.org/0000-0001-9388-5861","affiliations":[{"raw_affiliation_string":"\u0421\u0443\u043c\u0441\u044c\u043a\u0438\u0439 \u0434\u0435\u0440\u0436\u0430\u0432\u043d\u0438\u0439 \u0443\u043d\u0456\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442","institution_ids":["https://openalex.org/I25822123"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5126468575","display_name":"\u0410\u043d\u0434\u0440\u0456\u0439 \u042e\u0440\u0456\u0439\u043e\u0432\u0438\u0447 \u041a\u0430\u0440\u0443\u0446\u044c\u043a\u0438\u0439","orcid":"https://orcid.org/0000-0003-1245-0116","observed_orcids":["https://orcid.org/0000-0003-1245-0116"]},"institutions":[{"id":"https://openalex.org/I25822123","display_name":"Sumy State University","ror":"https://ror.org/01w60n236","country_code":"UA","type":"education","lineage":["https://openalex.org/I25822123"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Andrii Karutskyi","raw_affiliation_strings":["\u0421\u0443\u043c\u0441\u044c\u043a\u0438\u0439 \u0434\u0435\u0440\u0436\u0430\u0432\u043d\u0438\u0439 \u0443\u043d\u0456\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442"],"raw_orcid":"https://orcid.org/0000-0003-1245-0116","affiliations":[{"raw_affiliation_string":"\u0421\u0443\u043c\u0441\u044c\u043a\u0438\u0439 \u0434\u0435\u0440\u0436\u0430\u0432\u043d\u0438\u0439 \u0443\u043d\u0456\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442","institution_ids":["https://openalex.org/I25822123"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I25822123"],"apc_list":{"value":300,"currency":"UAH","value_usd":null},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":"3","first_page":"42","last_page":"52"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11382","display_name":"Fluid Dynamics and Heat Transfer","score":0.4081999957561493,"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/T11382","display_name":"Fluid Dynamics and Heat Transfer","score":0.4081999957561493,"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/T12350","display_name":"Particle Dynamics in Fluid Flows","score":0.3991999924182892,"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/T13951","display_name":"Fluid dynamics and aerodynamics studies","score":0.07240000367164612,"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/aerodynamic-drag","display_name":"aerodynamic drag","score":0.7749999761581421},{"id":"https://openalex.org/keywords/circumferential-velocity","display_name":"circumferential velocity","score":0.75},{"id":"https://openalex.org/keywords/spiral-trajectory","display_name":"spiral trajectory","score":0.7070000171661377},{"id":"https://openalex.org/keywords/rayleigh-instability","display_name":"Rayleigh instability","score":0.7609999775886536},{"id":"https://openalex.org/keywords/cylindrical-coordinates","display_name":"cylindrical coordinates","score":0.5799999833106995},{"id":"https://openalex.org/keywords/newton-s-second-law","display_name":"Newton's second law","score":0.7020000219345093}],"concepts":[{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.6930999755859375},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.6184999942779541},{"id":"https://openalex.org/C13393347","wikidata":"https://www.wikidata.org/wiki/Q8424","display_name":"Aerodynamics","level":2,"score":0.5789999961853027},{"id":"https://openalex.org/C72921944","wikidata":"https://www.wikidata.org/wiki/Q206621","display_name":"Drag","level":2,"score":0.4593999981880188},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.4341000020503998},{"id":"https://openalex.org/C2777831296","wikidata":"https://www.wikidata.org/wiki/Q12518","display_name":"Tower","level":2,"score":0.4311000108718872},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.3492000102996826},{"id":"https://openalex.org/C14037181","wikidata":"https://www.wikidata.org/wiki/Q215007","display_name":"Equations of motion","level":2,"score":0.3481999933719635},{"id":"https://openalex.org/C132557482","wikidata":"https://www.wikidata.org/wiki/Q3299483","display_name":"Aerodynamic force","level":3,"score":0.33090001344680786},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.33070001006126404},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.32170000672340393},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.3046000003814697},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.3001999855041504},{"id":"https://openalex.org/C198394728","wikidata":"https://www.wikidata.org/wiki/Q3695508","display_name":"Vibration","level":2,"score":0.2964000105857849},{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.2955999970436096},{"id":"https://openalex.org/C145244895","wikidata":"https://www.wikidata.org/wiki/Q206621","display_name":"Aerodynamic drag","level":3,"score":0.29440000653266907},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2921000123023987},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.29120001196861267},{"id":"https://openalex.org/C174128100","wikidata":"https://www.wikidata.org/wiki/Q846907","display_name":"Spiral (railway)","level":2,"score":0.2782999873161316},{"id":"https://openalex.org/C65559279","wikidata":"https://www.wikidata.org/wiki/Q16667694","display_name":"Cubic function","level":2,"score":0.2619999945163727},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.25839999318122864},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.2583000063896179},{"id":"https://openalex.org/C166437778","wikidata":"https://www.wikidata.org/wiki/Q50695","display_name":"Quadratic function","level":3,"score":0.2583000063896179},{"id":"https://openalex.org/C124961601","wikidata":"https://www.wikidata.org/wiki/Q2518149","display_name":"Conical surface","level":2,"score":0.25589999556541443}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.20535/2617-9741.3.2026.372393","doi":"https://doi.org/10.20535/2617-9741.3.2026.372393","is_oa":true,"landing_page_url":"https://doi.org/10.20535/2617-9741.3.2026.372393","pdf_url":null,"source":{"id":"https://openalex.org/S4210185259","display_name":"Proceedings of the NTUU \u201cIgor Sikorsky KPI\u201d Series Chemical engineering ecology and resource saving","issn_l":"2306-1626","issn":["2306-1626","2617-9741","2664-1763"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj"],"host_organization":"https://openalex.org/P4310321142","host_organization_name":"Igor Sikorsky Kyiv Polytechnic Institute","host_organization_lineage":["https://openalex.org/P4310321142"],"host_organization_lineage_names":["Igor Sikorsky Kyiv Polytechnic Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the NTUU \u201cIgor Sikorsky KPI\u201d. Series: Chemical engineering, ecology and resource saving","raw_type":"journal-article"},{"id":"pmh:oai:ojs.journals.uran.ua:article/372393","doi":null,"is_oa":true,"landing_page_url":"https://chemengine.kpi.ua/article/view/372393","pdf_url":"https://chemengine.kpi.ua/article/download/372393/356004","source":{"id":"https://openalex.org/S4377196123","display_name":"Scientific periodicals of Ukraine","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","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"10.20535/2617-9741.3.2026","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.20535/2617-9741.3.2026.372393","doi":"https://doi.org/10.20535/2617-9741.3.2026.372393","is_oa":true,"landing_page_url":"https://doi.org/10.20535/2617-9741.3.2026.372393","pdf_url":null,"source":{"id":"https://openalex.org/S4210185259","display_name":"Proceedings of the NTUU \u201cIgor Sikorsky KPI\u201d Series Chemical engineering ecology and resource saving","issn_l":"2306-1626","issn":["2306-1626","2617-9741","2664-1763"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj"],"host_organization":"https://openalex.org/P4310321142","host_organization_name":"Igor Sikorsky Kyiv Polytechnic Institute","host_organization_lineage":["https://openalex.org/P4310321142"],"host_organization_lineage_names":["Igor Sikorsky Kyiv Polytechnic Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the NTUU \u201cIgor Sikorsky KPI\u201d. Series: Chemical engineering, ecology and resource saving","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Zero hunger","score":0.40450000762939453,"id":"https://metadata.un.org/sdg/2"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7214947729.pdf","grobid_xml":"https://content.openalex.org/works/W7214947729.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W2291811632","https://openalex.org/W2731474632","https://openalex.org/W2809198712","https://openalex.org/W3021495218","https://openalex.org/W3023301746","https://openalex.org/W3101738962","https://openalex.org/W3211412308","https://openalex.org/W4224226739","https://openalex.org/W4295008271","https://openalex.org/W4319297919","https://openalex.org/W4362634178","https://openalex.org/W4389225018","https://openalex.org/W4398140541","https://openalex.org/W4400115150","https://openalex.org/W4400694544","https://openalex.org/W4402521067","https://openalex.org/W4408951462","https://openalex.org/W4416300733","https://openalex.org/W4416309669","https://openalex.org/W7130660386","https://openalex.org/W7133294022","https://openalex.org/W7164954975"],"related_works":["https://openalex.org/W7214832321","https://openalex.org/W7133294022","https://openalex.org/W7133160020","https://openalex.org/W7204215917","https://openalex.org/W4295008271","https://openalex.org/W2390597198","https://openalex.org/W1925655708","https://openalex.org/W1589860313","https://openalex.org/W2960066969","https://openalex.org/W2035723178"],"abstract_inverted_index":{"The":[0,52,182,209,239,286,337,371],"subject":[1],"of":[2,8,15,54,65,68,78,84,91,107,114,152,163,184,197,204,235,250,283,303,340,356,374,381,386,394,431,446,458,475],"this":[3,85],"study":[4],"is":[5,24,57,126,187,211,273,348,407,436,441],"the":[6,12,26,48,55,60,76,82,88,97,102,108,134,139,143,153,158,161,185,194,202,236,256,269,276,281,284,293,301,341,354,357,362,366,375,379,387,391,397,402,424,429,432,437,455,459,476,485],"aerodynamics":[7],"prill":[9,17,70,79,93,103,199,309,315,403,449,478],"motion":[10],"in":[11,45,94,117,179,218,267,323,331,378,396,484],"working":[13],"space":[14],"a":[16,21,69,92,164,169,190,198,205,219,227,248,298,304,326,382,472],"tower":[18,66,71,115,135,316,364,389],"equipped":[19],"with":[20,47,96,226,253,325],"vibropriller,":[22],"which":[23,125,268,347,406],"among":[25],"most":[27,438],"efficient":[28],"devices":[29],"for":[30,193,312,361,410],"producing":[31],"monodisperse":[32],"mineral":[33],"fertilizer":[34],"prills":[35,395,422],"by":[36,260,264,292,464],"breaking":[37],"melt":[38,140],"jets":[39,130],"into":[40,453],"droplets":[41,132],"under":[42],"forced":[43],"vibration":[44],"accordance":[46],"Rayleigh":[49],"instability":[50],"criterion.":[51],"relevance":[53],"work":[56,186],"due":[58],"to":[59,128,138,188,247,255,420,471],"fact":[61],"that":[62,157,443],"engineering":[63,180,444],"calculations":[64,445],"height":[67],"require":[72],"reliable":[73],"information":[74],"about":[75],"trajectory":[77,86,159,196,302,343,359,434],"motion,":[80],"since":[81,467],"length":[83,339,355,435,480],"determines":[87],"residence":[89,392,482],"time":[90,393,483],"contact":[95],"cooling":[98,398,404],"air":[99,399],"and,":[100,427],"consequently,":[101,428],"strength":[104],"and":[105,131,145,263,280,320,401,448,481],"quality":[106],"final":[109],"product.":[110],"An":[111],"unjustified":[112],"increase":[113],"height,":[116,390],"turn,":[118],"considerably":[119],"raises":[120],"construction":[121],"costs.":[122],"Basket":[123],"rotation,":[124,466],"used":[127],"distribute":[129,421],"across":[133],"cross-section,":[136],"imparts":[137],"droplets,":[141],"besides":[142],"radial":[144],"axial":[146],"components,":[147],"an":[148,313],"additional":[149,433],"circumferential":[150,271,456],"component":[151,457],"initial":[154,265,270,460],"velocity,":[155],"so":[156],"takes":[160],"form":[162],"spatial":[165,195],"spiral":[166,342],"rather":[167],"than":[168,353],"plane":[170],"parabola.":[171],"This":[172],"effect":[173,430],"had":[174],"not":[175,369],"previously":[176],"been":[177],"quantified":[178],"terms.":[181],"aim":[183],"develop":[189],"calculation":[191,385],"method":[192],"formed":[200],"at":[201,334],"outlet":[203],"rotating":[206,333],"vibropriller":[207,327],"basket.":[208],"methodology":[210],"based":[212],"on":[213],"Newton's":[214],"second":[215],"law":[216],"written":[217],"cylindrical":[220],"coordinate":[221],"system":[222,249,288],"(r,":[223],"\u03b8,":[224],"z)":[225],"quadratic":[228],"aerodynamic":[229],"drag":[230],"force":[231],"acting":[232],"along":[233],"each":[234],"three":[237],"axes.":[238],"obtained":[240,360],"nonlinear":[241],"second-order":[242],"differential":[243],"equations":[244,252,262],"were":[245],"reduced":[246],"first-order":[251],"respect":[254],"velocity":[257,272,279,462],"projections,":[258],"complemented":[259],"kinematic":[261],"conditions":[266],"expressed":[274],"through":[275],"basket":[277,328,367,415,465],"angular":[278],"radius":[282],"hole.":[285],"resulting":[287],"was":[289,310],"solved":[290],"numerically":[291],"fourth-order":[294],"Runge\u2013Kutta":[295],"method.":[296],"As":[297],"computational":[299],"model,":[300],"2":[305],"mm":[306],"carbamide":[307],"(urea)":[308],"calculated":[311,338],"industrial":[314],"82":[317],"m":[318,322,330],"high":[319],"26":[321],"diameter,":[324],"0.5":[329],"diameter":[332],"180":[335],"rpm.":[336],"equals":[344],"136.48":[345],"m,":[346],"almost":[349],"1.5":[350],"times":[351],"greater":[352],"parabolic":[358],"same":[363],"when":[365],"does":[368],"rotate.":[370],"practical":[372],"significance":[373],"results":[376],"lies":[377],"possibility":[380],"more":[383],"accurate":[384],"required":[388,419],"flow":[400],"rate,":[405],"particularly":[408],"important":[409],"large-diameter":[411],"towers,":[412],"where":[413],"higher":[414],"rotation":[416],"speeds":[417],"are":[418],"over":[423],"entire":[425],"cross-section":[426],"pronounced.":[439],"It":[440],"concluded":[442],"vibroprillers":[447],"towers":[450],"must":[451],"take":[452],"account":[454],"droplet":[461],"caused":[463],"neglecting":[468],"it":[469],"leads":[470],"considerable":[473],"underestimation":[474],"real":[477],"path":[479],"tower.":[486]},"counts_by_year":[],"updated_date":"2026-11-13T13:42:25.865203","created_date":"2026-10-01T00:00:00"}
