The Parameter Dependence of Eddy Heat Flux in a Homogeneous Quasigeostrophic Two-Layer Model on a β Plane with Quadratic Friction Article Swipe
Chiung-Yin Chang
,
Isaac M. Held
·
YOU?
·
· 2020
· Open Access
·
· DOI: https://doi.org/10.1175/jas-d-20-0145.1
YOU?
·
· 2020
· Open Access
·
· DOI: https://doi.org/10.1175/jas-d-20-0145.1
This study investigates the parameter dependence of eddy heat flux in a homogeneous quasigeostrophic two-layer model on a β plane with imposed environmental vertical wind shear and quadratic frictional drag. We examine the extent to which the results can be explained by a recently proposed diffusivity theory for passive tracers in two-dimensional turbulence. To account for the differences between two-layer and two-dimensional models, we modify the two-dimensional theory according to our two-layer f -plane analyses reported in an earlier study. Specifically, we replace the classic Kolmogorovian spectral slope, −5/3, assumed to predict eddy kinetic energy spectrum in the former with a larger slope, −7/3, suggested by a heuristic argument and fit to the model results in the latter. It is found that the modified theory provides a reasonable estimate within the regime where both and the strength of the frictional drag, , are much smaller than unity (here, c D is the nondimensional drag coefficient divided by the depth of the layer, k d is the wavenumber of deformation radius, and U is the imposed background vertical wind shear). For values of and that are closer to one, the theory works only if the full spectrum shape of the eddy kinetic energy is given. Despite the qualitative, fitting nature of this approach and its failure to explain the full parameter range, we believe its documentation here remains useful as a reference for the future attempt in pursuing a better theory.
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Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1175/jas-d-20-0145.1
- https://journals.ametsoc.org/downloadpdf/journals/atsc/78/1/jas-d-20-0145.1.pdf
- OA Status
- bronze
- Cited By
- 13
- References
- 23
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W3094997641
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Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W3094997641Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.1175/jas-d-20-0145.1Digital Object Identifier
- Title
-
The Parameter Dependence of Eddy Heat Flux in a Homogeneous Quasigeostrophic Two-Layer Model on a β Plane with Quadratic FrictionWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2020Year of publication
- Publication date
-
2020-10-26Full publication date if available
- Authors
-
Chiung-Yin Chang, Isaac M. HeldList of authors in order
- Landing page
-
https://doi.org/10.1175/jas-d-20-0145.1Publisher landing page
- PDF URL
-
https://journals.ametsoc.org/downloadpdf/journals/atsc/78/1/jas-d-20-0145.1.pdfDirect link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
bronzeOpen access status per OpenAlex
- OA URL
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https://journals.ametsoc.org/downloadpdf/journals/atsc/78/1/jas-d-20-0145.1.pdfDirect OA link when available
- Concepts
-
Mechanics, Physics, Drag, Eddy diffusion, Boundary layer, Turbulence modeling, Drag coefficient, Turbulence, Wavenumber, Heat flux, Energy flux, Classical mechanics, Geology, Heat transfer, Astronomy, OpticsTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
13Total citation count in OpenAlex
- Citations by year (recent)
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2025: 1, 2024: 3, 2023: 4, 2022: 3, 2021: 2Per-year citation counts (last 5 years)
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23Number of works referenced by this work
- Related works (count)
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10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.here | 226 |
| abstract_inverted_index.much | 144 |
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| abstract_inverted_index.drag, | 141 |
| abstract_inverted_index.drag. | 30 |
| abstract_inverted_index.found | 121 |
| abstract_inverted_index.model | 16, 114 |
| abstract_inverted_index.plane | 20 |
| abstract_inverted_index.shape | 197 |
| abstract_inverted_index.shear | 26 |
| abstract_inverted_index.study | 2 |
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| abstract_inverted_index.where | 133 |
| abstract_inverted_index.which | 36 |
| abstract_inverted_index.works | 191 |
| abstract_inverted_index.(here, | 148 |
| abstract_inverted_index.-plane | 74 |
| abstract_inverted_index.better | 239 |
| abstract_inverted_index.closer | 186 |
| abstract_inverted_index.energy | 95, 202 |
| abstract_inverted_index.extent | 34 |
| abstract_inverted_index.former | 99 |
| abstract_inverted_index.future | 234 |
| abstract_inverted_index.given. | 204 |
| abstract_inverted_index.larger | 102 |
| abstract_inverted_index.layer, | 162 |
| abstract_inverted_index.modify | 65 |
| abstract_inverted_index.nature | 209 |
| abstract_inverted_index.range, | 221 |
| abstract_inverted_index.regime | 132 |
| abstract_inverted_index.slope, | 88, 103 |
| abstract_inverted_index.study. | 80 |
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| abstract_inverted_index.useful | 228 |
| abstract_inverted_index.values | 181 |
| abstract_inverted_index.within | 130 |
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| abstract_inverted_index.assumed | 90 |
| abstract_inverted_index.attempt | 235 |
| abstract_inverted_index.believe | 223 |
| abstract_inverted_index.between | 59 |
| abstract_inverted_index.classic | 85 |
| abstract_inverted_index.divided | 156 |
| abstract_inverted_index.earlier | 79 |
| abstract_inverted_index.examine | 32 |
| abstract_inverted_index.explain | 217 |
| abstract_inverted_index.failure | 215 |
| abstract_inverted_index.fitting | 208 |
| abstract_inverted_index.imposed | 22, 175 |
| abstract_inverted_index.kinetic | 94, 201 |
| abstract_inverted_index.latter. | 118 |
| abstract_inverted_index.models, | 63 |
| abstract_inverted_index.passive | 49 |
| abstract_inverted_index.predict | 92 |
| abstract_inverted_index.radius, | 170 |
| abstract_inverted_index.remains | 227 |
| abstract_inverted_index.replace | 83 |
| abstract_inverted_index.results | 38, 115 |
| abstract_inverted_index.shear). | 179 |
| abstract_inverted_index.smaller | 145 |
| abstract_inverted_index.theory. | 240 |
| abstract_inverted_index.tracers | 50 |
| abstract_inverted_index.−5/3, | 89 |
| abstract_inverted_index.−7/3, | 104 |
| abstract_inverted_index.Abstract | 0 |
| abstract_inverted_index.analyses | 75 |
| abstract_inverted_index.approach | 212 |
| abstract_inverted_index.argument | 109 |
| abstract_inverted_index.estimate | 129 |
| abstract_inverted_index.modified | 124 |
| abstract_inverted_index.proposed | 45 |
| abstract_inverted_index.provides | 126 |
| abstract_inverted_index.pursuing | 237 |
| abstract_inverted_index.recently | 44 |
| abstract_inverted_index.reported | 76 |
| abstract_inverted_index.spectral | 87 |
| abstract_inverted_index.spectrum | 96, 196 |
| abstract_inverted_index.strength | 137 |
| abstract_inverted_index.vertical | 24, 177 |
| abstract_inverted_index.according | 69 |
| abstract_inverted_index.explained | 41 |
| abstract_inverted_index.heuristic | 108 |
| abstract_inverted_index.parameter | 5, 220 |
| abstract_inverted_index.quadratic | 28 |
| abstract_inverted_index.reference | 231 |
| abstract_inverted_index.suggested | 105 |
| abstract_inverted_index.two-layer | 15, 60, 72 |
| abstract_inverted_index.background | 176 |
| abstract_inverted_index.dependence | 6 |
| abstract_inverted_index.frictional | 29, 140 |
| abstract_inverted_index.reasonable | 128 |
| abstract_inverted_index.wavenumber | 167 |
| abstract_inverted_index.coefficient | 155 |
| abstract_inverted_index.deformation | 169 |
| abstract_inverted_index.differences | 58 |
| abstract_inverted_index.diffusivity | 46 |
| abstract_inverted_index.homogeneous | 13 |
| abstract_inverted_index.turbulence. | 53 |
| abstract_inverted_index.investigates | 3 |
| abstract_inverted_index.qualitative, | 207 |
| abstract_inverted_index.Kolmogorovian | 86 |
| abstract_inverted_index.Specifically, | 81 |
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| abstract_inverted_index.environmental | 23 |
| abstract_inverted_index.nondimensional | 153 |
| abstract_inverted_index.two-dimensional | 52, 62, 67 |
| abstract_inverted_index.quasigeostrophic | 14 |
| cited_by_percentile_year.max | 97 |
| cited_by_percentile_year.min | 91 |
| corresponding_author_ids | https://openalex.org/A5048178489 |
| countries_distinct_count | 1 |
| institutions_distinct_count | 2 |
| corresponding_institution_ids | https://openalex.org/I20089843 |
| sustainable_development_goals[0].id | https://metadata.un.org/sdg/7 |
| sustainable_development_goals[0].score | 0.7900000214576721 |
| sustainable_development_goals[0].display_name | Affordable and clean energy |
| citation_normalized_percentile.value | 0.81864532 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |