Mathematical and Computational Analyses of Flow and Transport Phenomena

209 Pages·2014·28.57 MB·English

Abstract and Applied Analysis
Mathematical and Computational
Analyses of Flow and
Transport Phenomena
Guest Editors: Shuyu Sun, Mohamed Fathy El-Amin, and Jianzhong Lin
Mathematical and Computational Analyses of
Flow and Transport Phenomena
Abstract and Applied Analysis
Mathematical and Computational Analyses of
Flow and Transport Phenomena
Guest Editors: Shuyu Sun, Mohamed Fathy El-Amin,
and Jianzhong Lin
Copyright©2014HindawiPublishingCorporation.Allrightsreserved.
Thisisaspecialissuepublishedin“AbstractandAppliedAnalysis.”AllarticlesareopenaccessarticlesdistributedundertheCreative
CommonsAttributionLicense,whichpermitsunrestricteduse,distribution,andreproductioninanymedium,providedtheoriginal
workisproperlycited.
Editorial Board
RaviP.Agarwal,USA JeanM.Combes,France ValeryY.Glizer,Israel
BashirAhmad,KSA MonicaConti,Italy LaurentGosse,Italy
M.O.Ahmedou,Germany DiegoCo´rdoba,Spain JeanP.Gossez,Belgium
NicholasD.Alikakos,Greece JuanCarlosCortes,Spain JoseL.Gracia,Spain
DeboraAmadori,Italy GrazianoCrasta,Italy MaurizioGrasselli,Italy
PabloAmster,Argentina BernardDacorogna,Switzerland QianGuo,China
DouglasR.Anderson,USA VladimirDanilov,Russia YuxiaGuo,China
JanAndres,CzechRepublic MohammadT.Darvishi,Iran ChaitanP.Gupta,USA
GiovanniAnello,Italy LuisPinheirodeCastro,Portugal UnoHa¨marik,Estonia
StanislavAntontsev,Portugal T.Diagana,USA FerencHartung,Hungary
MohamedKamalAouf,Egypt Jesu´sI.D´ıaz,Spain BehnamHashemi,Iran
NarcisaC.Apreutesei,Romania JosefDiblik,CzechRepublic NorimichiHirano,Japan
NatigM.Atakishiyev,Mexico FasmaDiele,Italy JiaxinHu,China
FerhanM.Atici,USA TomasDominguez,Spain ZhongyiHuang,China
IvanG.Avramidi,USA AlexanderDomoshnitsky,Israel ChengmingHuang,China
SoohyunBae,Korea MarcoDonatelli,Italy GennaroInfante,Italy
ChuanzhiBai,China Bo-QingDong,China IvanIvanov,Bulgaria
ZhanbingBai,China OndˇrejDoˇsly´,CzechRepublic HosseinJafari,Iran
D.Baleanu,Turkey Wei-ShihDu,Taiwan JaanJanno,Estonia
Jo´zefBana´s,Poland LuizDuarte,Brazil ArefJeribi,Tunisia
GerassimosBarbatis,Greece RomanDwilewicz,USA UnCigJi,Korea
MartinoBardi,Italy PaulW.Eloe,USA ZhongxiaoJia,China
RobertoBarrio,Spain AhmedEl-Sayed,Egypt L.Jo´dar,Spain
FeyziBa¸sar,Turkey LucaEsposito,Italy JongSooJung,RepublicofKorea
AbdelghaniBellouquid,Morocco JoseA.Ezquerro,Spain HenrikKalisch,Norway
DanieleBertaccini,Italy KhalilEzzinbi,Morocco HamidRezaKarimi,Norway
LucioBoccardo,Italy DashanFan,USA SatyanadKichenassamy,France
IgorBoglaev,NewZealand AngeloFavini,Italy TeroKilpela¨inen,Finland
MartinJ.Bohner,USA Ma´rciaFederson,Brazil SungGuenKim,RepublicofKorea
GeraldoBotelho,Brazil J.FernandezBonder,Argentina LjubisaKocinac,Serbia
ElenaBraverman,Canada S.Filippas,EquatorialGuinea AndreiKorobeinikov,Spain
RomeoBrunetti,Italy AlbertoFiorenza,Italy PekkaKoskela,Finland
JanuszBrzdek,Poland IlariaFragala,Italy VictorKovtunenko,Austria
DetlevBuchholz,Germany BrunoFranchi,Italy Ren-JiehKuo,Taiwan
Sun-SigByun,Korea XianlongFu,China PavelKurasov,Sweden
FabioM.Camilli,Italy MassimoFuri,Italy MiroslawLachowicz,Poland
JindeCao,China GiovanniP.Galdi,USA KunquanLan,Canada
AnnaCapietto,Italy IsaacGarcia,Spain RuedigerLandes,USA
JianqingChen,China Jesu´sGarc´ıaFalset,Spain IrenaLasiecka,USA
Wing-SumCheung,HongKong Jose´A.Garc´ıa-Rodr´ıguez,Spain MattiLassas,Finland
MichelChipot,Switzerland LeszekGasinski,Poland Chun-KongLaw,Taiwan
ChangbumChun,Korea Gyo¨rgyGa´t,Hungary Ming-YiLee,Taiwan
SoonY.Chung,Korea VladimirGeorgiev,Italy GongbaoLi,China
JaeyoungChung,Korea LorenzoGiacomelli,Italy ElenaLitsyn,Israel
SilviaCingolani,Italy JaumeGine´,Spain YanshengLiu,China
ShengqiangLiu,China SomyotPlubtieng,Thailand JuanJ.Trujillo,Spain
CarlosLizama,Chile MilanPokorny,CzechRepublic GabrielTurinici,France
MiltonC.LopesFilho,Brazil SergioPolidoro,Italy MilanTvrdy,CzechRepublic
JulianLo´pez-Go´mez,Spain ZiemowitPopowicz,Poland MehmetU¨nal,Turkey
GuozhenLu,USA MariaM.Porzio,Italy CsabaVarga,Romania
JinhuLu¨,China EnricoPriola,Italy CarlosVazquez,Spain
GrzegorzLukaszewicz,Poland VladimirS.Rabinovich,Mexico JesusVigo-Aguiar,Spain
ShiwangMa,China I.Rachu˚nkova´,CzechRepublic YushunWang,China
WanbiaoMa,China MariaAlessandraRagusa,Italy Qing-WenWang,China
NazimI.Mahmudov,Turkey SimeonReich,Israel ShawnX.Wang,Canada
EberhardMalkowsky,Turkey AbdelazizRhandi,Italy YouyuWang,China
SalvatoreA.Marano,Italy HassanRiahi,Malaysia JingPingWang,UK
CristinaMarcelli,Italy JuanP.Rinco´n-Zapatero,Spain PeixuanWeng,China
PaoloMarcellini,Italy LuigiRodino,Italy NoemiWolanski,Argentina
Jesu´sMar´ın-Solano,Spain YuriyRogovchenko,Norway Ngai-ChingWong,Taiwan
JoseM.Martell,Spain JulioD.Rossi,Argentina PatriciaJ.Y.Wong,Singapore
MieczysławMastyło,Poland WolfgangRuess,Germany YonghongWu,Australia
MingMei,Canada BernhardRuf,Italy ZiliWu,China
TarasMel’nyk,Ukraine MarcoSabatini,Italy ShanheWu,China
AnnaMercaldo,Italy SatitSaejung,Thailand Tie-chengXia,China
ChangxingMiao,China StefanG.Samko,Portugal XuXian,China
StanislawMigorski,Poland MartinSchechter,USA YanniXiao,China
MihaiMihaˇilescu,Romania JavierSegura,Spain GongnanXie,China
FelizMinho´s,Portugal SigmundSelberg,Norway FudingXie,China
DumitruMotreanu,France ValerySerov,Finland NaihuaXiu,China
RobertaMusina,Italy NaseerShahzad,KSA DaoyiXu,China
G.M.N’Gue´re´kata,USA AndreyShishkov,Ukraine XiaodongYan,USA
MariaGraziaNaso,Italy StefanSiegmund,Germany ZhenyaYan,China
SylviaNovo,Spain Abdel-MaksoudSoliman,Egypt NorioYoshida,Japan
MicahOsilike,Nigeria PierpaoloSoravia,Italy BeongInYun,Korea
MitsuharuOˆtani,Japan MarcoSquassina,Italy VjacheslavYurko,Russia
TurgutO¨zi¸s,Turkey SvatoslavStaneˇk,CzechRepublic AgacikZafer,Turkey
NikolaosS.Papageorgiou,Greece StevoStevic´,Serbia JianmingZhan,China
SehiePark,Korea AntonioSua´rez,Spain MeirongZhang,China
AlbertoParmeggiani,Italy WenchangSun,China ChengjianZhang,China
KailashC.Patidar,SouthAfrica RobertSzalai,UK WeinianZhang,China
KevinR.Payne,Italy SanyiTang,China ZengqinZhao,China
AdemirFernandoPazoto,Brazil Chun-LeiTang,China SiningZheng,China
JosipE.Pecˇaric´,Croatia YoushanTao,China TianshouZhou,China
ShuangjiePeng,China GabriellaTarantello,Italy YongZhou,China
SergeiV.Pereverzyev,Austria Nasser-eddineTatar,KSA QijiJ.Zhu,USA
MariaEugeniaPerez,Spain GerdTeschke,Germany Chun-GangZhu,China
JosefinaPerles,Spain BevanThompson,Australia MalisaR.Zizovic,Serbia
AllanPeterson,USA SergeyTikhonov,Spain WenmingZou,China
AndrewPickering,Spain ClaudiaTimofte,Romania
CristinaPignotti,Italy ThanhTran,Australia
Contents
MathematicalandComputationalAnalysesofFlowandTransportPhenomena,ShuyuSun,
MohamedFathyEl-Amin,andJianzhongLin
Volume2014,ArticleID381619,2pages
ExactSolutionforNon-Self-SimilarWave-InteractionProblemduringTwo-PhaseFour-Component
FlowinPorousMedia,S.Borazjani,P.Bedrikovetsky,andR.Farajzadeh
Volume2014,ArticleID731567,13pages
ReservoirSedimentationBasedonUncertaintyAnalysis,FarhadImanshoar,AfshinJahangirzadeh,
HosseinBasser,ShatirahAkib,BabakKamali,MohammadRezaM.Tabatabaei,andMasoudKakouei
Volume2014,ArticleID367627,6pages
NewSchemeofFiniteDifferenceHeterogeneousMultiscaleMethodtoSolveSaturatedFlowinPorous
Media,FulaiChenandLiRen
Volume2014,ArticleID575298,19pages
SomeNumericalApproachestoSolveFluidStructureInteractionProblemsinBloodFlow,
AikYingTangandNorsarahaidaAmin
Volume2014,ArticleID549189,8pages
ComparisonoftheFiniteVolumeandLatticeBoltzmannMethodsforSolvingNaturalConvectionHeat
TransferProblemsinsideCavitiesandEnclosures,M.Goodarzi,M.R.Safaei,A.Karimipour,K.Hooman,
M.Dahari,S.N.Kazi,andE.Sadeghinezhad
Volume2014,ArticleID762184,15pages
RetrofittingTransportationNetworkUsingaFuzzyRandomMultiobjectiveBilevelModeltoHedge
againstSeismicRisk,LuGanandJiupingXu
Volume2014,ArticleID505890,24pages
RevisitingBlasiusFlowbyFixedPointMethod,DingXu,JingleiXu,andGongnanXie
Volume2014,ArticleID953151,9pages
ExactSolutionforLong-TermSizeExclusionSuspension-ColloidalTransportinPorousMedia,Z.You,
P.Bedrikovetsky,andL.Kuzmina
Volume2013,ArticleID680693,9pages
TheFundamentalAspectsofTEMOMModelforParticleCoagulationduetoBrownianMotion—Part
II:IntheContinuumRegime,HeQingandXieMingliang
Volume2013,ArticleID490123,6pages
HydrodynamicTrappingofParticlesinanExpansion-ContractionMicrofluidicDevice,RuijinWang
Volume2013,ArticleID496243,6pages
ADirectEulerianGRPSchemeforthePredictionofGas-LiquidTwo-PhaseFlowinHTHPTransient
Wells,JiupingXu,MinLuo,JianchengHu,ShizeWang,BinQi,andZhiguoQiao
Volume2013,ArticleID171732,7pages
ANewMethodofMomentsfortheBimodalParticleSystemintheStokesRegime,Yan-huaLiuand
Zhao-qinYin
Volume2013,ArticleID840218,6pages
LatticeBoltzmannSimulationofCollisionbetween2DCircularParticlesSuspensioninCouetteFlow,
Li-ZhongHuangandDe-MingNie
Volume2013,ArticleID131025,7pages
ModelingandSimulationofFlowandFormationDamageofAsphalt-PavedRoads,M.H.Alawi,
M.M.El-Qadi,andM.A.El-Ameen
Volume2013,ArticleID384640,5pages
ModelingandNumericalAnalysisoftheSolidParticleErosioninCurvedDucts,KeSun,LinLu,
andHanhuiJin
Volume2013,ArticleID245074,8pages
DirectNumericalSimulationofConcentrationandOrientationDistributionofFibersinaMixing
Layer,KunZhou,WeiYang,ZhuHe,andMingXiao
Volume2013,ArticleID845872,8pages
NumericalModelingoftheFluidFlowinContinuousCastingTundishwithDifferentControlDevices,
ZhuHe,KunZhou,ShuangLiu,WeiXiong,andBaokuanLi
Volume2013,ArticleID984894,8pages
DesignofT-ShapedMicropumpBasedonInducedChargeElectroosmotic,KaiZhang,XiaojingMi,
andBingyingSheng
Volume2013,ArticleID386085,5pages
ExactAnalyticalSolutionforSuctionandInjectionFlowwithThermalEnhancementofFiveNanofluids
overanIsothermalStretchingSheetwithEffectoftheSlipModel:AComparativeStudy,EmadH.Aly
andAbdelhalimEbaid
Volume2013,ArticleID721578,14pages
TheFlowandHeatTransferofaNanofluidPastaStretching/ShrinkingSheetwithaConvective
BoundaryCondition,SyahiraMansurandAnuarIshak
Volume2013,ArticleID350647,9pages
EvolutionofAerosolParticlesintheRainfallProcessviaMethodofMoments,FangyangYuanand
FujunGan
Volume2013,ArticleID709497,7pages
Hindawi Publishing Corporation
Abstract and Applied Analysis
Volume 2014, Article ID 381619, 2 pages
http://dx.doi.org/10.1155/2014/381619
Editorial
Mathematical and Computational Analyses of
Flow and Transport Phenomena
ShuyuSun,1MohamedFathyEl-Amin,2andJianzhongLin3
1ComputationalTransportPhenomenaLaboratory,KingAbdullahUniversityofScienceandTechnology,
Thuwal23955-6900,SaudiArabia
2DepartmentofMathematics,AswanUniversity,Aswan81528,Egypt
3FacultyofEngineeringZhejiangUniversity,Zhejiang,China
CorrespondenceshouldbeaddressedtoShuyuSun;[e-mail]
Received7April2014;Accepted7April2014;Published8May2014
Copyright©2014ShuyuSunetal.ThisisanopenaccessarticledistributedundertheCreativeCommonsAttributionLicense,
whichpermitsunrestricteduse,distribution,andreproductioninanymedium,providedtheoriginalworkisproperlycited.
1.Introduction adirectandeffectiveapproachtoobtaintheexactanalytical
solutionforthenanoparticles-waterflowoveranisothermal
Inthisspecialissue,anumberofpapershavebeenaccepted stretchingsheetwiththeeffectoftheslipmodelinthepaper
for publication. The special issue concerns with theoreti- entitled “Exact analytical solution for suction and injection
cal investigation and mathematical analysis that are very flow with thermal enhancement of five nanofluids over an
importantforallscientific,engineering,andenvironmental isothermal stretching sheet with effect of the slip model: a
applications.Frommathematicalmodelingtocomputational comparative study.” In another paper entitled “The flow and
analysisandallthewaytodevelopinganalyticalandnumer- heat transfer of a nanofluid past a stretching/shrinking sheet
ical solutions, studying solutions properties, and so forth, with a convective boundary condition,” S. Mansur and A.
the theoretical, mathematical, and computational analyses Ishak have studied the boundary layer flow of a nanofluid
areindispensablebases.Rapidprogresshasbeenseeninthe pastastretching/shrinkingsheetwithaconvectiveboundary
analysis of flow and transport phenomena especially in the condition. Moreover, H. Qing and X. Mingliang have pro-
recentyearsbecauseofthesignificanceofflowandtransport posed a model of fundamental aspects of the Taylor-series
toscienceandengineering. expansion method of moment (TEMOM) to describe the
aerosolpopulationbalanceequationduetoBrowniancoag-
2.OverviewofWorkPresentedin ulation in the continuum regime in the paper entitled “The
ThisSpecialIssue fundamentalaspectsofTEMOMmodelforparticlecoagulation
due to Brownian motion—part ii: in the continuum regime.”
Thelistofpaperspublishedinthisissuecoversawiderange R. Wanghaspresentednumericalinvestigationsonparticle
ofapplicationsusingdifferentapproachesandanalyses,and trappingtechniquesbyusingintrinsichydrodynamiceffects
itmaybedividedintofivegroupsasfollows. inanexpansion-contractionmicrofluidicdeviceinthepaper
The first group of papers consists of nine papers that entitled“Hydrodynamictrappingofparticlesinanexpansion-
address various issues in the area of particles/nanoparticles contraction microfluidic device.” L.-Z. Huang and D.-M. Nie
suspensions flow that are used in different applications. Z. in the article entitled “Lattice Boltzmann simulation of col-
You et al. have studied a long-term deep bed filtration in lision between 2D circular particles suspension in Couette
porousmediawithsizeexclusionparticlecapturemechanism flow” simulated the collision between 2D circular particles
in the paper entitled “Exact solution for long-term size suspensioninCouetteflowbyusingmultiplerelaxationtime-
exclusionsuspension-colloidaltransportinporousmedia.”On basedlatticeBoltzmannanddirectforcing/fictitiousdomain
the other hand, E. H. Aly and A. Ebaid have introduced method. In the paper entitled “Modeling and numerical
2 AbstractandAppliedAnalysis
analysisofthesolidparticleerosionincurvedducts,”K.Sunet approaches to solve fluid structure interaction problems in
al.presentedamodelingandcomputationalstudyonparticle bloodflow.”
erosionincurvedducts.Inanotherpaper,M.H.Alawietal. The fourth group focuses on some heat transfer in
haveintroducedamathematicalmodeltodescribethefine- fluid flow problems. M. Goodarzi et al. have introduced a
particles transport carried by a two-phase flow in a porous comparisonstudyfortheproblemofnaturalconvectionheat
mediumtodescribetheformationdamageofasphalt-paved transfer inside cavities and enclosures in the paper entitled
roadsinthepaperentitled“Modelingandsimulationofflow “Comparison of the finite volume and lattice Boltzmann
andformationdamageofasphalt-pavedroads.”Finally,F.Yuan methodsforsolvingnaturalconvectionheattransferproblems
and F. Gan have used the method of moments to predict insidecavitiesandenclosures.”Inthepaperentitled“Revisiting
the evolution of aerosol particles in the rainfall process Blasiusflowbyfixedpointmethod,”D.Xuetal.haveusedthe
in the paper entitled “Evolution of aerosol particles in the fixed-pointmethodtoresolvetheBlasiusproblem.
rainfallprocessviamethodofmoments.”Inthepaperentitled Thelastgroupisrelatedtoflowandtransportapplications
“Directnumericalsimulationofconcentrationandorientation in electronic devices. Numerical simulations for the melt
distributionoffibersinamixinglayer”byK.Zhouetal.,the flowundertheinfluenceofcontroldevicesinaT-typetwo-
concentrationandorientationofsuspendedfibersinamixing strandbloomcastertundisharepresentedbyZ.Heetal.in
layerareinvestigatednumerically. the paper entitled “Numerical modeling of the fluid flow in
Thesecondgroupisconcernedwithreservoirmodeling continuouscastingtundishwithdifferentcontroldevices.”The
and simulation. S. Borazjani et al. presented the paper fluid-driven efficiency of the micropump based on induced
entitled “Exact solution for non-self-similar wave-interaction chargeelectroosmoticwasstudiednumericallybyK.Zhang
problem during two-phase four-component flow in porous et al. in the paper entitled “Design of T-shaped micropump
media.”Analyticalsolutionsforone-dimensionaltwo-phase basedoninducedchargeelectroosmotic.”
multicomponentflowsinporousmediadescribeprocessesof
enhancedoilrecovery,environmentalflowsofwastedisposal,
3.Conclusions
andcontaminantpropagationinsubterraneanreservoirsand
water management in aquifers. In the paper entitled “New This special issue presents and highlights new applications
scheme of finite difference heterogeneous multiscale method andnewchallengesinfivedifferentimportantresearchareas
to solve saturated flow in porous media,” F. Chen and L. of flow and transport. This special issue is not intended to
Renhaveconstructedafinitedifferencescheme,namely,the beanexhaustivecollectionnorasurveyofallofthecurrent
developmentofthefinitedifferenceheterogeneousmultiscale trends in flow and transport research; many additional
method (FDHMM), for simulating saturated water flow in significantresearchareasofflowandtransportstillexistand
random porous media. J. Xu et al. in their paper “A direct remaintobeexplored,butmultidisciplinaryresearcheffortis
EulerianGRPschemeforthepredictionofgas-liquidtwo-phase acleartrend.
flowinHTHPtransientwells”haveintroducedadimensional
splittingtechniquewithEuleriangeneralizedRiemannprob-
Acknowledgments
lem(GRP)schemetosolvecoupledsystemmodelofpartial
differential equations which concerns with the variation
Theauthorswouldliketothanktheparticipantsofthespecial
of the pressure and temperature, velocity, and density at
issue for their inspiring contributions and the anonymous
differenttimesanddepthsinhightemperature-highpressure
reviewersfortheirdiligentwork,whichledtothehighquality
(HTHP) gas-liquid two-phase flow wells. In addition to
ofthespecialissue.TheleadguesteditorS.Sunwouldliketo
flowsimulationinreservoir,reservoirsedimentationisalso
acknowledgeKAUSTFacultyBaselineResearchFund(BRF)
considered in this issue. The basic factors influencing the
forsupportinghisresearchinflowandtransport.
density of sediments deposited in reservoirs are discussed,
anduncertaintiesinreservoirsedimentationhavebeendeter- ShuyuSun
minedusingtheDeltamethodbyF.Imanshoaretal.inthe MohamedFathyEl-Amin
paperentitled“Reservoirsedimentationbasedonuncertainty JianzhongLin
analysis.” Also, the paper of L. Gan and J. Xu, “Retrofitting
transportation network using a fuzzy random multiobjective
bilevel model to hedge against seismic risk,” focuses on
the problem of hedging against seismic risk through the
retrofitoftransportationsystemsinlarge-scaleconstruction
projects.
The third group, which consists of two papers, is con-
cerned with some biological applications. In the first paper
entitled“A new method of moments for the bimodal particle
systemintheStokesregime,”Y.-H.LiuandZ.-Q.Yinstudied
the particle system in the Stokes regime with a bimodal
distribution. A. Y. Tang and N. Amin have reviewed some
numerical approaches to solve fluid structure interaction
problemsinbloodflowinthepaperentitled“Somenumerical