The Island Rule with lateral and bottom friction

doi:10.1007/s13131-019-1394-6

	The Island Rule with lateral and bottom friction
	Yang, Yanzhao 1,2; Wei, Zexun 1,3,4; Wang, Guanlin 1,3,4; Lian, Zhan 3,4; Wang, Liwei 1
刊名	ACTA OCEANOLOGICA SINICA
	2019-04
卷号	38 期号:4 页码:146-153
关键词	Island Rule lateral friction bottom friction transport streamfunction
ISSN号	0253-505X
DOI	10.1007/s13131-019-1394-6
英文摘要	The Island Rule, derived from the Sverdrup theory, is widely used to estimate and analyze water transport through a strait. Previous studies presented single- or multi-island rules with either lateral or bottom friction. In this paper, an analytical model of wind-driven circulation is assumed based on linear dynamics. Considering both lateral and bottom friction, the analytic solutions of the transport streamfunction around the islands are derived and the volume transport through the channel is presented. The results are similar to those of Wajsowicz, but the frictional constants represent different values. The analytic solution shows that the relationship between the lateral frictional and bottom frictional dissipation is complex in terms of the frictional constants. To understand the interaction between the two friction types, lateral and bottom friction values were randomly chosen on a barotropic beta plane. The result shows an approximately linear relationship between the lateral and bottom friction in consisting of the combined frictional constants. We studied the effect of the channel width on the transport through the channel. The results show that the friction enhances the flow under some widths, which is similar to the flow behavior when only the lateral friction is considered. We also compared the transport through the channel at different depths and founded that the deeper the water, the smaller the transport reduction ratio when the horizontal eddy viscosity coefficient and the bottom drag coefficient remained constants. To further present the combined role of lateral frictional and bottom frictional dissipation, we compared our model with the model of Wajsowicz for two islands, where only the lateral or bottom friction were considered, with different channel widths. The results showed that the effect of the lateral friction is greater than the bottom friction when the channel is narrow, especially in the Munk boundary layer thickness. When the channel is much wider than the Munk boundary layer thickness, the role of the bottom friction is greater than that of the lateral friction. The model was applied to the Indonesian throughflow and yielded a reduction of approximately 20% in the transport.
资助项目	Office of Naval Research of United States[N00014-08-01-0618]
WOS关键词	INDONESIAN THROUGHFLOW ; SEASONAL-VARIATION ; SVERDRUP MODEL ; DYNAMICS
WOS研究方向	Oceanography
语种	英语
出版者	SPRINGER
WOS记录号	WOS:000465374700016
内容类型	期刊论文
源URL	[http://ir.fio.com.cn:8080/handle/2SI8HI0U/24766]
专题	自然资源部第一海洋研究所
通讯作者	Wei, Zexun
作者单位	1.Natl Univ Def Technol, Coll Meteorol & Oceanog, Nanjing 211101, Jiangsu, Peoples R China 2.Qingdao Univ Sci & Technol, Coll Math Sci & Phys, Qingdao 266061, Shandong, Peoples R China 3.Minist Nat Resources, Inst Oceanog 1, Key Lab Marine Sci & Numer Modeling, Qingdao 266061, Shandong, Peoples R China 4.Pilot Natl Lab Marine Sci & Technol Qingdao, Lab Reg Oceanog & Numer Modeling, Qingdao 266237, Shandong, Peoples R China
推荐引用方式 GB/T 7714	Yang, Yanzhao,Wei, Zexun,Wang, Guanlin,et al. The Island Rule with lateral and bottom friction[J]. ACTA OCEANOLOGICA SINICA,2019,38(4):146-153.
APA	Yang, Yanzhao,Wei, Zexun,Wang, Guanlin,Lian, Zhan,&Wang, Liwei.(2019).The Island Rule with lateral and bottom friction.ACTA OCEANOLOGICA SINICA,38(4),146-153.
MLA	Yang, Yanzhao,et al."The Island Rule with lateral and bottom friction".ACTA OCEANOLOGICA SINICA 38.4(2019):146-153.