Flow past a sphere undergoing unsteady rectilinear motion and unsteady drag at small Reynolds number
The flow induced by a sphere which undergoes unsteady motion in a Newtonian fluid at small Reynolds number is considered at distances large compared with sphere radius a. Previous solutions of the unsteady Oseen equations (Ockendon 1968; Lovalenti & Brady 1993b) for rectilinear motion are refine...
Saved in:
Published in | Journal of fluid mechanics Vol. 446; pp. 95 - 119 |
---|---|
Main Author | |
Format | Journal Article |
Language | English |
Published |
Cambridge, UK
Cambridge University Press
10.11.2001
|
Subjects | |
Online Access | Get full text |
Cover
Loading…
Abstract | The flow induced by a sphere which undergoes unsteady motion in a Newtonian
fluid at small Reynolds number is considered at distances large compared with
sphere radius a. Previous solutions of the unsteady Oseen equations (Ockendon
1968; Lovalenti & Brady 1993b) for rectilinear motion are refined. Three-dimensional
Fourier transforms of the disturbance field are integrated over Fourier space to derive
new concise equations for the velocity field and history force in terms of single history
integrals. Various slip-velocity profiles are classified by the ratio A of the particle relative displacement,
z′p(t′) −
z′p(τ′), to the diffusion length,
l′D = 2[v(t′ − τ′)]1/2,
where v is the kinematic viscosity of the fluid. Most previous studies are concerned with large-displacement
motions for which the ratio is large in the long-time limit. It is shown
using asymptotic calculations that the flow at any point at large distance z past a
sphere for arbitrary large-displacement and non-reversing motion is the same as the
steady-state laminar wake if z is expressed in terms of the time elapsed since the
particle was at that point in the laboratory frame. The point source solution for the
remainder of the far flow is also valid for the unsteady case. A start-up motion with slip velocity V′p
= γ′(t′)−1/2, t′ > 0, is investigated for which A
is finite. A self-similar solution for the flow field is obtained in terms of space coordinates scaled by the diffusion
length, u′ = auss(η)/t′ where
η = r′/2(vt′)1/2. The
unsteady Oseen correction to the drag is inversely proportional to time. When A is small in the long-time limit (a small-displacement motion) the flow
field also depends on the space coordinates in terms of η. The distribution of the
streamwise velocity uz is symmetrical in z. |
---|---|
AbstractList | The flow induced by a sphere which undergoes unsteady motion in a Newtonian fluid at small Reynolds number is considered at distances large compared with sphere radius a. Previous solutions of the unsteady Oseen equations (Ockendon 1968; Lovalenti & Brady 1993b) for rectilinear motion are refined. Three-dimensional Fourier transforms of the disturbance field are integrated over Fourier space to derive new concise equations for the velocity field and history force in terms of single history integrals. Various slip-velocity profiles are classified by the ratio A of the particle relative displacement, z'p(t') - z'p(τ'), to the diffusion length, l'D = 2[v(t' - τ')]1/2, where v is the kinematic viscosity of the fluid. Most previous studies are concerned with large-displacement motions for which the ratio is large in the long-time limit. It is shown using asymptotic calculations that the flow at any point at large distance z past a sphere for arbitrary large-displacement and non-reversing motion is the same as the steady-state laminar wake if z is expressed in terms of the time elapsed since the particle was at that point in the laboratory frame. The point source solution for the remainder of the far flow is also valid for the unsteady case. A start-up motion with slip velocity V'p = γ'(t')-1/2, t' > 0, is investigated for which A is finite. A self-similar solution for the flow field is obtained in terms of space coordinates scaled by the diffusion length, u' = auss(η)/t' where η = r'/2(vt')1/2. The unsteady Oseen correction to the drag is inversely proportional to time. When A is small in the long-time limit (a small-displacement motion) the flow field also depends on the space coordinates in terms of η. The distribution of the streamwise velocity uz is symmetrical in z. [PUBLICATION ABSTRACT] The flow induced by a sphere which undergoes unsteady motion in a Newtonian fluid at small Reynolds number is considered at distances large compared with sphere radius a. Previous solutions of the unsteady Oseen equations (Ockendon 1968; Lovalenti & Brady 1993b) for rectilinear motion are refined. Three-dimensional Fourier transforms of the disturbance field are integrated over Fourier space to derive new concise equations for the velocity field and history force in terms of single history integrals. Various slip-velocity profiles are classified by the ratio A of the particle relative displacement, z'p(t') - z'p(t'), to the diffusion length, l'D = 2[v(t' - t')]1-2, where v is the kinematic viscosity of the fluid. Most previous studies are concerned with large-displacement motions for which the ratio is large in the long-time limit. It is shown using asymptotic calculations that the flow at any point at large distance z past a sphere for arbitrary large-displacement and non-reversing motion is the same as the steady-state laminar wake if z is expressed in terms of the time elapsed since the particle was at that point in the laboratory frame. The point source solution for the remainder of the far flow is also valid for the unsteady case. A start-up motion with slip velocity V'p = g'(t')-1-2, t' > 0, is investigated for which A is finite. A self-similar solution for the flow field is obtained in terms of space coordinates scaled by the diffusion length, u' = auss()-t' where = r'-2(vt')1-2. The unsteady Oseen correction to the drag is inversely proportional to time. When A is small in the long-time limit (a small-displacement motion) the flow field also depends on the space coordinates in terms of . The distribution of the streamwise velocity uz is symmetrical in z. The flow induced by a sphere which undergoes unsteady motion in a Newtonian fluid at small Reynolds number is considered at distances large compared with sphere radius a. Previous solutions of the unsteady Oseen equations (Ockendon 1968; Lovalenti & Brady 1993b) for rectilinear motion are refined. Three-dimensional Fourier transforms of the disturbance field are integrated over Fourier space to derive new concise equations for the velocity field and history force in terms of single history integrals. Various slip-velocity profiles are classified by the ratio A of the particle relative displacement, z'p(t') - z'p(t'), to the diffusion length, l'D = 2[v(t' - t')]1-2, where v is the kinematic viscosity of the fluid. Most previous studies are concerned with large-displacement motions for which the ratio is large in the long-time limit. It is shown using asymptotic calculations that the flow at any point at large distance z past a sphere for arbitrary large-displacement and non-reversing motion is the same as the steady-state laminar wake if z is expressed in terms of the time elapsed since the particle was at that point in the laboratory frame. The point source solution for the remainder of the far flow is also valid for the unsteady case. A start-up motion with slip velocity V'p = g'(t')-1-2, t' > 0, is investigated for which A is finite. A self-similar solution for the flow field is obtained in terms of space coordinates scaled by the diffusion length, u' = auss(E)-t' where E = r'-2(vt')1-2. The unsteady Oseen correction to the drag is inversely proportional to time. When A is small in the long-time limit (a small-displacement motion) the flow field also depends on the space coordinates in terms of E. The distribution of the streamwise velocity uz is symmetrical in z. The flow induced by a sphere which undergoes unsteady motion in a Newtonian fluid at small Reynolds number is considered at distances large compared with sphere radius a. Previous solutions of the unsteady Oseen equations (Ockendon 1968; Lovalenti & Brady 1993b) for rectilinear motion are refined. Three-dimensional Fourier transforms of the disturbance field are integrated over Fourier space to derive new concise equations for the velocity field and history force in terms of single history integrals. Various slip-velocity profiles are classified by the ratio A of the particle relative displacement, z′p(t′) − z′p(τ′), to the diffusion length, l′D = 2[v(t′ − τ′)]1/2, where v is the kinematic viscosity of the fluid. Most previous studies are concerned with large-displacement motions for which the ratio is large in the long-time limit. It is shown using asymptotic calculations that the flow at any point at large distance z past a sphere for arbitrary large-displacement and non-reversing motion is the same as the steady-state laminar wake if z is expressed in terms of the time elapsed since the particle was at that point in the laboratory frame. The point source solution for the remainder of the far flow is also valid for the unsteady case. A start-up motion with slip velocity V′p = γ′(t′)−1/2, t′ > 0, is investigated for which A is finite. A self-similar solution for the flow field is obtained in terms of space coordinates scaled by the diffusion length, u′ = auss(η)/t′ where η = r′/2(vt′)1/2. The unsteady Oseen correction to the drag is inversely proportional to time. When A is small in the long-time limit (a small-displacement motion) the flow field also depends on the space coordinates in terms of η. The distribution of the streamwise velocity uz is symmetrical in z. The flow induced by a sphere which undergoes unsteady motion in a Newtonian fluid at small Reynolds number is considered at distances large compared with sphere radius a . Previous solutions of the unsteady Oseen equations (Ockendon 1968; Lovalenti & Brady 1993 b ) for rectilinear motion are refined. Three-dimensional Fourier transforms of the disturbance field are integrated over Fourier space to derive new concise equations for the velocity field and history force in terms of single history integrals. Various slip-velocity profiles are classified by the ratio A of the particle relative displacement, z ′ p ( t ′) − z ′ p (τ′), to the diffusion length, l ′ D = 2[ v ( t ′ − τ′)] 1/2 , where v is the kinematic viscosity of the fluid. Most previous studies are concerned with large-displacement motions for which the ratio is large in the long-time limit. It is shown using asymptotic calculations that the flow at any point at large distance z past a sphere for arbitrary large-displacement and non-reversing motion is the same as the steady-state laminar wake if z is expressed in terms of the time elapsed since the particle was at that point in the laboratory frame. The point source solution for the remainder of the far flow is also valid for the unsteady case. A start-up motion with slip velocity V ′ p = γ′( t ′) −1/2 , t ′ > 0, is investigated for which A is finite. A self-similar solution for the flow field is obtained in terms of space coordinates scaled by the diffusion length, u ′ = a u ss ( η )/ t ′ where η = r ′/2( vt ′) 1/2 . The unsteady Oseen correction to the drag is inversely proportional to time. When A is small in the long-time limit (a small-displacement motion) the flow field also depends on the space coordinates in terms of η . The distribution of the streamwise velocity u z is symmetrical in z . |
Author | ASMOLOV, EVGENY S. |
Author_xml | – sequence: 1 givenname: EVGENY S. surname: ASMOLOV fullname: ASMOLOV, EVGENY S. email: aes@an.aerocentr.msk.su organization: Central Aero-Hydrodynamics Institute, Zhukovsky, Moscow Region, 140180, Russia; e-mail: aes@an.aerocentr.msk.su |
BookMark | eNqFkUtPxCAUhYkZE2fUH-COuHBXhUJLWRofVTOJ8bUmtMDYsYUR2uj8exlnoonGuILkfOee-5iAkXVWA3CA0TFGmJ08IJSmGKcIYYSynGVbYIxpzhOW02wExis5Wek7YBLCPGIEcTYG6rJ1b3AhQw8lDItn7TUcrNJ-5ho7i9_Qa6mW0Ou6b9rGaulh5_rGWSit-taVlzMoexg62bbwXi-ta1WAdugq7ffAtpFt0Pubdxc8XV48nl0l09vy-ux0mtQU0z6hBeeMZ3VdVRkqOFE5TYnhBiujClmpzBjF4iAmjSpHCOWqYrogRhpOCanJLjha11149zro0IuuCbVuW2m1G4IgtGAYUfYvmCJOWFbQCB7-AOdu8DYOIVIcu8iLz2p4DdXeheC1EQvfdNIvBUZidR3x6zrRk6w9TVzg-5dB-heRs5gt8vJOlOeknN4QJsrIk02G7CrfqJn-7uTvlA93dqHq |
CitedBy_id | crossref_primary_10_5402_2012_513717 |
ContentType | Journal Article |
Copyright | 2001 Cambridge University Press |
Copyright_xml | – notice: 2001 Cambridge University Press |
DBID | BSCLL AAYXX CITATION 3V. 7TB 7U5 7UA 7XB 88I 8FD 8FE 8FG 8FK 8G5 ABJCF ABUWG AFKRA ARAPS AZQEC BENPR BGLVJ BHPHI BKSAR C1K CCPQU DWQXO F1W FR3 GNUQQ GUQSH H8D H96 HCIFZ KR7 L.G L6V L7M M2O M2P M7S MBDVC P5Z P62 PCBAR PQEST PQQKQ PQUKI PTHSS Q9U S0W |
DOI | 10.1017/S0022112001005675 |
DatabaseName | Istex CrossRef ProQuest Central (Corporate) Mechanical & Transportation Engineering Abstracts Solid State and Superconductivity Abstracts Water Resources Abstracts ProQuest Central (purchase pre-March 2016) Science Database (Alumni Edition) Technology Research Database ProQuest SciTech Collection ProQuest Technology Collection ProQuest Central (Alumni) (purchase pre-March 2016) Research Library (Alumni Edition) Materials Science & Engineering Collection ProQuest Central (Alumni) ProQuest Central Advanced Technologies & Aerospace Collection ProQuest Central Essentials ProQuest Central Technology Collection Natural Science Collection Earth, Atmospheric & Aquatic Science Collection Environmental Sciences and Pollution Management ProQuest One Community College ProQuest Central Korea ASFA: Aquatic Sciences and Fisheries Abstracts Engineering Research Database ProQuest Central Student Research Library Prep Aerospace Database Aquatic Science & Fisheries Abstracts (ASFA) 2: Ocean Technology, Policy & Non-Living Resources SciTech Premium Collection Civil Engineering Abstracts Aquatic Science & Fisheries Abstracts (ASFA) Professional ProQuest Engineering Collection Advanced Technologies Database with Aerospace Research Library Science Database Engineering Database Research Library (Corporate) Advanced Technologies & Aerospace Database ProQuest Advanced Technologies & Aerospace Collection Earth, Atmospheric & Aquatic Science Database ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Academic ProQuest One Academic UKI Edition Engineering Collection ProQuest Central Basic DELNET Engineering & Technology Collection |
DatabaseTitle | CrossRef Aquatic Science & Fisheries Abstracts (ASFA) Professional Research Library Prep ProQuest Central Student Technology Collection Technology Research Database Mechanical & Transportation Engineering Abstracts ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Essentials ProQuest Central (Alumni Edition) SciTech Premium Collection ProQuest One Community College Research Library (Alumni Edition) Water Resources Abstracts Environmental Sciences and Pollution Management ProQuest Central Earth, Atmospheric & Aquatic Science Collection Aerospace Database ProQuest Engineering Collection Natural Science Collection ProQuest Central Korea ProQuest Research Library Advanced Technologies Database with Aerospace Engineering Collection Advanced Technologies & Aerospace Collection Civil Engineering Abstracts Engineering Database ProQuest Science Journals (Alumni Edition) ProQuest Central Basic ProQuest Science Journals ProQuest One Academic Eastern Edition Earth, Atmospheric & Aquatic Science Database ProQuest Technology Collection ProQuest SciTech Collection Advanced Technologies & Aerospace Database Aquatic Science & Fisheries Abstracts (ASFA) 2: Ocean Technology, Policy & Non-Living Resources ProQuest One Academic UKI Edition ASFA: Aquatic Sciences and Fisheries Abstracts ProQuest DELNET Engineering and Technology Collection Materials Science & Engineering Collection Solid State and Superconductivity Abstracts Engineering Research Database ProQuest One Academic ProQuest Central (Alumni) |
DatabaseTitleList | Aquatic Science & Fisheries Abstracts (ASFA) Professional Aquatic Science & Fisheries Abstracts (ASFA) 2: Ocean Technology, Policy & Non-Living Resources Aerospace Database CrossRef |
Database_xml | – sequence: 1 dbid: 8FG name: ProQuest Technology Collection url: https://search.proquest.com/technologycollection1 sourceTypes: Aggregation Database |
DeliveryMethod | fulltext_linktorsrc |
Discipline | Applied Sciences Engineering Physics |
EISSN | 1469-7645 |
EndPage | 119 |
ExternalDocumentID | 1399034541 10_1017_S0022112001005675 ark_67375_6GQ_GD3GLJ37_G |
Genre | Feature |
GroupedDBID | -DZ -E. -~X .DC .FH 09C 09E 0E1 0R~ 29K 3V. 4.4 5GY 5VS 6TJ 74X 74Y 7~V 88I 8FE 8FG 8FH 8G5 8R4 8R5 8WZ A6W AAAZR AABES AABWE AACJH AAEED AAGFV AAKTX AAMNQ AARAB AASVR AAUIS AAUKB ABBXD ABGDZ ABITZ ABJCF ABJNI ABKAW ABKKG ABMWE ABMYL ABQTM ABQWD ABROB ABTAH ABTCQ ABUWG ABZCX ABZUI ACBEA ACBMC ACCHT ACGFO ACGFS ACGOD ACIMK ACIWK ACQFJ ACREK ACUIJ ACUYZ ACWGA ACYZP ACZBM ACZUX ACZWT ADCGK ADDNB ADFEC ADFRT ADGEJ ADKIL ADOCW ADVJH AEBAK AEHGV AEMTW AENEX AENGE AEYYC AFFUJ AFKQG AFKRA AFKSM AFLOS AFLVW AFRAH AFUTZ AGABE AGBYD AGJUD AGOOT AHQXX AHRGI AI. AIDUJ AIGNW AIHIV AIOIP AISIE AJ7 AJCYY AJPFC AJQAS ALMA_UNASSIGNED_HOLDINGS ALVPG ALWZO AQJOH ARABE ARAPS ATUCA AUXHV AZQEC BBLKV BENPR BGHMG BGLVJ BHPHI BKSAR BLZWO BPHCQ BQFHP C0O CAG CBIIA CCPQU CCQAD CFAFE CHEAL CJCSC COF CS3 D-I DOHLZ DU5 DWQXO E.L EBS EJD F5P GNUQQ GUQSH HCIFZ HG- HST HZ~ H~9 I.6 IH6 IOEEP IS6 I~P J36 J38 J3A JHPGK JQKCU KCGVB KFECR L6V L98 LHUNA LK5 LW7 M-V M2O M2P M7R M7S NIKVX O9- OYBOY P2P P62 PCBAR PQQKQ PROAC PTHSS PYCCK Q2X RAMDC RCA RIG RNS ROL RR0 S0W S6- S6U SAAAG SC5 T9M TAE TN5 UT1 VH1 VOH WFFJZ WH7 WQ3 WXU WXY WYP ZE2 ZY4 ZYDXJ ~02 ABTRL BSCLL AAYXX ABVZP ABXAU CITATION 7TB 7U5 7UA 7XB 8FD 8FK C1K F1W FR3 H8D H96 KR7 L.G L7M MBDVC PQEST PQUKI Q9U |
ID | FETCH-LOGICAL-c414t-4899795ccbb50893d6423f9f1dfd8abd5ffd7002f208990006db7e83faf9433c3 |
IEDL.DBID | BENPR |
ISSN | 0022-1120 |
IngestDate | Sat Aug 17 02:09:01 EDT 2024 Sat Aug 17 00:31:19 EDT 2024 Thu Oct 10 21:01:22 EDT 2024 Thu Sep 26 17:01:21 EDT 2024 Wed Jan 17 04:52:18 EST 2024 Wed Mar 13 05:46:10 EDT 2024 |
IsPeerReviewed | true |
IsScholarly | true |
Language | English |
LinkModel | DirectLink |
MergedId | FETCHMERGED-LOGICAL-c414t-4899795ccbb50893d6423f9f1dfd8abd5ffd7002f208990006db7e83faf9433c3 |
Notes | istex:5ADA70F1E4B114D1E6B2A31D8FA6BE5DFCA9A5FC ark:/67375/6GQ-GD3GLJ37-G PII:S0022112001005675 ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
PQID | 210896847 |
PQPubID | 34769 |
PageCount | 25 |
ParticipantIDs | proquest_miscellaneous_34871047 proquest_miscellaneous_20937584 proquest_journals_210896847 crossref_primary_10_1017_S0022112001005675 istex_primary_ark_67375_6GQ_GD3GLJ37_G cambridge_journals_10_1017_S0022112001005675 |
PublicationCentury | 2000 |
PublicationDate | 2001-11-10 |
PublicationDateYYYYMMDD | 2001-11-10 |
PublicationDate_xml | – month: 11 year: 2001 text: 2001-11-10 day: 10 |
PublicationDecade | 2000 |
PublicationPlace | Cambridge, UK |
PublicationPlace_xml | – name: Cambridge, UK – name: Cambridge |
PublicationTitle | Journal of fluid mechanics |
PublicationTitleAlternate | J. Fluid Mech |
PublicationYear | 2001 |
Publisher | Cambridge University Press |
Publisher_xml | – name: Cambridge University Press |
SSID | ssj0013097 |
Score | 1.6953937 |
Snippet | The flow induced by a sphere which undergoes unsteady motion in a Newtonian
fluid at small Reynolds number is considered at distances large compared with... The flow induced by a sphere which undergoes unsteady motion in a Newtonian fluid at small Reynolds number is considered at distances large compared with... |
SourceID | proquest crossref istex cambridge |
SourceType | Aggregation Database Publisher |
StartPage | 95 |
SubjectTerms | Flow Fourier transforms Kinematic viscosity Reynolds number |
Title | Flow past a sphere undergoing unsteady rectilinear motion and unsteady drag at small Reynolds number |
URI | https://www.cambridge.org/core/product/identifier/S0022112001005675/type/journal_article https://api.istex.fr/ark:/67375/6GQ-GD3GLJ37-G/fulltext.pdf https://www.proquest.com/docview/210896847 https://search.proquest.com/docview/20937584 https://search.proquest.com/docview/34871047 |
Volume | 446 |
hasFullText | 1 |
inHoldings | 1 |
isFullTextHit | |
isPrint | |
link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV1Nb9QwEB3RrpDgQGEBsbQUHxAHRMTu2kmcE2qhm6qCCioq9RY5_uiBJVmSVNB_z4zjzYIqeovskRJ54vGbzMsbgFdZSeQZISNL_ymLuHRRpqdxVFqhYpPwufKKN59Pk-NzcXIRXwRuThtoleuY6AO1qTV9I3-HqYnMEoyl71c_I2oaRcXV0EFjC0bzmaAq7ejw6PTL2aaMMM3StVw4AouhrOk1o3GQxjAhQRBAPMONuMI_h9SI1vv3jVjtD6DFQ3gQkCM76F39CO7Yagw7AUWysEfbMdz_S2JwDHc9xVO3j8EslvUvtlJtxxRrSU3AMvqDrLms0RIvvb-vmQ-BBD5Vw_oeP0xVZjNvGnXJVMfaH2q5ZGf2uqqXpmV9a5EncL44-vbhOAo9FiItZqKLBOZbaRZrXZYI1TJuMB_hLnMz44xUpYmdMykulZtTfZAON9JjltwplwnONX8K21Vd2WfAtJRGi8RMrU2E1UpKJSRlkHMMFFKpCbwdFrgIO6UtepZZWtzwxwTerH1QrHrljduMX3svDZaq-U6UtTQukvxrkX_k-acTnhb5BHbXbtw8w_BuTeDlMIvbjGonqrL1FZpMEcchWPu_BcfUj3Qvnt96h12451lsnki4B9tdc2VfIKzpyn3Ykot8P7zCfwB_l_Mm |
link.rule.ids | 315,786,790,12792,21416,27955,27956,33406,33407,33777,33778,43633,43838 |
linkProvider | ProQuest |
linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV3fT9RAEJ4gxKgPKqeGE5R9ID4YG47bbbt9MgS8nniQaCDhrdnuDx482rMtUf57Z7a9nobAW9NO0mZnd_abzrffAOwlOZFnhAwsnVMWYe6CRI_CILdChSbiY-UVb07PoumFOLkMLztuTt3RKpcx0QdqU2r6R76PqYlMIoylnxe_AmoaRcXVroPGI9gQPOI0zeUkXRURRkm8FAtHWNEXNb1iNN6ke5iOIAQgluFKWuG_LWqDRvvPnUjtt5_JS3je4UZ22Dp6E9ZsMYAXHYZk3QqtB_DsH4HBATz2BE9dvwIzmZe_2ULVDVOsJi0By-j8WHVVoiVeem_fMh8ACXqqirUdfpgqzOq5qdQVUw2rr9V8zn7Y26Kcm5q1jUVew8Xky_nRNOg6LARaHIgmEJhtxUmodZ4jUEu4wWyEu8QdGGekyk3onIlxqNyYqoO0tZEas-ROuURwrvkbWC_Kwm4B01IaLSIzsjYSVisplZCUP44xTEilhvCpH-CsWyd11nLM4uyOP4bwcemDbNHqbjxk_MF7qbdU1U8irMVhFqXfs_SYp7MTHmfpELaXblx9Qz-zhrDbP8VFRpUTVdjyBk1GiOIQqt1vwTHxI9WLtw--YReeTM9PZ9ns69m3bXjq-WyeUrgD6011Y98hwGny934a_wUzevPH |
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=Flow+past+a+sphere+undergoing+unsteady+rectilinear+motion+and+unsteady+drag+at+small+Reynolds+number&rft.jtitle=Journal+of+fluid+mechanics&rft.au=ASMOLOV%2C+EVGENY+S.&rft.date=2001-11-10&rft.pub=Cambridge+University+Press&rft.issn=0022-1120&rft.eissn=1469-7645&rft.volume=446&rft.spage=95&rft.epage=119&rft_id=info:doi/10.1017%2FS0022112001005675&rft.externalDocID=10_1017_S0022112001005675 |
thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0022-1120&client=summon |
thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0022-1120&client=summon |
thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0022-1120&client=summon |