{"title":"个别海洋白浪断裂强度参数的估计","authors":"Adrian H. Callaghan","doi":"10.1029/2025GL116342","DOIUrl":null,"url":null,"abstract":"<p>The purpose of this study is to present the first estimates of the breaking strength parameter, <span></span><math>\n <semantics>\n <mrow>\n <mi>b</mi>\n </mrow>\n <annotation> $b$</annotation>\n </semantics></math>, for individual oceanic whitecaps. This is achieved by combining the estimates of the dissipation rate per unit breaking crest length for these whitecaps reported in Callaghan et al. (2024, https://doi.org/10.1029/2023jc020193) with a measure of the whitecap breaking wave speed to implement the Duncan (1981, https://doi.org/10.1098/rspa.1981.0127) relationship. The resulting values of <span></span><math>\n <semantics>\n <mrow>\n <mi>b</mi>\n </mrow>\n <annotation> $b$</annotation>\n </semantics></math> span the range of previously reported laboratory values. Moreover, average values of <span></span><math>\n <semantics>\n <mrow>\n <mi>b</mi>\n </mrow>\n <annotation> $b$</annotation>\n </semantics></math> are in excellent agreement with previous field-derived average values using different approaches. The results suggest that making routine estimates of <span></span><math>\n <semantics>\n <mrow>\n <mi>b</mi>\n </mrow>\n <annotation> $b$</annotation>\n </semantics></math> for individual whitecaps is now possible. This opens up new possibilities for how the fifth moment of Phillips' <span></span><math>\n <semantics>\n <mrow>\n <mi>Λ</mi>\n <mrow>\n <mo>(</mo>\n <mi>c</mi>\n <mo>)</mo>\n </mrow>\n </mrow>\n <annotation> ${\\Lambda }(c)$</annotation>\n </semantics></math> distribution of breaking wave crests can be better constrained to estimate the total dissipation rate of energy by oceanic whitecaps.</p>","PeriodicalId":12523,"journal":{"name":"Geophysical Research Letters","volume":"52 18","pages":""},"PeriodicalIF":4.6000,"publicationDate":"2025-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://agupubs.onlinelibrary.wiley.com/doi/epdf/10.1029/2025GL116342","citationCount":"0","resultStr":"{\"title\":\"Estimates of the Breaking Strength Parameter for Individual Oceanic Whitecaps\",\"authors\":\"Adrian H. Callaghan\",\"doi\":\"10.1029/2025GL116342\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>The purpose of this study is to present the first estimates of the breaking strength parameter, <span></span><math>\\n <semantics>\\n <mrow>\\n <mi>b</mi>\\n </mrow>\\n <annotation> $b$</annotation>\\n </semantics></math>, for individual oceanic whitecaps. This is achieved by combining the estimates of the dissipation rate per unit breaking crest length for these whitecaps reported in Callaghan et al. (2024, https://doi.org/10.1029/2023jc020193) with a measure of the whitecap breaking wave speed to implement the Duncan (1981, https://doi.org/10.1098/rspa.1981.0127) relationship. The resulting values of <span></span><math>\\n <semantics>\\n <mrow>\\n <mi>b</mi>\\n </mrow>\\n <annotation> $b$</annotation>\\n </semantics></math> span the range of previously reported laboratory values. Moreover, average values of <span></span><math>\\n <semantics>\\n <mrow>\\n <mi>b</mi>\\n </mrow>\\n <annotation> $b$</annotation>\\n </semantics></math> are in excellent agreement with previous field-derived average values using different approaches. The results suggest that making routine estimates of <span></span><math>\\n <semantics>\\n <mrow>\\n <mi>b</mi>\\n </mrow>\\n <annotation> $b$</annotation>\\n </semantics></math> for individual whitecaps is now possible. This opens up new possibilities for how the fifth moment of Phillips' <span></span><math>\\n <semantics>\\n <mrow>\\n <mi>Λ</mi>\\n <mrow>\\n <mo>(</mo>\\n <mi>c</mi>\\n <mo>)</mo>\\n </mrow>\\n </mrow>\\n <annotation> ${\\\\Lambda }(c)$</annotation>\\n </semantics></math> distribution of breaking wave crests can be better constrained to estimate the total dissipation rate of energy by oceanic whitecaps.</p>\",\"PeriodicalId\":12523,\"journal\":{\"name\":\"Geophysical Research Letters\",\"volume\":\"52 18\",\"pages\":\"\"},\"PeriodicalIF\":4.6000,\"publicationDate\":\"2025-09-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://agupubs.onlinelibrary.wiley.com/doi/epdf/10.1029/2025GL116342\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Geophysical Research Letters\",\"FirstCategoryId\":\"89\",\"ListUrlMain\":\"https://agupubs.onlinelibrary.wiley.com/doi/10.1029/2025GL116342\",\"RegionNum\":1,\"RegionCategory\":\"地球科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"GEOSCIENCES, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Geophysical Research Letters","FirstCategoryId":"89","ListUrlMain":"https://agupubs.onlinelibrary.wiley.com/doi/10.1029/2025GL116342","RegionNum":1,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"GEOSCIENCES, MULTIDISCIPLINARY","Score":null,"Total":0}
Estimates of the Breaking Strength Parameter for Individual Oceanic Whitecaps
The purpose of this study is to present the first estimates of the breaking strength parameter, , for individual oceanic whitecaps. This is achieved by combining the estimates of the dissipation rate per unit breaking crest length for these whitecaps reported in Callaghan et al. (2024, https://doi.org/10.1029/2023jc020193) with a measure of the whitecap breaking wave speed to implement the Duncan (1981, https://doi.org/10.1098/rspa.1981.0127) relationship. The resulting values of span the range of previously reported laboratory values. Moreover, average values of are in excellent agreement with previous field-derived average values using different approaches. The results suggest that making routine estimates of for individual whitecaps is now possible. This opens up new possibilities for how the fifth moment of Phillips' distribution of breaking wave crests can be better constrained to estimate the total dissipation rate of energy by oceanic whitecaps.
期刊介绍:
Geophysical Research Letters (GRL) publishes high-impact, innovative, and timely research on major scientific advances in all the major geoscience disciplines. Papers are communications-length articles and should have broad and immediate implications in their discipline or across the geosciences. GRLmaintains the fastest turn-around of all high-impact publications in the geosciences and works closely with authors to ensure broad visibility of top papers.