On the relationship between the roughness length of a scalar quantity and the corresponding sublayer-Stanton number
Considering Sheppard's effective diffusivity approach for the molecular-turbulent sublayer, the relationship between the roughness length of a scalar quantity, zp and the corresponding sublayer-Stanton number, Bi, ist re-formulated. This re-formulation leads to Bi-1 = k-1 ln (1+zo/zp), where zo...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Borntraeger
1995-11-01
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| Series: | Meteorologische Zeitschrift |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1127/metz/4/1995/209 |
| _version_ | 1827355822311604224 |
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| author | Gerhard Kramm Hans Müller Ralph Dlugi |
| author_facet | Gerhard Kramm Hans Müller Ralph Dlugi |
| author_sort | Gerhard Kramm |
| collection | DOAJ |
| description | Considering Sheppard's effective diffusivity approach for the molecular-turbulent sublayer, the relationship between the roughness length of a scalar quantity, zp and the corresponding sublayer-Stanton number, Bi, ist re-formulated. This re-formulation leads to Bi-1 = k-1 ln (1+zo/zp), where zo is the roughness length for momentum. Based on this equation, it is evident that (a) the relationship Bi-1 = k-1 ln (1+zo/zp commonly used is a doubtful approximation for the interfacial sublayer, and (b) the sublayer-Stanton number is positive-definite even if zp≥zo > 0. This is in contrast to negative Bi-1 values found in the literature. Moreover, it is shown that Bi-1 values derived with Sheppard's approach are much smaller than those provided by the more adequate Reichardt's approach. |
| first_indexed | 2024-03-08T04:48:53Z |
| format | Article |
| id | doaj.art-aec6f033c97d450ea7862e4687a9f441 |
| institution | Directory Open Access Journal |
| issn | 0941-2948 |
| language | English |
| last_indexed | 2024-03-08T04:48:53Z |
| publishDate | 1995-11-01 |
| publisher | Borntraeger |
| record_format | Article |
| series | Meteorologische Zeitschrift |
| spelling | doaj.art-aec6f033c97d450ea7862e4687a9f4412024-02-08T08:12:39ZengBorntraegerMeteorologische Zeitschrift0941-29481995-11-014520921210.1127/metz/4/1995/20989151On the relationship between the roughness length of a scalar quantity and the corresponding sublayer-Stanton numberGerhard KrammHans MüllerRalph DlugiConsidering Sheppard's effective diffusivity approach for the molecular-turbulent sublayer, the relationship between the roughness length of a scalar quantity, zp and the corresponding sublayer-Stanton number, Bi, ist re-formulated. This re-formulation leads to Bi-1 = k-1 ln (1+zo/zp), where zo is the roughness length for momentum. Based on this equation, it is evident that (a) the relationship Bi-1 = k-1 ln (1+zo/zp commonly used is a doubtful approximation for the interfacial sublayer, and (b) the sublayer-Stanton number is positive-definite even if zp≥zo > 0. This is in contrast to negative Bi-1 values found in the literature. Moreover, it is shown that Bi-1 values derived with Sheppard's approach are much smaller than those provided by the more adequate Reichardt's approach.http://dx.doi.org/10.1127/metz/4/1995/209molecular-turbulent sublayerdiffusionskoeffizient |
| spellingShingle | Gerhard Kramm Hans Müller Ralph Dlugi On the relationship between the roughness length of a scalar quantity and the corresponding sublayer-Stanton number Meteorologische Zeitschrift molecular-turbulent sublayer diffusionskoeffizient |
| title | On the relationship between the roughness length of a scalar quantity and the corresponding sublayer-Stanton number |
| title_full | On the relationship between the roughness length of a scalar quantity and the corresponding sublayer-Stanton number |
| title_fullStr | On the relationship between the roughness length of a scalar quantity and the corresponding sublayer-Stanton number |
| title_full_unstemmed | On the relationship between the roughness length of a scalar quantity and the corresponding sublayer-Stanton number |
| title_short | On the relationship between the roughness length of a scalar quantity and the corresponding sublayer-Stanton number |
| title_sort | on the relationship between the roughness length of a scalar quantity and the corresponding sublayer stanton number |
| topic | molecular-turbulent sublayer diffusionskoeffizient |
| url | http://dx.doi.org/10.1127/metz/4/1995/209 |
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