{"refrec":{"BRefID":238435,"RR":"<b>Delhez, E.J.M.; Deleersnijder, E.</b> (2012). Residence and exposure times: when diffusion does not matter. <i>Ocean Dynamics 62(10-12)</i>: 1399-1407. <a href=\"http://dx.doi.org/10.1007/s10236-012-0568-y\" target=\"_blank\">dx.doi.org/10.1007/s10236-012-0568-y</a>","BEntID":230122,"PublicFlag":1,"CheckedFlag":1,"wosflag":1,"vabbflag":null,"RefStringPartII":". <i>Ocean Dynamics 62(10-12)</i>: 1399-1407. <a href=\"https://dx.doi.org/10.1007/s10236-012-0568-y\" target=\"_blank\">https://dx.doi.org/10.1007/s10236-012-0568-y</a>","DocTypID":8,"DocType":"Journal article","MarineFlag":0,"FreshFlag":0,"BrackishFlag":0,"TerrestrialFlag":0,"Authorstring":"Delhez, E.J.M.; Deleersnijder, E.","OrigTitleTranslFlag":0,"Authorstringtrunc":"Delhez, E.J.M.; Deleersnijder, E.","Englishabstract":"Under constant hydrodynamic conditions and assuming horizontal homogeneity, negatively buoyant particles released at the surface of the water column have a mean residence time in the surface mixed layer of h/w, where h is the thickness of the latter and w ( > 0) is the sinking velocity Deleersnijder (Environ Fluid Mech 6(6):541-547, 2006a). The residence time does not depend on the diffusivity and equals the settling timescale. We show that this behavior is a result of the particular boundary conditions of the problem and that it is related to a similar property of the exposure time in a one-dimensional infinite domain. In 1-D advection-diffusion problem with a constant and uniform velocity, the exposure time-which is a generalization of the residence time measuring the total time spent by a particle in a control domain allowing the particle to leave and reenter the control domain-is also equal to the advection timescale at the upstream boundary of the control domain. To explain this result, the concept of point exposure is introduced; the point exposure is the time integral of the concentration at a given location. It measures the integrated influence of a point release at a given location and is related to the concept of number of visits of the theory of random walks. We show that the point exposure takes a constant value downstream the point of release, even when the diffusivity varies in space. The analysis of this result reveals also that the integrated downstream transport of a passive tracer is only effected by advection. While the diffusion flux differs from zero at all times, its integrated value is strictly zero.","AbstractOtherLang":null,"BibLvlCode":"AS","StandardTitle":"Residence and exposure times: when diffusion does not matter","OrigTitleLangCode":"en","OrigTitleLangCodeExtended":"eng","OrigTitleLangID":15,"DateLastModified":{"date":"2024-12-10 01:33:17.368041","timezone_type":1,"timezone":"+01:00"},"UserAccessRight":null,"UserAccID":null,"AuthorKeywords":"Advection-diffusion; Residence time; Exposure time; CART</td>","OtherDescriptors":null,"Notes":null,"AnaPub":2012,"MonPub":null,"DateUpdate":"2015-10-29","DateCreate":"2014-05-18","SecASFANote":null,"ConfID":null,"PeerRev":1,"VlizCoreFlag":1,"WoScode":"WOS:000311517900001","VABBcode":null,"OpenAcc":0,"DOI":"10.1007/s10236-012-0568-y"},"refs":null,"anarec":{"AnaID":238435,"PubliDate":2012,"Pagination":"1399-1407","XtraPublOfAnaID":null,"ISBN":null,"Volume":"62","Issue":"10-12","BRefMon":null,"BRefMonRR":null,"BRefXtra":null,"BRefXtraRR":null,"SerBRefID":45486,"SerRR":"Ocean Dynamics. 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ISSN 1616-7341; e-ISSN 1616-7228","StandardTitleSer":"Ocean Dynamics","ISSN":"1616-7341","AbbrevSer":"Ocean Dynamics","StandardTitleMon":null,"StartPage":1399,"Pages":9,"ToPubliDate":null,"BRefBibLvlCode":"S","SerNotes":null},"monrec":null,"serrec":null,"relations":null,"relationsRev":null,"addrec":null,"othpubs":null,"ownerships":null,"authors":[{"AutName":"Delhez","Firstname":"Éric","Initials":"E.J.M.","Affiliation":"Université de Liège - MARE - Modélisation et Méthodes Mathématiques","Discriminator":null,"CorporateFlag":0,"BEntID":230122,"AutID":161431,"OrderNr":1,"DegrID":null,"EditorFlag":0,"CorrespFlag":0,"IllustratorFlag":0,"ReviserFlag":0,"TranslatorFlag":0,"InsAcronym":null,"InsFSN":"Université de Liège; Faculté des Sciences Appliquées; Département Aérospatiale et Mécanique; Mathematical Modeling and Methods","ORCID":null,"PersID":7106,"InsID":9726},{"AutName":"Deleersnijder","Firstname":"Eric","Initials":"E.","Affiliation":"Institute of Mechanics, Materials and Civil Engineering (IMMC), Université catholique de Louvain","Discriminator":null,"CorporateFlag":0,"BEntID":230122,"AutID":145935,"OrderNr":2,"DegrID":null,"EditorFlag":0,"CorrespFlag":0,"IllustratorFlag":0,"ReviserFlag":0,"TranslatorFlag":0,"InsAcronym":"IMMC","InsFSN":"Université Catholique de Louvain; Ecole Polytechnique de Louvain; Institute of Mechanics, Materials and Civil Engineering","ORCID":"0000-0003-0346-9667","PersID":3163,"InsID":11846}],"mapdetails":null,"datasets":null,"monographs":null,"monparts":null,"serparts":null,"BEntOpen":null,"BEntPrivate":null,"availability":[{"BInstID":279197,"LibID":36,"BRefID":238435,"EmbargoDate":null,"FullEmbargoDate":null,"PhysMedID":16,"hasOCRd":1,"ShelfLocCode":"279197","RFID":null,"PaidValue":null,"Medium":"Server","Description":null,"Acronym":"VLIZ","Library":"Vlaams Instituut voor de Zee","DutchTerm":"Open Marien Archief","URL":null,"ClassifID":235,"Classification":"Open Marine Archive","ReqLink":null,"ClassifTypID":5,"URLLocation":"https://www.vliz.be/imisdocs/publications/","SubDir":0,"InternalReq":0,"LoggedInReq":0,"Disclaimer":"Disclaimer_OMA","DutchDisclaimer":null,"FileFormat":".pdf","FileDescr":"pdf","InsPub":1,"InsID":36,"FileFormID":6,"LendableFlag":1,"PublicFlag":1,"orderLib":"A","Notes":null,"AccConID":null,"AccessConstraint":null,"LicURL":null}],"litstyles":null,"thespers":null,"arch2discl":null,"SERpubls":[{"PublName":"Springer-Verlag","City":"Berlin; Heidelberg; New York"}],"MONpubls":null,"pictures":[],"thestermsPath":null,"thestermsASFA":null,"taxtermsASFA":null,"geotermsASFA":null,"collections":[{"Collection":"OMA - Open Marien Archief","ShortName":"OMA"}],"conf":null,"proj":null,"Physdatasets":null,"spcols":{"222":{"SpName":"BMB - Belgische Mariene Bibliografie","SpColID":222,"ParSpColID":null,"TopParID":null,"ShortName":"BMB","URLLocation":null,"LibID":36,"OpenRepoFlag":null,"SpTypID":null,"TopParIDNotWebsite":null,"SpColPath":"BMB"},"221":{"SpName":"OMA - Open Marien Archief","SpColID":221,"ParSpColID":null,"TopParID":null,"ShortName":"OMA","URLLocation":null,"LibID":36,"OpenRepoFlag":1,"SpTypID":null,"TopParIDNotWebsite":null,"SpColPath":"OMA"}},"doi":null,"publs":null,"serparttypes":null,"monauthors":null,"MParts":null,"SParts":null,"hLibs":null,"langs":[{"BEntID":230122,"AbstractFlag":0,"LangID":15,"LangCode":"en","Lang":"English","DutchTerm":"Engels","LangCodeExtended":"eng"},{"BEntID":230122,"AbstractFlag":1,"LangID":15,"LangCode":"en","Lang":"English","DutchTerm":"Engels","LangCodeExtended":"eng"}],"urls":[{"URL":"https://dx.doi.org/10.1007/s10236-012-0568-y","externalID":"10.1007/s10236-012-0568-y","URLTypeCode":"DOI","URLID":34057,"URLTypID":13,"URLType":"DOI","URLPrefix":"http://dx.doi.org/"}],"thesterms":null,"taxterms":null,"geoterms":null,"othterms":null,"asfacodes":null,"asfa2codes":null,"thestermsFRIS":null,"taxtermsFRIS":null,"geotermsFRIS":null,"othtermsFRIS":null,"resmessage":"","complete":1,"sessions":{"newSesName":"Lyssens, Liesbeth, L.","newSesDate":{"date":"2014-05-18 21:53:46.440000","timezone_type":3,"timezone":"Europe/Brussels"},"updSesName":"Bouchti, Zohra, Z.","updSesDate":{"date":"2015-10-29 08:40:10.340000","timezone_type":3,"timezone":"Europe/Brussels"}}}