An Extremum Solution of the Monin-Obukhov Similarity Equations
An extremum hypothesis of turbulent transport in the atmospheric surface layer is postulated. The hypothesis has led to a unique solution of Monin–Obukhov similarity equations in terms of simple expressions linking shear stress (momentum flux) and heat flux to mean wind shear and temperature gradien...
| Main Authors: | , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | en_US |
| Published: |
American Meteorological Society
2010
|
| Online Access: | http://hdl.handle.net/1721.1/60345 https://orcid.org/0000-0003-0208-1935 |
| _version_ | 1826198558783569920 |
|---|---|
| author | Wang, Jingfeng Bras, Rafael L. |
| author2 | Massachusetts Institute of Technology. Department of Civil and Environmental Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Civil and Environmental Engineering Wang, Jingfeng Bras, Rafael L. |
| author_sort | Wang, Jingfeng |
| collection | MIT |
| description | An extremum hypothesis of turbulent transport in the atmospheric surface layer is postulated. The hypothesis has led to a unique solution of Monin–Obukhov similarity equations in terms of simple expressions linking shear stress (momentum flux) and heat flux to mean wind shear and temperature gradient. The extremum solution is consistent with the well-known asymptotic properties of the surface layer. Validation of the extremum solution has been made by comparison to field measurements of momentum and heat fluxes. Furthermore, a modeling test of predicting surface heat fluxes using the results of this work is presented. A critical reexamination of the interpretation of the Obukhov length is given. |
| first_indexed | 2024-09-23T11:06:45Z |
| format | Article |
| id | mit-1721.1/60345 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T11:06:45Z |
| publishDate | 2010 |
| publisher | American Meteorological Society |
| record_format | dspace |
| spelling | mit-1721.1/603452022-09-27T17:13:18Z An Extremum Solution of the Monin-Obukhov Similarity Equations Wang, Jingfeng Bras, Rafael L. Massachusetts Institute of Technology. Department of Civil and Environmental Engineering Parsons Laboratory for Environmental Science and Engineering (Massachusetts Institute of Technology) Wang, Jingfeng Wang, Jingfeng Bras, Rafael L. An extremum hypothesis of turbulent transport in the atmospheric surface layer is postulated. The hypothesis has led to a unique solution of Monin–Obukhov similarity equations in terms of simple expressions linking shear stress (momentum flux) and heat flux to mean wind shear and temperature gradient. The extremum solution is consistent with the well-known asymptotic properties of the surface layer. Validation of the extremum solution has been made by comparison to field measurements of momentum and heat fluxes. Furthermore, a modeling test of predicting surface heat fluxes using the results of this work is presented. A critical reexamination of the interpretation of the Obukhov length is given. United States. Army Research Office (Grant W911NF-07-1-0126) National Science Foundation (U.S.) (Grant EAR-0309594) United States. National Aeronautics and Space Administration (Grant NAG5-3726(TRMM)) (Grant NNG05GA17G) 2010-12-21T20:58:57Z 2010-12-21T20:58:57Z 2010-02 2009-02 Article http://purl.org/eprint/type/JournalArticle 0022-4928 1520-0469 http://hdl.handle.net/1721.1/60345 Wang, Jingfeng, and Rafael L Bras. “An Extremum Solution of the Monin–Obukhov Similarity Equations.” Journal of the Atmospheric Sciences 67.2 (2010): 485-499. © 2010 American Meteorological Society https://orcid.org/0000-0003-0208-1935 en_US http://dx.doi.org/10.1175/2009jas3117.1 Journal of the Atmospheric Sciences Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Meteorological Society American Meteorological Society |
| spellingShingle | Wang, Jingfeng Bras, Rafael L. An Extremum Solution of the Monin-Obukhov Similarity Equations |
| title | An Extremum Solution of the Monin-Obukhov Similarity Equations |
| title_full | An Extremum Solution of the Monin-Obukhov Similarity Equations |
| title_fullStr | An Extremum Solution of the Monin-Obukhov Similarity Equations |
| title_full_unstemmed | An Extremum Solution of the Monin-Obukhov Similarity Equations |
| title_short | An Extremum Solution of the Monin-Obukhov Similarity Equations |
| title_sort | extremum solution of the monin obukhov similarity equations |
| url | http://hdl.handle.net/1721.1/60345 https://orcid.org/0000-0003-0208-1935 |
| work_keys_str_mv | AT wangjingfeng anextremumsolutionofthemoninobukhovsimilarityequations AT brasrafaell anextremumsolutionofthemoninobukhovsimilarityequations AT wangjingfeng extremumsolutionofthemoninobukhovsimilarityequations AT brasrafaell extremumsolutionofthemoninobukhovsimilarityequations |