Equivalent slip length of flow around a super-hydrophobic cylinder

Bibliographic Details
Title:	Equivalent slip length of flow around a super-hydrophobic cylinder
Authors:	Li, Zhi-yong, Xiao, Ya-kang, Li, Yan-cheng, Yu, Li, Peng, Sai, Xiong, Yong-liang
Publication Year:	2024
Collection:	Physics (Other)
Subject Terms:	Physics - Fluid Dynamics
More Details:	In this research, a two-dimensional numerical simulation is conducted to determine the equivalent wall slip length for flow around a circular cylinder featuring a super-hydrophobic surface. The super-hydrophobic surface is modeled as an alternating distribution of slip and no-slip conditions along the cylinder's surface. The smallest unit of this alternating pattern is referred to as a monomer. The study takes into account the Reynolds number and two critical dimensionless parameters: the gas fraction (GF) and the ratio l/a. GF indicates the proportion of the slip length relative to the total length of the monomer, while l/a denotes the ratio of the monomer length (l) to the cylinder's radius (a). The ranges considered for the Reynolds number, GF, and l/a are from 0.2 to 180, 0.1 to 0.99, and $\pi$/80 to $\pi$/5, respectively. A dimensionless number, the Knudsen number (Kn), is introduced to measure the ratio between the equivalent slip length ($\lambda$) and the cylinder's diameter (D). By equating the integral wall friction resistance on the cylinder surface, a quantitative relationship between the equivalent Kn and the parameters (Re, GF, l/a) is established. A meticulous comparison of flow parameters between the equivalent slip length model and the slip-no-slip scenario reveals that the slip length model is an effective approximation for the slip-no-slip alternating model.
Document Type:	Working Paper
Access URL:	http://arxiv.org/abs/2411.14116
Accession Number:	edsarx.2411.14116
Database:	arXiv

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Items	– Name: Title Label: Title Group: Ti Data: Equivalent slip length of flow around a super-hydrophobic cylinder – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Li%2C+Zhi-yong%22">Li, Zhi-yong</searchLink><br /><searchLink fieldCode="AR" term="%22Xiao%2C+Ya-kang%22">Xiao, Ya-kang</searchLink><br /><searchLink fieldCode="AR" term="%22Li%2C+Yan-cheng%22">Li, Yan-cheng</searchLink><br /><searchLink fieldCode="AR" term="%22Yu%2C+Li%22">Yu, Li</searchLink><br /><searchLink fieldCode="AR" term="%22Peng%2C+Sai%22">Peng, Sai</searchLink><br /><searchLink fieldCode="AR" term="%22Xiong%2C+Yong-liang%22">Xiong, Yong-liang</searchLink> – Name: DatePubCY Label: Publication Year Group: Date Data: 2024 – Name: Subset Label: Collection Group: HoldingsInfo Data: Physics (Other) – Name: Subject Label: Subject Terms Group: Su Data: <searchLink fieldCode="DE" term="%22Physics+-+Fluid+Dynamics%22">Physics - Fluid Dynamics</searchLink> – Name: Abstract Label: Description Group: Ab Data: In this research, a two-dimensional numerical simulation is conducted to determine the equivalent wall slip length for flow around a circular cylinder featuring a super-hydrophobic surface. The super-hydrophobic surface is modeled as an alternating distribution of slip and no-slip conditions along the cylinder's surface. The smallest unit of this alternating pattern is referred to as a monomer. The study takes into account the Reynolds number and two critical dimensionless parameters: the gas fraction (GF) and the ratio l/a. GF indicates the proportion of the slip length relative to the total length of the monomer, while l/a denotes the ratio of the monomer length (l) to the cylinder's radius (a). The ranges considered for the Reynolds number, GF, and l/a are from 0.2 to 180, 0.1 to 0.99, and $\pi$/80 to $\pi$/5, respectively. A dimensionless number, the Knudsen number (Kn), is introduced to measure the ratio between the equivalent slip length ($\lambda$) and the cylinder's diameter (D). By equating the integral wall friction resistance on the cylinder surface, a quantitative relationship between the equivalent Kn and the parameters (Re, GF, l/a) is established. A meticulous comparison of flow parameters between the equivalent slip length model and the slip-no-slip scenario reveals that the slip length model is an effective approximation for the slip-no-slip alternating model. – Name: TypeDocument Label: Document Type Group: TypDoc Data: Working Paper – Name: URL Label: Access URL Group: URL Data: <link linkTarget="URL" linkTerm="http://arxiv.org/abs/2411.14116" linkWindow="_blank">http://arxiv.org/abs/2411.14116</link> – Name: AN Label: Accession Number Group: ID Data: edsarx.2411.14116
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RecordInfo	BibRecord: BibEntity: Subjects: – SubjectFull: Physics - Fluid Dynamics Type: general Titles: – TitleFull: Equivalent slip length of flow around a super-hydrophobic cylinder Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Li, Zhi-yong – PersonEntity: Name: NameFull: Xiao, Ya-kang – PersonEntity: Name: NameFull: Li, Yan-cheng – PersonEntity: Name: NameFull: Yu, Li – PersonEntity: Name: NameFull: Peng, Sai – PersonEntity: Name: NameFull: Xiong, Yong-liang IsPartOfRelationships: – BibEntity: Dates: – D: 21 M: 11 Type: published Y: 2024
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