Effects of Hall current and permeability on the stability of peristaltic flow

Pumping molecules and atoms near or along surfaces under the perturbing influence of surface acoustic wave is important in micro-flow systems. These micro-flow systems can circulate heat-transfer fluids over silicon chips, reconstitute dried drugs and possibly synthesize chemicals from liquid to sol...

Full description

Saved in:
Bibliographic Details
Published in:SN applied sciences Vol. 1; no. 12; p. 1610
Main Authors: Mekheimer, Kh. S., Shankar, B. M., Abo-Elkhair, R. E.
Format: Journal Article
Language:English
Published: Cham Springer International Publishing 01.12.2019
Springer Nature B.V
Subjects:
Acoustic propagation
Acoustic streaming
Applied and Technical Physics
Boundary conditions
Chebyshev approximation
Chemistry/Food Science
Collocation methods
Computational Fluid Dynamics and Fluid Interaction
Deformation
Earth Sciences
Eigenvalues
Electric fields
Engineering
Engineering: Fluid Mechanics
Environment
Flow control
Flow stability
Flow system
Flow velocity
Fluid dynamics
Fluid flow
Formability
Incompressible flow
Incompressible fluids
Magnetic fields
Materials Science
Microelectromechanical systems
Permeability
Porous media
Research Article
Reynolds number
Rigid walls
Spectral methods
Streaming
Subcritical flow
Surface acoustic waves
Viscosity
Wave propagation
Wavelengths
MHD
Peristaltic transport
Stability analysis
Hall currents
Porous medium
ISSN:2523-3963, 2523-3971
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Abstract Pumping molecules and atoms near or along surfaces under the perturbing influence of surface acoustic wave is important in micro-flow systems. These micro-flow systems can circulate heat-transfer fluids over silicon chips, reconstitute dried drugs and possibly synthesize chemicals from liquid to solid constituents. The stability of acoustic streaming flow induced by a small-amplitude surface acoustic wave propagating along the walls of a confined parallel-plane channel with a magneto incompressible fluid through a porous medium is considered. The stability related to the flow initiated by the peristaltic waves propagating along the deformable walls is explored numerically. The neutral stability boundary is gotten by understanding the significant Orr–Sommerfeld condition. The Chebyshev collocation method is employed to solve the resulting generalized eigenvalue problem. The critical Reynolds number and the corresponding wave number are obtained for different values of K 0 = c / u max (ratio of the wave speed to the maximum speed of the basic flow), magnetic field M , Hall current β 1 and permeability parameter k . Different values of the critical Reynolds number are obtained when K 0 = c / u max =1 (rigid wall) and ≠ 1 for deformable walls. It is found that the critical Reynolds number (when the wall is deformable; K 0 = 10 ) becomes 577.22 which is much less than conventional rigid-wall case [5772, obtained by Orszag using the spectral method (Orszag in J Fluid Mech 50:689–703. https://doi.org/10.1017/S0022112071002842 , 1971)]. The effect of incrementing of K 0 and k shows destabilizing effect on the fluid flow while increasing in the values of M and β 1 exhibits a stabilizing influence on the fluid flow. So, various kinds of noises like Hall current, permeability and peristaltic waves propagating along the walls will premature any instability mechanism considering the temporal growth of the disturbances. Also, the range of wave numbers relevant to the peristaltic wave or the Reynolds number of this basic flow must be carefully selected for the optimal flow control usage in bio-MEMS.
AbstractList Pumping molecules and atoms near or along surfaces under the perturbing influence of surface acoustic wave is important in micro-flow systems. These micro-flow systems can circulate heat-transfer fluids over silicon chips, reconstitute dried drugs and possibly synthesize chemicals from liquid to solid constituents. The stability of acoustic streaming flow induced by a small-amplitude surface acoustic wave propagating along the walls of a confined parallel-plane channel with a magneto incompressible fluid through a porous medium is considered. The stability related to the flow initiated by the peristaltic waves propagating along the deformable walls is explored numerically. The neutral stability boundary is gotten by understanding the significant Orr–Sommerfeld condition. The Chebyshev collocation method is employed to solve the resulting generalized eigenvalue problem. The critical Reynolds number and the corresponding wave number are obtained for different values of K0=c/umax (ratio of the wave speed to the maximum speed of the basic flow), magnetic field M, Hall current β1 and permeability parameter k. Different values of the critical Reynolds number are obtained when K0=c/umax=1 (rigid wall) and ≠1 for deformable walls. It is found that the critical Reynolds number (when the wall is deformable; K0=10) becomes 577.22 which is much less than conventional rigid-wall case [5772, obtained by Orszag using the spectral method (Orszag in J Fluid Mech 50:689–703. https://doi.org/10.1017/S0022112071002842, 1971)]. The effect of incrementing of K0 and k shows destabilizing effect on the fluid flow while increasing in the values of M and β1 exhibits a stabilizing influence on the fluid flow. So, various kinds of noises like Hall current, permeability and peristaltic waves propagating along the walls will premature any instability mechanism considering the temporal growth of the disturbances. Also, the range of wave numbers relevant to the peristaltic wave or the Reynolds number of this basic flow must be carefully selected for the optimal flow control usage in bio-MEMS.
Pumping molecules and atoms near or along surfaces under the perturbing influence of surface acoustic wave is important in micro-flow systems. These micro-flow systems can circulate heat-transfer fluids over silicon chips, reconstitute dried drugs and possibly synthesize chemicals from liquid to solid constituents. The stability of acoustic streaming flow induced by a small-amplitude surface acoustic wave propagating along the walls of a confined parallel-plane channel with a magneto incompressible fluid through a porous medium is considered. The stability related to the flow initiated by the peristaltic waves propagating along the deformable walls is explored numerically. The neutral stability boundary is gotten by understanding the significant Orr–Sommerfeld condition. The Chebyshev collocation method is employed to solve the resulting generalized eigenvalue problem. The critical Reynolds number and the corresponding wave number are obtained for different values of K 0 = c / u max (ratio of the wave speed to the maximum speed of the basic flow), magnetic field M , Hall current β 1 and permeability parameter k . Different values of the critical Reynolds number are obtained when K 0 = c / u max =1 (rigid wall) and ≠ 1 for deformable walls. It is found that the critical Reynolds number (when the wall is deformable; K 0 = 10 ) becomes 577.22 which is much less than conventional rigid-wall case [5772, obtained by Orszag using the spectral method (Orszag in J Fluid Mech 50:689–703. https://doi.org/10.1017/S0022112071002842 , 1971)]. The effect of incrementing of K 0 and k shows destabilizing effect on the fluid flow while increasing in the values of M and β 1 exhibits a stabilizing influence on the fluid flow. So, various kinds of noises like Hall current, permeability and peristaltic waves propagating along the walls will premature any instability mechanism considering the temporal growth of the disturbances. Also, the range of wave numbers relevant to the peristaltic wave or the Reynolds number of this basic flow must be carefully selected for the optimal flow control usage in bio-MEMS.
ArticleNumber 1610
Author Abo-Elkhair, R. E.
Mekheimer, Kh. S.
Shankar, B. M.
Author_xml – sequence: 1
  givenname: Kh. S.
  orcidid: 0000-0002-5332-0134
  surname: Mekheimer
  fullname: Mekheimer, Kh. S.
  email: kh_mekheimer@azhar.edu.eg
  organization: Department of Mathematics, Faculty of Science, Al-Azhar University
– sequence: 2
  givenname: B. M.
  surname: Shankar
  fullname: Shankar, B. M.
  organization: Department of Mathematics, PES University
– sequence: 3
  givenname: R. E.
  surname: Abo-Elkhair
  fullname: Abo-Elkhair, R. E.
  organization: Department of Mathematics, Faculty of Science, Al-Azhar University
BookMark eNp9kE9LAzEQxYNUsNZ-AG8Bz6v5u7s5SqlWqHjRc8hmJ7plm9QkRfrt3bKiIOhphsf7zTzeOZr44AGhS0quKSHVTRJMSFYQqgpaSlrIEzRlkvGCq4pOvveSn6F5ShtCCKsUFzWfoselc2BzwsHhlel7bPcxgs_Y-BbvIG7BNF3f5QMOHuc3wCl_C-5o6Aahz53Frg8fF-jUmT7B_GvO0Mvd8nmxKtZP9w-L23VhuVS5aIYAQEpTljWpREMEkSAMASZLBcoRpWgr2qam4CyU0EAtG8NdZUGpsqlbPkNX491dDO97SFlvwj764aVmVV0LVgshBlc1umwMKUVw2nbZ5C74HE3Xa0r0sT491qeH-vSxPi0Hkv4id7Hbmnj4l2Ejkwavf4X4k-lv6BNZ4YPI
CitedBy_id crossref_primary_10_3390_sym15091695
crossref_primary_10_1002_htj_22909
crossref_primary_10_1038_s41598_024_78848_8
crossref_primary_10_1016_j_asej_2023_102215
crossref_primary_10_3390_math9111302
crossref_primary_10_1515_jnet_2020_0042
crossref_primary_10_1016_j_cplett_2022_139860
crossref_primary_10_3390_en17081901
Cites_doi 10.1039/c7ra13188g
10.1017/S0022112071002842
10.1038/s41598-018-36459-0
10.3390/sym11020276
10.1007/s40995-017-0374-y
10.1002/fld.1650061203
10.1209/epl/i2003-00220-2
10.1088/1674-1056/22/12/124702
10.1615/JPorMedia.v20.i5.70
10.1016/j.euromechflu.2017.02.002
10.1023/A:1004804829239
10.1238/physica.regular.065a00283
10.1088/0305-4470/34/16/306
10.1007/s11242-018-1074-6
10.1007/s42241-018-0037-2
10.1016/j.apt.2018.02.010
10.1016/j.molliq.2017.01.033
10.1063/1.105339
10.1115/1.3601290
10.1016/S0093-6413(03)00065-X
10.1051/epjap:2001126
ContentType Journal Article
Copyright Springer Nature Switzerland AG 2019
Springer Nature Switzerland AG 2019.
Copyright_xml – notice: Springer Nature Switzerland AG 2019
– notice: Springer Nature Switzerland AG 2019.
DBID AAYXX
CITATION
3V.
7XB
88I
8FE
8FG
8FK
ABJCF
ABUWG
AEUYN
AFKRA
ATCPS
AZQEC
BENPR
BGLVJ
BHPHI
BKSAR
CCPQU
D1I
DWQXO
GNUQQ
HCIFZ
KB.
L6V
M2P
M7S
PATMY
PCBAR
PDBOC
PHGZM
PHGZT
PIMPY
PKEHL
PQEST
PQGLB
PQQKQ
PQUKI
PTHSS
PYCSY
Q9U
DOI 10.1007/s42452-019-1651-5
DatabaseName CrossRef
ProQuest Central (Corporate)
ProQuest Central (purchase pre-March 2016)
Science Database (Alumni Edition)
ProQuest SciTech Collection
ProQuest Technology Collection
ProQuest Central (Alumni) (purchase pre-March 2016)
Materials Science & Engineering Collection
ProQuest Central (Alumni)
ProQuest One Sustainability
ProQuest Central UK/Ireland
Agricultural & Environmental Science Collection
ProQuest Central Essentials - QC
ProQuest Central
ProQuest Technology Collection
Natural Science Collection
Earth, Atmospheric & Aquatic Science Collection
ProQuest One
ProQuest Materials Science Collection
ProQuest Central Korea
ProQuest Central Student
SciTech Premium Collection
Materials Science Database
ProQuest Engineering Collection
Science Database
Engineering Database
Environmental Science Database
Earth, Atmospheric & Aquatic Science Database
Materials Science Collection
ProQuest Central Premium
ProQuest One Academic (New)
ProQuest Publicly Available Content Database
ProQuest One Academic Middle East (New)
ProQuest One Academic Eastern Edition (DO NOT USE)
ProQuest One Applied & Life Sciences
ProQuest One Academic (retired)
ProQuest One Academic UKI Edition
Engineering Collection
Environmental Science Collection
ProQuest Central Basic
DatabaseTitle CrossRef
Publicly Available Content Database
ProQuest Central Student
Technology Collection
ProQuest One Academic Middle East (New)
ProQuest Central Essentials
Materials Science Collection
ProQuest Central (Alumni Edition)
SciTech Premium Collection
ProQuest One Community College
ProQuest Central
Earth, Atmospheric & Aquatic Science Collection
ProQuest One Applied & Life Sciences
ProQuest One Sustainability
ProQuest Engineering Collection
Natural Science Collection
ProQuest Central Korea
Agricultural & Environmental Science Collection
Materials Science Database
ProQuest Central (New)
Engineering Collection
ProQuest Materials Science Collection
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
Environmental Science Collection
ProQuest One Academic UKI Edition
Materials Science & Engineering Collection
Environmental Science Database
ProQuest One Academic
ProQuest One Academic (New)
ProQuest Central (Alumni)
DatabaseTitleList Publicly Available Content Database
Database_xml – sequence: 1
  dbid: KB.
  name: Materials Science Database
  url: http://search.proquest.com/materialsscijournals
  sourceTypes: Aggregation Database
DeliveryMethod fulltext_linktorsrc
Discipline Engineering
EISSN 2523-3971
ExternalDocumentID 10_1007_s42452_019_1651_5
GroupedDBID -EM
0R~
88I
AAHNG
AAKKN
ABDZT
ABECU
ABEEZ
ABFTV
ABHQN
ABJCF
ABKCH
ABMQK
ABTEG
ABTMW
ABUWG
ABXPI
ACACY
ACMLO
ACOKC
ACULB
ADKNI
ADMLS
ADURQ
ADYFF
AEJRE
AEUYN
AFGXO
AFKRA
AFQWF
AGDGC
AGJBK
AILAN
AITGF
AJZVZ
ALMA_UNASSIGNED_HOLDINGS
AMKLP
ATCPS
AXYYD
AZQEC
BAPOH
BENPR
BGLVJ
BGNMA
BHPHI
BKSAR
C24
C6C
CCPQU
DWQXO
EBLON
EBS
EJD
FINBP
FNLPD
FSGXE
GNUQQ
GNWQR
GROUPED_DOAJ
H13
HCIFZ
J-C
KB.
KOV
M2P
M4Y
M7S
NQJWS
NU0
OK1
PATMY
PCBAR
PDBOC
PIMPY
PTHSS
PYCSY
RSV
SOJ
STPWE
TSG
UOJIU
UTJUX
VEKWB
VFIZW
ZMTXR
AAYXX
ACSTC
AFFHD
CITATION
PHGZM
PHGZT
PQGLB
3V.
7XB
8FE
8FG
8FK
D1I
L6V
PKEHL
PQEST
PQQKQ
PQUKI
Q9U
ID FETCH-LOGICAL-c359t-b002e06a668074b0405e4a0e2569e9f0991d4db81efce6ebe85ba3f7ce996b8d3
IEDL.DBID M2P
ISICitedReferencesCount 10
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000502037500002&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 2523-3963
IngestDate Wed Oct 08 14:10:32 EDT 2025
Sat Nov 29 06:34:14 EST 2025
Tue Nov 18 21:28:56 EST 2025
Fri Feb 21 02:30:03 EST 2025
IsDoiOpenAccess true
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Issue 12
Keywords MHD
Peristaltic transport
Stability analysis
Hall currents
Porous medium
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c359t-b002e06a668074b0405e4a0e2569e9f0991d4db81efce6ebe85ba3f7ce996b8d3
Notes ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ORCID 0000-0002-5332-0134
OpenAccessLink https://www.proquest.com/docview/2788428444?pq-origsite=%requestingapplication%
PQID 2788428444
PQPubID 5758472
ParticipantIDs proquest_journals_2788428444
crossref_citationtrail_10_1007_s42452_019_1651_5
crossref_primary_10_1007_s42452_019_1651_5
springer_journals_10_1007_s42452_019_1651_5
PublicationCentury 2000
PublicationDate 20191200
2019-12-00
20191201
PublicationDateYYYYMMDD 2019-12-01
PublicationDate_xml – month: 12
  year: 2019
  text: 20191200
PublicationDecade 2010
PublicationPlace Cham
PublicationPlace_xml – name: Cham
– name: London
PublicationTitle SN applied sciences
PublicationTitleAbbrev SN Appl. Sci
PublicationYear 2019
Publisher Springer International Publishing
Springer Nature B.V
Publisher_xml – name: Springer International Publishing
– name: Springer Nature B.V
References Bhatti, Zeeshan, Ellahi, Shit (CR10) 2018; 29
Chu (CR2) 2002; 65
Lam, Bayazitoglu (CR14) 1986; 6
Abo-Elkhair, Mekheimer, Moawad (CR13) 2019; 43
Abd elmaboud, Abdelsalam, Mekheimer (CR7) 2018; 30
Shankar, Shivakumara (CR21) 2018; 124
Chu (CR16) 2003; 30
Orszag (CR18) 1971; 50
Mekheimer, Komy, Abdelsalam (CR8) 2013
Chu (CR15) 2003; 64
Moroney, White, Howe (CR3) 1991; 59
Chu (CR1) 2001; 13
Ellahi, Raza, Akbar (CR12) 2017; 20
Abdelsalam, Bhatti (CR5) 2018; 8
Chu, Fang (CR20) 2000; 35
Abdelsalam, Bhatti (CR4) 2019; 9
Bhatti, Zeeshan, Ellahi, Ijaz (CR11) 2017; 230
Fung, Yih (CR19) 1964; 35
Abdelsalam, Vafai (CR6) 2017; 65
Ellahi, Zeeshan, Hussain, Asadollahi (CR9) 2019; 11
Chu (CR17) 2001; 34
KHW Chu (1651_CR1) 2001; 13
WKH Chu (1651_CR17) 2001; 34
RE Abo-Elkhair (1651_CR13) 2019; 43
BM Shankar (1651_CR21) 2018; 124
SI Abdelsalam (1651_CR5) 2018; 8
ZK-H Chu (1651_CR16) 2003; 30
SA Orszag (1651_CR18) 1971; 50
K-HW Chu (1651_CR2) 2002; 65
MM Bhatti (1651_CR10) 2018; 29
AKH Chu (1651_CR15) 2003; 64
YC Fung (1651_CR19) 1964; 35
MM Bhatti (1651_CR11) 2017; 230
RM Moroney (1651_CR3) 1991; 59
R Ellahi (1651_CR12) 2017; 20
KhS Mekheimer (1651_CR8) 2013
SI Abdelsalam (1651_CR4) 2019; 9
SI Abdelsalam (1651_CR6) 2017; 65
Y Abd elmaboud (1651_CR7) 2018; 30
R Ellahi (1651_CR9) 2019; 11
WKH Chu (1651_CR20) 2000; 35
TT Lam (1651_CR14) 1986; 6
References_xml – volume: 8
  start-page: 7904
  year: 2018
  end-page: 7915
  ident: CR5
  article-title: The study of non-Newtonian nanofluid with hall and ion slip effects on peristaltically induced motion in a non-uniform channel
  publication-title: RSC Adv
  doi: 10.1039/c7ra13188g
– volume: 50
  start-page: 689
  year: 1971
  end-page: 703
  ident: CR18
  article-title: Accurate solution of the Orr–Sommerfeld stability equation
  publication-title: J Fluid Mech
  doi: 10.1017/S0022112071002842
– volume: 9
  start-page: 260
  year: 2019
  ident: CR4
  article-title: New insight into AuNP applications in tumour treatment and cosmetics through wavy annuli at the nanoscale
  publication-title: Sci Rep
  doi: 10.1038/s41598-018-36459-0
– volume: 11
  start-page: 276
  year: 2019
  ident: CR9
  article-title: Peristaltic blood flow of couple stress fluid suspended with nanoparticles under the influence of chemical reaction and activation energy
  publication-title: Symmetry (Basel)
  doi: 10.3390/sym11020276
– volume: 43
  start-page: 201
  year: 2019
  end-page: 212
  ident: CR13
  article-title: Combine impacts of electrokinetic variable viscosity and partial slip on peristaltic MHD flow through a micro-channel
  publication-title: Iran J Sci Technol Trans A Sci
  doi: 10.1007/s40995-017-0374-y
– volume: 6
  start-page: 883
  year: 1986
  end-page: 894
  ident: CR14
  article-title: Solution to the Orr–Sommerfeld equation for liquid film flowing down an inclined plane: an optimal approach
  publication-title: Int J Numer Methods Fluids
  doi: 10.1002/fld.1650061203
– volume: 64
  start-page: 435
  year: 2003
  end-page: 440
  ident: CR15
  article-title: Stability of slip flows in a peristaltic transport
  publication-title: Europhys Lett
  doi: 10.1209/epl/i2003-00220-2
– year: 2013
  ident: CR8
  article-title: Simultaneous effects of magnetic field and space porosity on compressible Maxwell fluid transport induced by a surface acoustic wave in a microchannel
  publication-title: Chin Phys B
  doi: 10.1088/1674-1056/22/12/124702
– volume: 20
  start-page: 461
  year: 2017
  end-page: 478
  ident: CR12
  article-title: Study of peristaltic flow of nanofluid with entropy generation in a porous medium
  publication-title: J Porous Media
  doi: 10.1615/JPorMedia.v20.i5.70
– volume: 65
  start-page: 398
  year: 2017
  end-page: 411
  ident: CR6
  article-title: Combined effects of magnetic field and rheological properties on the peristaltic flow of a compressible fluid in a microfluidic channel
  publication-title: Eur J Mech B Fluids
  doi: 10.1016/j.euromechflu.2017.02.002
– volume: 35
  start-page: 69
  year: 2000
  end-page: 74
  ident: CR20
  article-title: On the peristaltic transport in Small–Knudsen–Number flow
  publication-title: Meccanica
  doi: 10.1023/A:1004804829239
– volume: 65
  start-page: 283
  year: 2002
  end-page: 288
  ident: CR2
  article-title: Peristaltic transport within a micro-tube
  publication-title: Phys Scr
  doi: 10.1238/physica.regular.065a00283
– volume: 34
  start-page: 3389
  year: 2001
  end-page: 3392
  ident: CR17
  article-title: Spectra of the Orr–Sommerfeld equation: the plane Poiseuille flow for the normal fluid revisited
  publication-title: J Phys A Math Gen
  doi: 10.1088/0305-4470/34/16/306
– volume: 124
  start-page: 395
  year: 2018
  end-page: 411
  ident: CR21
  article-title: Stability of penetrative natural convection in a non-Newtonian fluid-saturated vertical porous layer
  publication-title: Transp Porous Media
  doi: 10.1007/s11242-018-1074-6
– volume: 30
  start-page: 307
  year: 2018
  end-page: 316
  ident: CR7
  article-title: Couple stress fluid flow in a rotating channel with peristalsis
  publication-title: J Hydrodyn
  doi: 10.1007/s42241-018-0037-2
– volume: 29
  start-page: 1189
  year: 2018
  end-page: 1197
  ident: CR10
  article-title: Mathematical modeling of heat and mass transfer effects on MHD peristaltic propulsion of two-phase flow through a Darcy–Brinkman–Forchheimer porous medium
  publication-title: Adv Powder Technol
  doi: 10.1016/j.apt.2018.02.010
– volume: 230
  start-page: 237
  year: 2017
  end-page: 246
  ident: CR11
  article-title: Heat and mass transfer of two-phase flow with Electric double layer effects induced due to peristaltic propulsion in the presence of transverse magnetic field
  publication-title: J Mol Liq
  doi: 10.1016/j.molliq.2017.01.033
– volume: 59
  start-page: 774
  year: 1991
  end-page: 776
  ident: CR3
  article-title: Microtransport induced by ultrasonic Lamb waves
  publication-title: Appl Phys Lett
  doi: 10.1063/1.105339
– volume: 35
  start-page: 669
  year: 1964
  end-page: 675
  ident: CR19
  article-title: Peristaltic transport
  publication-title: J Appl Mech Trans ASME
  doi: 10.1115/1.3601290
– volume: 30
  start-page: 623
  year: 2003
  end-page: 628
  ident: CR16
  article-title: Stability of flows in a peristaltic transport
  publication-title: Mech Res Commun
  doi: 10.1016/S0093-6413(03)00065-X
– volume: 13
  start-page: 147
  year: 2001
  end-page: 152
  ident: CR1
  article-title: Transport within a microtube induced by a surface acoustic wave
  publication-title: EPJ Appl Phys
  doi: 10.1051/epjap:2001126
– volume: 13
  start-page: 147
  year: 2001
  ident: 1651_CR1
  publication-title: EPJ Appl Phys
  doi: 10.1051/epjap:2001126
– year: 2013
  ident: 1651_CR8
  publication-title: Chin Phys B
  doi: 10.1088/1674-1056/22/12/124702
– volume: 65
  start-page: 283
  year: 2002
  ident: 1651_CR2
  publication-title: Phys Scr
  doi: 10.1238/physica.regular.065a00283
– volume: 230
  start-page: 237
  year: 2017
  ident: 1651_CR11
  publication-title: J Mol Liq
  doi: 10.1016/j.molliq.2017.01.033
– volume: 50
  start-page: 689
  year: 1971
  ident: 1651_CR18
  publication-title: J Fluid Mech
  doi: 10.1017/S0022112071002842
– volume: 6
  start-page: 883
  year: 1986
  ident: 1651_CR14
  publication-title: Int J Numer Methods Fluids
  doi: 10.1002/fld.1650061203
– volume: 59
  start-page: 774
  year: 1991
  ident: 1651_CR3
  publication-title: Appl Phys Lett
  doi: 10.1063/1.105339
– volume: 35
  start-page: 669
  year: 1964
  ident: 1651_CR19
  publication-title: J Appl Mech Trans ASME
  doi: 10.1115/1.3601290
– volume: 65
  start-page: 398
  year: 2017
  ident: 1651_CR6
  publication-title: Eur J Mech B Fluids
  doi: 10.1016/j.euromechflu.2017.02.002
– volume: 30
  start-page: 307
  year: 2018
  ident: 1651_CR7
  publication-title: J Hydrodyn
  doi: 10.1007/s42241-018-0037-2
– volume: 9
  start-page: 260
  year: 2019
  ident: 1651_CR4
  publication-title: Sci Rep
  doi: 10.1038/s41598-018-36459-0
– volume: 124
  start-page: 395
  year: 2018
  ident: 1651_CR21
  publication-title: Transp Porous Media
  doi: 10.1007/s11242-018-1074-6
– volume: 30
  start-page: 623
  year: 2003
  ident: 1651_CR16
  publication-title: Mech Res Commun
  doi: 10.1016/S0093-6413(03)00065-X
– volume: 35
  start-page: 69
  year: 2000
  ident: 1651_CR20
  publication-title: Meccanica
  doi: 10.1023/A:1004804829239
– volume: 8
  start-page: 7904
  year: 2018
  ident: 1651_CR5
  publication-title: RSC Adv
  doi: 10.1039/c7ra13188g
– volume: 43
  start-page: 201
  year: 2019
  ident: 1651_CR13
  publication-title: Iran J Sci Technol Trans A Sci
  doi: 10.1007/s40995-017-0374-y
– volume: 34
  start-page: 3389
  year: 2001
  ident: 1651_CR17
  publication-title: J Phys A Math Gen
  doi: 10.1088/0305-4470/34/16/306
– volume: 11
  start-page: 276
  year: 2019
  ident: 1651_CR9
  publication-title: Symmetry (Basel)
  doi: 10.3390/sym11020276
– volume: 29
  start-page: 1189
  year: 2018
  ident: 1651_CR10
  publication-title: Adv Powder Technol
  doi: 10.1016/j.apt.2018.02.010
– volume: 20
  start-page: 461
  year: 2017
  ident: 1651_CR12
  publication-title: J Porous Media
  doi: 10.1615/JPorMedia.v20.i5.70
– volume: 64
  start-page: 435
  year: 2003
  ident: 1651_CR15
  publication-title: Europhys Lett
  doi: 10.1209/epl/i2003-00220-2
SSID ssj0002793483
ssib051670015
Score 2.1575754
Snippet Pumping molecules and atoms near or along surfaces under the perturbing influence of surface acoustic wave is important in micro-flow systems. These micro-flow...
SourceID proquest
crossref
springer
SourceType Aggregation Database
Enrichment Source
Index Database
Publisher
StartPage 1610
SubjectTerms Acoustic propagation
Acoustic streaming
Applied and Technical Physics
Boundary conditions
Chebyshev approximation
Chemistry/Food Science
Collocation methods
Computational Fluid Dynamics and Fluid Interaction
Deformation
Earth Sciences
Eigenvalues
Electric fields
Engineering
Engineering: Fluid Mechanics
Environment
Flow control
Flow stability
Flow system
Flow velocity
Fluid dynamics
Fluid flow
Formability
Incompressible flow
Incompressible fluids
Magnetic fields
Materials Science
Microelectromechanical systems
Permeability
Porous media
Research Article
Reynolds number
Rigid walls
Spectral methods
Streaming
Subcritical flow
Surface acoustic waves
Viscosity
Wave propagation
Wavelengths
Title Effects of Hall current and permeability on the stability of peristaltic flow
URI https://link.springer.com/article/10.1007/s42452-019-1651-5
https://www.proquest.com/docview/2788428444
Volume 1
WOSCitedRecordID wos000502037500002&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
journalDatabaseRights – providerCode: PRVHPJ
  databaseName: ROAD: Directory of Open Access Scholarly Resources
  customDbUrl:
  eissn: 2523-3971
  dateEnd: 20231231
  omitProxy: false
  ssIdentifier: ssib051670015
  issn: 2523-3963
  databaseCode: M~E
  dateStart: 20190101
  isFulltext: true
  titleUrlDefault: https://road.issn.org
  providerName: ISSN International Centre
– providerCode: PRVPQU
  databaseName: Earth, Atmospheric & Aquatic Science Database
  customDbUrl:
  eissn: 2523-3971
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0002793483
  issn: 2523-3963
  databaseCode: PCBAR
  dateStart: 20190101
  isFulltext: true
  titleUrlDefault: https://search.proquest.com/eaasdb
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: Engineering Database
  customDbUrl:
  eissn: 2523-3971
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0002793483
  issn: 2523-3963
  databaseCode: M7S
  dateStart: 20190101
  isFulltext: true
  titleUrlDefault: http://search.proquest.com
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: Environmental Science Database
  customDbUrl:
  eissn: 2523-3971
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0002793483
  issn: 2523-3963
  databaseCode: PATMY
  dateStart: 20190101
  isFulltext: true
  titleUrlDefault: http://search.proquest.com/environmentalscience
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: Materials Science Database
  customDbUrl:
  eissn: 2523-3971
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0002793483
  issn: 2523-3963
  databaseCode: KB.
  dateStart: 20190101
  isFulltext: true
  titleUrlDefault: http://search.proquest.com/materialsscijournals
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: ProQuest Central
  customDbUrl:
  eissn: 2523-3971
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0002793483
  issn: 2523-3963
  databaseCode: BENPR
  dateStart: 20190101
  isFulltext: true
  titleUrlDefault: https://www.proquest.com/central
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: ProQuest Publicly Available Content Database
  customDbUrl:
  eissn: 2523-3971
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0002793483
  issn: 2523-3963
  databaseCode: PIMPY
  dateStart: 20190101
  isFulltext: true
  titleUrlDefault: http://search.proquest.com/publiccontent
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: Science Database
  customDbUrl:
  eissn: 2523-3971
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0002793483
  issn: 2523-3963
  databaseCode: M2P
  dateStart: 20190101
  isFulltext: true
  titleUrlDefault: https://search.proquest.com/sciencejournals
  providerName: ProQuest
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV3dT9swED-twMN42DeiW1f5YU9MZk3ipPbTRKsiEGoVlSGVp8ixHQlUJYUW0P773eWj3SbRF14SKXYix3f2_c5n_w7gm82UtspzXOpewAXadC5lKrhMfW1sGjkdVskm-pOJnM1UXC-4Lettlc2cWE7UtjC0Rv7DR18NobIQ4ufijlPWKIqu1ik0WrCLyMajLV1jP270KfToDEpt7m7LIJsKRMnM6aP_xQNUvibQSafpKAhI-xQU9yJsc_ivqdrgz_9CpqUlOn370n94B29qDMpOKqV5D69c_gH2_2Im_AjjitV4yYqMnen5nJmKx4np3LIFzuau4vf-zYqcIYZkCDKbBxlVIFhKxB4smxdPn-DqdPRreMbrzAvcBKFaUVYe3_UiHUXElZPiQA-d0D2H-Eg5lSGq9KywqfRcZlyEeiDDVAdZ3zh0n1JpgwPYyYvcHQLrW8JoQlrlp9j3Rglsvgqdn5GnaW0bek0nJ6amJafsGPNkTahcyiVBuSQklyRsw9H6lUXFybGtcqeRRVIPz2WyEUQbvjfS3BQ_-7HP2z_2BV77pfqQFnVgZ3X_4L7Cnnlc3Szvu7A7GE3iaRdaF4PjbqmpdO1fYkk8HJxM6X4-jq__AMja7gM
linkProvider ProQuest
linkToHtml http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1NT9wwEB3xUYn2UFoo6rYUfCgXkMXGcbL2oaqqltUiYMUBpL0Fx3akolWyZbdF_Cl-IzNJzLZI5caBa-JYiefZ8yZjvwH47AptnI48V6Ybc4k-nSuVS65yYazLU2-SpthEbzhUo5E-XYDbcBaGtlWGNbFeqF1l6R_5vsBYDamylPLr5BenqlGUXQ0lNBpYHPmbawzZpl8Of6B9d4ToH5x9H_C2qgC3caJnVHFG-G5q0pR0YHIEceKl6Xr0_drrAhlT5KTLVeQL61P8RpXkJi561mNokCsXY7-LsCxJWYy2CorTgN8kojMvrXu9rJN6Opa1EqjAeI_HCPaQWKXTe5R0pH0RmkcpjlHyr2uc890HKdra8_VXn9uYvYHXLcdm35pJ8RYWfLkGr_5SXlyHk0a1ecqqgg3MeMxso1PFTOnYBL2Vb_TLb1hVMuTIDEl0uFBQA6LdJFzCinF1_Q7On-R7NmCprEr_HljPEQeVymmRo62tlvj6OvGioEjauQ50g1Ez28quU_WPcXYvGF3jIEMcZISDLOnA7v0jk0Zz5LHGm8H2Wbv8TLO54TuwF9Azv_3fzj483tk2rAzOTo6z48Ph0Ud4KWroEoI3YWl29dt_ghf2z-zn9GqrnhcMLp4aVHcmu0VR
linkToPdf http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1Nb9QwEB2VLUJwKF9FXVrAB7iArG4cJ2sfqgpRVl2VrvYAUjkFxx8SaJVsu0ur_rX-OmaSuAtI9NYD18SxYvvZ88ZjvwF47YI2TieeKzNIuUSbzpUqJVelMNaVuTdZm2xiOJmokxM9XYOreBeGjlXGNbFZqF1taY98V6CvhlRZSrkbumMR04PR_vyUUwYpirTGdBotRI785QW6b4u98QGO9RshRh8_fzjkXYYBbtNMLyn7jPCD3OQ5acKUCOjMSzPwyAO01wHZU-KkK1Xig_U5tldlpUnD0Hp0E0rlUqz3DqwjJZeiB-vT8fH0a0RzltANmM7Y_mhCfDqVjS6oQO-Ppwj9GGalu3wUgqRTEponOfZY9qehXLHfvwK2jR0cPfyfe_ARbHTsm71vp8tjWPPVE3jwmybjUzhu9ZwXrA7s0MxmzLYKVsxUjs3RjvlW2fyS1RVD9syQXscHgQoQISdJExZm9cUmfLmV9jyDXlVXfgvY0BE7lcppUeK4Wy3x93XmRSAf27k-DOIAF7YTZKe8ILPiWkq6wUSBmCgIE0XWh7fXn8xbNZKbCu9EHBTdwrQoViDow7uIpNXrf1b2_ObKXsE9xFLxaTw52ob7okExgXkHesuzn_4F3LXny--Ls5fdJGHw7bZR9QsxBk-a
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=Effects+of+Hall+current+and+permeability+on+the+stability+of+peristaltic+flow&rft.jtitle=SN+applied+sciences&rft.au=Mekheimer%2C+Kh.+S.&rft.au=Shankar%2C+B.+M.&rft.au=Abo-Elkhair%2C+R.+E.&rft.date=2019-12-01&rft.issn=2523-3963&rft.eissn=2523-3971&rft.volume=1&rft.issue=12&rft_id=info:doi/10.1007%2Fs42452-019-1651-5&rft.externalDBID=n%2Fa&rft.externalDocID=10_1007_s42452_019_1651_5
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=2523-3963&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=2523-3963&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=2523-3963&client=summon