Weakly Nonlinear Rayleigh-Taylor Instability in Incompressible Fluids with Surface Tension

A weakly nonlinear model is established for incompressible Rayleigh-Taylor instability with surface tension. The temporal evolution of a perturbed interface is explored analytically via the third-order solution. The dependence of the first three harmonics on the surface tension is discussed. The amp...

Full description

Saved in:
Bibliographic Details
Published inChinese physics letters Vol. 34; no. 4; pp. 60 - 63
Main Author 郭宏宇 王立锋 叶文华 吴俊峰 张维岩
Format Journal Article
LanguageEnglish
Published 01.03.2017
Online AccessGet full text
ISSN0256-307X
1741-3540
DOI10.1088/0256-307X/34/4/045201

Cover

Abstract A weakly nonlinear model is established for incompressible Rayleigh-Taylor instability with surface tension. The temporal evolution of a perturbed interface is explored analytically via the third-order solution. The dependence of the first three harmonics on the surface tension is discussed. The amplitudes of bubble and spike are greatly affected by surface tension. The saturation amplitude of the fundamental mode versus the Atwood number A is investigated with surface tension into consideration. The saturation amplitude decreases with increasing A. Surface tension exhibits a stabilizing phenomenon. It is shown that the asymmetrical development of the perturbed interface occurs much later for large surface tension effect.
AbstractList A weakly nonlinear model is established for incompressible Rayleigh-Taylor instability with surface tension. The temporal evolution of a perturbed interface is explored analytically via the third-order solution. The dependence of the first three harmonics on the surface tension is discussed. The amplitudes of bubble and spike are greatly affected by surface tension. The saturation amplitude of the fundamental mode versus the Atwood number A is investigated with surface tension into consideration. The saturation amplitude decreases with increasing A. Surface tension exhibits a stabilizing phenomenon. It is shown that the asymmetrical development of the perturbed interface occurs much later for large surface tension effect.
Author 郭宏宇 王立锋 叶文华 吴俊峰 张维岩
AuthorAffiliation Graduate School, China Academy of Engineering Physics, Beijing 100088 Institute of Applied Physics and Computational Mathematics, Beijing 100094 HEDPS, Center for Applied Physics and Technology, Peking University, Beijing 100871
Author_xml – sequence: 1
  fullname: 郭宏宇 王立锋 叶文华 吴俊峰 张维岩
BookMark eNqFkE1LAzEQhoNUsK3-BCF4X3eySfYDT1KsFoqCVhQvIZvNttE0W5Mtsv_eLS09ePE0MzDPy8szQgPXOI3QJYFrAnkeQ8LTiEL2HlMWsxgYT4CcoCHJGIkoZzBAw-PPGRqF8AlASE7IEH28afllO_zYOGuclh4_y85qs1xFi35pPJ650MrSWNN22Lj-VM1643UIprQaT-3WVAH_mHaFX7a-lkrjhXbBNO4cndbSBn1xmGP0Or1bTB6i-dP9bHI7j1SSQxvlBVWMZ7SCjOc515SpWpYFpCWXStKkkBQopbWGklWkVlkqoUppUTFNEgqcjtHNPlf5JgSva6FMK9u-QeulsYKA2GkSOwVip0BQJpjYa-pp_ofeeLOWvvuXuzpwq8Ytv41bHsE0IwUvoCD0F-OWee4
CitedBy_id crossref_primary_10_1007_s11433_024_2490_x
crossref_primary_10_7498_aps_70_20201960
crossref_primary_10_1007_s42757_020_0065_3
crossref_primary_10_1016_j_physrep_2017_07_005
crossref_primary_10_1088_0256_307X_37_5_055201
crossref_primary_10_1103_PhysRevE_101_043115
crossref_primary_10_1103_PhysRevFluids_6_113901
crossref_primary_10_1007_s12217_020_09782_3
crossref_primary_10_1016_j_anucene_2022_109099
crossref_primary_10_1063_1_5132750
crossref_primary_10_1088_1674_1056_ab6965
crossref_primary_10_1088_0256_307X_37_1_015201
Cites_doi 10.1017/S002211208800045X
10.1103/PhysRevE.65.057401
10.1126/science.1078129
10.1103/RevModPhys.78.755
10.1063/1.4759161
10.1063/1.3702063
10.1038/239139a0
10.1103/PhysRevA.42.7211
10.1063/1.872200
10.1063/1.4904363
10.1103/PhysRevLett.76.3112
10.1063/1.4928088
10.1063/1.4766165
10.1098/rspa.1950.0052
10.1090/qam/63198
10.1063/1.3609773
ContentType Journal Article
DBID 2RA
92L
CQIGP
~WA
AAYXX
CITATION
DOI 10.1088/0256-307X/34/4/045201
DatabaseName 维普_期刊
中文科技期刊数据库-CALIS站点
中文科技期刊数据库-7.0平台
中文科技期刊数据库- 镜像站点
CrossRef
DatabaseTitle CrossRef
DatabaseTitleList
DeliveryMethod fulltext_linktorsrc
Discipline Physics
DocumentTitleAlternate Weakly Nonlinear Rayleigh-Taylor Instability in Incompressible Fluids with Surface Tension
EISSN 1741-3540
EndPage 63
ExternalDocumentID 10_1088_0256_307X_34_4_045201
671959091
GroupedDBID 02O
042
1JI
1PV
1WK
29B
2RA
4.4
5B3
5GY
5VR
5VS
5ZH
7.M
7.Q
92L
AAGCD
AAJIO
AAJKP
AALHV
AATNI
ABHWH
ABJNI
ABQJV
ACAFW
ACGFS
ACHIP
AEFHF
AENEX
AFUIB
AFYNE
AHSEE
AKPSB
ALMA_UNASSIGNED_HOLDINGS
ASPBG
ATQHT
AVWKF
AZFZN
BBWZM
CEBXE
CJUJL
CQIGP
CRLBU
CS3
EBS
EDWGO
EJD
EMSAF
EPQRW
EQZZN
FEDTE
HAK
HVGLF
IHE
IJHAN
IOP
IZVLO
JCGBZ
KNG
KOT
LAP
M45
N5L
N9A
NS0
NT-
NT.
P2P
PJBAE
Q02
R4D
RIN
RNS
RO9
ROL
RPA
RW3
S3P
SY9
T37
UCJ
W28
XPP
~02
~WA
-SA
-S~
AAYXX
ACARI
ADEQX
AERVB
AGQPQ
AOAED
ARNYC
CAJEA
CITATION
Q--
TGP
U1G
U5K
ID FETCH-LOGICAL-c280t-893c4573d075885e34cfab906b5aca329a30333fe0b4d1fc76a0d639d4e123053
ISSN 0256-307X
IngestDate Tue Jul 01 01:35:31 EDT 2025
Thu Apr 24 23:11:56 EDT 2025
Wed Feb 14 10:02:12 EST 2024
IsPeerReviewed true
IsScholarly true
Issue 4
Language English
License http://iopscience.iop.org/info/page/text-and-data-mining
http://iopscience.iop.org/page/copyright
LinkModel OpenURL
MergedId FETCHMERGED-LOGICAL-c280t-893c4573d075885e34cfab906b5aca329a30333fe0b4d1fc76a0d639d4e123053
Notes A weakly nonlinear model is established for incompressible Rayleigh-Taylor instability with surface tension. The temporal evolution of a perturbed interface is explored analytically via the third-order solution. The dependence of the first three harmonics on the surface tension is discussed. The amplitudes of bubble and spike are greatly affected by surface tension. The saturation amplitude of the fundamental mode versus the Atwood number A is investigated with surface tension into consideration. The saturation amplitude decreases with increasing A. Surface tension exhibits a stabilizing phenomenon. It is shown that the asymmetrical development of the perturbed interface occurs much later for large surface tension effect.
Hong-Yu Guo1,2, Li-Feng Wang2,3, Wen-Hua Ye2,3, Jun-Feng Wu2, Wei-Yan Zhang2 （1 Graduate School, China Academy of Engineering Physics, Beijing 100088 ;2 Institute of Applied Physics and Computational Mathematics, Beijing 100094 ;3HEDPS, Center for Applied Physics and Technology, Peking University, Beijing 100871）
11-1959/O4
PageCount 4
ParticipantIDs crossref_citationtrail_10_1088_0256_307X_34_4_045201
crossref_primary_10_1088_0256_307X_34_4_045201
chongqing_primary_671959091
ProviderPackageCode CITATION
AAYXX
PublicationCentury 2000
PublicationDate 2017-03-01
PublicationDateYYYYMMDD 2017-03-01
PublicationDate_xml – month: 03
  year: 2017
  text: 2017-03-01
  day: 01
PublicationDecade 2010
PublicationTitle Chinese physics letters
PublicationTitleAlternate Chinese Physics Letters
PublicationYear 2017
References 12
13
Chandrasekhar S (14) 1961
15
16
17
18
19
Wang L F (11) 2010; 27
Rayleigh L (1) 1883; 14
Wang L F (6) 2010; 27
2
3
4
5
Guo H Y (7) 2014; 31
8
9
20
10
21
References_xml – ident: 16
  doi: 10.1017/S002211208800045X
– ident: 10
  doi: 10.1103/PhysRevE.65.057401
– year: 1961
  ident: 14
  publication-title: Hydrodynamic and Hydromagnetic Stability
– ident: 4
  doi: 10.1126/science.1078129
– ident: 5
  doi: 10.1103/RevModPhys.78.755
– volume: 27
  issn: 0256-307X
  year: 2010
  ident: 6
  publication-title: Chin. Phys. Lett.
– ident: 12
  doi: 10.1063/1.4759161
– ident: 19
  doi: 10.1063/1.3702063
– ident: 3
  doi: 10.1038/239139a0
– ident: 15
  doi: 10.1103/PhysRevA.42.7211
– volume: 31
  issn: 0256-307X
  year: 2014
  ident: 7
  publication-title: Chin. Phys. Lett.
– ident: 9
  doi: 10.1063/1.872200
– ident: 20
  doi: 10.1063/1.4904363
– volume: 14
  start-page: 170
  issn: 0024-6115
  year: 1883
  ident: 1
  publication-title: Proc. London Math. Soc.
– ident: 17
  doi: 10.1103/PhysRevLett.76.3112
– ident: 18
  doi: 10.1063/1.4928088
– ident: 21
  doi: 10.1063/1.4766165
– ident: 2
  doi: 10.1098/rspa.1950.0052
– ident: 13
  doi: 10.1090/qam/63198
– ident: 8
  doi: 10.1063/1.3609773
– volume: 27
  issn: 0256-307X
  year: 2010
  ident: 11
  publication-title: Chin. Phys. Lett.
SSID ssj0011811
Score 2.2146845
Snippet A weakly nonlinear model is established for incompressible Rayleigh-Taylor instability with surface tension. The temporal evolution of a perturbed interface is...
SourceID crossref
chongqing
SourceType Enrichment Source
Index Database
Publisher
StartPage 60
Title Weakly Nonlinear Rayleigh-Taylor Instability in Incompressible Fluids with Surface Tension
URI http://lib.cqvip.com/qk/84212X/201704/671959091.html
Volume 34
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1Lb9QwELaWIiQuqLzE0oJ84LZydzeeZJ0jQpQFQalgKxYJKbITp111lbbL5kBP_QVc-If8EsaPOCmginKJIiueSJ4v48-TeRDyTKI5LGQeM9yMJgx4wZlSqWJg0nWVTouxrXjzbi-ZHsCbeTzv9b53opbqtdrJz_-aV_I_WsUx1KvJkr2GZoNQHMB71C9eUcN4_Scdf9LyePltsOfKXcjV4AOev42vswlh4O5AbkMCXEFum-aHRgHNgI2ANYlTu8t6Ufg0t4_1qpT4rc9MYLtXWVPI4Mi2q_TOkK-Dpc0ECpz8VW29rtOT6pB9rltHvTMmbxcMl-6wddHa4D5dsWndbgy1yxOp2ke9PwL3uBCQ5c0Wkijj0Zq7HcaZVeQtzHiYunbXOzEXXaeCNaIQR07gH-YdTaKthOHfgPccTPMmMxhmXS6q_dtmF0IQ7c93ITIjLDPCMg4ZZE7MDXIzwmOH6Yjx-v1--CuFbMh2YGze32SECTEMY0MOQxg6MaZexxGu-hmykA7v6RCY2Sa5408e9LmD0V3S09U9cmvfKfM--eLARAOYaAOmnxc_HIxoB0Z0UdHLMKIORtTAiHoYUQ-jB-Rg9-XsxZT51hssj8RozZDF5hBPeIGMUohYc8hLqdJRomKZSx6lEqkP56UeKSjGZT5J5KhAsluARiqEhv0h2ahOKv2I0BIEIMeEKB9LUKBFaYiTxnNIAmnBZZ9shUXKTl2JlSyZmKJHyGX7BJply3Jftd40T1lmVyqwT3bCtEbmlRMeX3fCFrndon-bbKxXtX6C_HStnlrQ_AJfG4aq
linkProvider IOP Publishing
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Weakly+Nonlinear+Rayleigh%E2%80%93Taylor+Instability+in+Incompressible+Fluids+with+Surface+Tension&rft.jtitle=Chinese+physics+letters&rft.au=Guo%2C+Hong-Yu&rft.au=Wang%2C+Li-Feng&rft.au=Ye%2C+Wen-Hua&rft.au=Wu%2C+Jun-Feng&rft.date=2017-03-01&rft.issn=0256-307X&rft.eissn=1741-3540&rft.volume=34&rft.issue=4&rft.spage=45201&rft_id=info:doi/10.1088%2F0256-307X%2F34%2F4%2F045201&rft.externalDBID=n%2Fa&rft.externalDocID=10_1088_0256_307X_34_4_045201
thumbnail_s http://utb.summon.serialssolutions.com/2.0.0/image/custom?url=http%3A%2F%2Fimage.cqvip.com%2Fvip1000%2Fqk%2F84212X%2F84212X.jpg