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Dostęp zamkniętyNondimensionalization of the Atmospheric Boundary-Layer System: Obukhov Length and Monin–Obukhov Similarity Theory
| cris.lastimport.scopus | 2024-02-12T20:53:08Z |
| dc.abstract.en | The Obukhov length, although often adopted as a characteristic scale of the atmospheric boundary layer, has been introduced purely based on a dimensional argument without a deductive derivation from the governing equations. Here, its derivation is pursued by the nondimensionalization method in the same manner as for the Rossby deformation radius and the Ekman-layer depth. Physical implications of the Obukhov length are inferred by nondimensionalizing the turbulence-kinetic-energy equation for the horizontally homogeneous boundary layer. A nondimensionalization length scale for a full set of equations for boundary-layer flow formally reduces to the Obukhov length by dividing this scale by a rescaling factor. This rescaling factor increases with increasing stable stratification of the boundary layer, in which flows tend to be more horizontal and gentler; thus the Obukhov length increasingly loses its relevance. A heuristic, but deductive, derivation of Monin–Obukhov similarity theory is also outlined based on the obtained nondimensionalization results. |
| dc.affiliation | Uniwersytet Warszawski |
| dc.contributor.author | Yano, Jun–Ichi |
| dc.contributor.author | Wacławczyk, Marta |
| dc.date.accessioned | 2024-01-25T13:50:50Z |
| dc.date.available | 2024-01-25T13:50:50Z |
| dc.date.issued | 2022 |
| dc.description.finance | Publikacja bezkosztowa |
| dc.description.volume | 182 |
| dc.identifier.doi | 10.1007/S10546-021-00657-7 |
| dc.identifier.issn | 0006-8314 |
| dc.identifier.uri | https://repozytorium.uw.edu.pl//handle/item/113838 |
| dc.identifier.weblink | https://link.springer.com/content/pdf/10.1007/s10546-021-00657-7.pdf |
| dc.language | eng |
| dc.pbn.affiliation | earth and related environmental sciences |
| dc.relation.ispartof | Boundary-Layer Meteorology |
| dc.relation.pages | 417-439 |
| dc.rights | ClosedAccess |
| dc.sciencecloud | nosend |
| dc.subject.en | Nondimensionalization scale |
| dc.subject.en | Obukhov length |
| dc.subject.en | Stably stratified turbulence |
| dc.subject.en | Turbulence-kinetic-energy equation |
| dc.subject.en | Vertical scale |
| dc.title | Nondimensionalization of the Atmospheric Boundary-Layer System: Obukhov Length and Monin–Obukhov Similarity Theory |
| dc.type | JournalArticle |
| dspace.entity.type | Publication |