Investigation on large responses of the streamwise velocity with the effect of spanwise Lorentz force Article Swipe
Chenglong Zhang
,
Daiwen Jiang
,
Hui Zhang
·
YOU?
·
· 2020
· Open Access
·
· DOI: https://doi.org/10.1088/1742-6596/1507/10/102041
YOU?
·
· 2020
· Open Access
·
· DOI: https://doi.org/10.1088/1742-6596/1507/10/102041
The flow of a weakly conductive fluid (i.e. seawater) can be controlled by Lorentz forces generated by the suitably chosen magnetic and electric fields, which has significant effects for applications in the drag reduction and oscillatory suppression. However, the control efficiency is very low due to the application of large amplitude for Lorentz force. Therefore, the large response, induced by a small Lorentz force, is the key to enhance the flow control efficiency. In this paper, the amplification mechanism of the velocity response with the effect of Lorentz force in weakly conductive fluids is investigated, where the Lorentz force is applied on the lower wall in the channel. The analytic solutions of the velocity responses in linear stage are derived with linear stability theory, when the amplitude of Lorentz force is far less than 1. From the discussions of the analytic solutions, the mechanism is revealed on large responses which is induced by the small Lorentz force in the flow field. The results show that the flow along the spanwise direction is induced by Lorentz force, which leads to the momentum exchange of fluids in the wall-normal direction. Therefore, the large responses of velocity are generated due to the high-speed fluids transferring to the wall. Moreover, the responses depend on the parameters of Lorentz force, i.e. wave number K z , effective penetration Δ, including proportional to amplitude A and square of Reynolds number Re 2 . With the increase of K z , the response decreases monotonously. However, with the increase of Δ, the response increases first (Δ<0.4), reaches the maximum at Δ=0.4, and then decreases (Δ>0.4). Finally, the maximum response is obtained and the corresponding amplification is 480, when the two parameters are optimized, i.e. K z =2, Δ=0.4.
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1088/1742-6596/1507/10/102041
- OA Status
- diamond
- References
- 7
- Related Works
- 10
- OpenAlex ID
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Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W3041142846Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1088/1742-6596/1507/10/102041Digital Object Identifier
- Title
-
Investigation on large responses of the streamwise velocity with the effect of spanwise Lorentz forceWork title
- Type
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articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
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2020Year of publication
- Publication date
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2020-03-01Full publication date if available
- Authors
-
Chenglong Zhang, Daiwen Jiang, Hui ZhangList of authors in order
- Landing page
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https://doi.org/10.1088/1742-6596/1507/10/102041Publisher landing page
- Open access
-
YesWhether a free full text is available
- OA status
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diamondOpen access status per OpenAlex
- OA URL
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https://doi.org/10.1088/1742-6596/1507/10/102041Direct OA link when available
- Concepts
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Lorentz force, Physics, Mechanics, Lorentz transformation, Reynolds number, Amplitude, Classical mechanics, Drag, Force density, Magnetic field, Optics, Quantum mechanics, TurbulenceTop concepts (fields/topics) attached by OpenAlex
- Cited by
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0Total citation count in OpenAlex
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- Related works (count)
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10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.force | 89, 99, 130, 157 |
| abstract_inverted_index.large | 50, 57, 148, 191 |
| abstract_inverted_index.leads | 178 |
| abstract_inverted_index.lower | 104 |
| abstract_inverted_index.small | 62, 155 |
| abstract_inverted_index.stage | 118 |
| abstract_inverted_index.wall. | 205 |
| abstract_inverted_index.where | 96 |
| abstract_inverted_index.which | 25, 150, 177 |
| abstract_inverted_index.chosen | 20 |
| abstract_inverted_index.depend | 209 |
| abstract_inverted_index.effect | 86 |
| abstract_inverted_index.field. | 161 |
| abstract_inverted_index.fluids | 93, 184, 201 |
| abstract_inverted_index.force, | 64, 176, 215 |
| abstract_inverted_index.force. | 54 |
| abstract_inverted_index.forces | 15 |
| abstract_inverted_index.linear | 117, 122 |
| abstract_inverted_index.number | 218, 234 |
| abstract_inverted_index.paper, | 76 |
| abstract_inverted_index.square | 231 |
| abstract_inverted_index.weakly | 5, 91 |
| abstract_inverted_index.Lorentz | 14, 53, 63, 88, 98, 129, 156, 175, 214 |
| abstract_inverted_index.applied | 101 |
| abstract_inverted_index.control | 40, 72 |
| abstract_inverted_index.derived | 120 |
| abstract_inverted_index.effects | 28 |
| abstract_inverted_index.enhance | 69 |
| abstract_inverted_index.fields, | 24 |
| abstract_inverted_index.induced | 59, 152, 173 |
| abstract_inverted_index.maximum | 262, 271 |
| abstract_inverted_index.reaches | 260 |
| abstract_inverted_index.results | 163 |
| abstract_inverted_index.theory, | 124 |
| abstract_inverted_index.Δ=0.4, | 264 |
| abstract_inverted_index.Δ=0.4. | 291 |
| abstract_inverted_index.Abstract | 0 |
| abstract_inverted_index.Finally, | 269 |
| abstract_inverted_index.However, | 38, 249 |
| abstract_inverted_index.Reynolds | 233 |
| abstract_inverted_index.analytic | 110, 141 |
| abstract_inverted_index.channel. | 108 |
| abstract_inverted_index.electric | 23 |
| abstract_inverted_index.exchange | 182 |
| abstract_inverted_index.increase | 240, 252 |
| abstract_inverted_index.magnetic | 21 |
| abstract_inverted_index.momentum | 181 |
| abstract_inverted_index.obtained | 274 |
| abstract_inverted_index.response | 83, 246, 256, 272 |
| abstract_inverted_index.revealed | 146 |
| abstract_inverted_index.spanwise | 170 |
| abstract_inverted_index.suitably | 19 |
| abstract_inverted_index.velocity | 82, 114, 194 |
| abstract_inverted_index.Moreover, | 206 |
| abstract_inverted_index.amplitude | 51, 127, 228 |
| abstract_inverted_index.decreases | 247, 267 |
| abstract_inverted_index.direction | 171 |
| abstract_inverted_index.effective | 222 |
| abstract_inverted_index.generated | 16, 196 |
| abstract_inverted_index.including | 225 |
| abstract_inverted_index.increases | 257 |
| abstract_inverted_index.mechanism | 79, 144 |
| abstract_inverted_index.reduction | 34 |
| abstract_inverted_index.response, | 58 |
| abstract_inverted_index.responses | 115, 149, 192, 208 |
| abstract_inverted_index.seawater) | 9 |
| abstract_inverted_index.solutions | 111 |
| abstract_inverted_index.stability | 123 |
| abstract_inverted_index.Therefore, | 55, 189 |
| abstract_inverted_index.conductive | 6, 92 |
| abstract_inverted_index.controlled | 12 |
| abstract_inverted_index.direction. | 188 |
| abstract_inverted_index.efficiency | 41 |
| abstract_inverted_index.high-speed | 200 |
| abstract_inverted_index.optimized, | 286 |
| abstract_inverted_index.parameters | 212, 284 |
| abstract_inverted_index.solutions, | 142 |
| abstract_inverted_index.application | 48 |
| abstract_inverted_index.discussions | 138 |
| abstract_inverted_index.efficiency. | 73 |
| abstract_inverted_index.oscillatory | 36 |
| abstract_inverted_index.penetration | 223 |
| abstract_inverted_index.significant | 27 |
| abstract_inverted_index.wall-normal | 187 |
| abstract_inverted_index.(Δ>0.4). | 268 |
| abstract_inverted_index.(Δ<0.4), | 259 |
| abstract_inverted_index.applications | 30 |
| abstract_inverted_index.proportional | 226 |
| abstract_inverted_index.suppression. | 37 |
| abstract_inverted_index.transferring | 202 |
| abstract_inverted_index.amplification | 78, 278 |
| abstract_inverted_index.corresponding | 277 |
| abstract_inverted_index.investigated, | 95 |
| abstract_inverted_index.monotonously. | 248 |
| cited_by_percentile_year | |
| corresponding_author_ids | https://openalex.org/A5101958785, https://openalex.org/A5100681668 |
| countries_distinct_count | 2 |
| institutions_distinct_count | 3 |
| corresponding_institution_ids | https://openalex.org/I36399199, https://openalex.org/I47508984 |
| sustainable_development_goals[0].id | https://metadata.un.org/sdg/14 |
| sustainable_development_goals[0].score | 0.8399999737739563 |
| sustainable_development_goals[0].display_name | Life below water |
| citation_normalized_percentile.value | 0.0757912 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |