Table Of ContentAPPLICATION OF CONTROL VOLUME BASED FINITE
ELEMENT METHOD (CVFEM) FOR NANOFLUID FLOW
AND HEAT TRANSFER
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APPLICATION OF
CONTROL VOLUME
BASED FINITE
ELEMENT METHOD
(CVFEM) FOR
NANOFLUID FLOW
AND HEAT TRANSFER
M S
OHSEN HEIKHOLESLAMI
DepartmentofMechanicalEngineering,BabolNoshirvaniUniversityofTechnology,Babol,IslamicRepublicofIran
Elsevier
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Contents
Biography ix 5.4 MHDNaturalConvectionofAl2O3-waterNanofluid
ConsideringThermophoresisandBrownianMotion
Preface xi
Effects 110
References 123
1. Detailed Explanation of Control Volume-based 6. Nanofluid Forced and Mixed Convection
Finite Element Method 1 Heat Transfer by Means of CVFEM 127
1.1 Introduction 1 6.1 Introduction 127
1.2 TheDiscretization:Grid,Mesh,andCloud 1 6.2 MagneticNanofluidMixedConvectionHeat
1.3 TheElementandtheInterpolationShapeFunctions 3 TransferTreatmentinthePresenceofVariable
1.4 RegionofSupportandControlVolume 4 MagneticField 127
1.5 DiscretizationandSolution 5 6.3 ForcedConvectionofNanofluidinaPorousLid
References 9 DrivenEnclosureinthePresenceofLorentzForces 135
6.4 InfluenceofLorentzForcesonNanofluidFlowInside
aPorousEnclosureWithMovingWall 144
2. Simulation of Vorticity Stream Function
6.5 Single-phaseModelSimulationofNanofluidForced
Formulation by Means of CVFEM 15
ConvectionInsideaPermeableEnclosureWith
2.1 CVFEMStreamFunction-VorticitySolution
SinusoidalWall 151
foraLidDrivenCavityFlow 15
References 158
2.2 CVFEMStreamFunction-VorticitySolutionfor
NaturalConvection 20
References 30 7. Effect of Uniform Lorentz Forces
on Nanofluid Flow Using CVFEM 163
3. Various Application of Nanofluid for Heat 7.1 Introduction 163
7.2 NanofluidFreeConvectionHeatTransferinan
Transfer Augmentation 33
EnclosureBetweenaCircularandaSinusoidal
3.1 Introduction 33
CylinderinthePresenceofMagneticField 163
3.2 SimulationofNanofluidFlowandHeatTransfer 37
7.3 InfluenceofaMagneticFieldonFreeConvection
References 63
inanInclinedHalf-annulusEnclosureFilledWith
Cu-waterNanofluid 171
4. Single-phase Model for Nanofluid Free 7.4 MHDNanofluidConvectiveFlowinanInclined
EnclosureWithSinusoidalWall 177
Convection Heat Transfer by Means of CVFEM 73
7.5 MHDNanofluidFlowinaCavityWithHeatFlux
4.1 Introduction 73
BoundaryCondition 187
4.2 NanofluidHydrothermalAnalysisinaComplex
References 196
ShapedCavity 73
4.3 NaturalConvectionHeatTransferinaNanofluidFilled
EnclosureWithEllipticInnerCylinder 77
8. Influence of Variable Lorentz Forces
4.4 NanofluidFreeConvectionHeatTransferinaTilted
on Nanofluid Free Convection Using CVFEM 201
Cavity 87
References 94 8.1 Introduction 201
8.2 InfluenceofExternalVariableMagneticField
onFerrofluidFlowandConvectiveHeatTransfer 201
5. Buongiorno Model for Nanofluid Treatment 8.3 FerrofluidFlowandHeatTransferinaSemiannulus
Using CVFEM 99 EnclosureinthePresenceofThermalRadiation 207
5.1 Introduction 99 8.4 InfluenceofSpatiallyVariableMagneticField
5.2 BuongiornoModelforNanofluidFlowandHeat onFerrofluidFlowandHeatTransferConsidering
TransferUsingHeatlineAnalysis 99 ConstantHeatFluxBoundaryCondition 218
5.3 Two-phaseModelforNanofluidNaturalConvection 8.5 EffectofSpaceDependentMagneticFieldonFree
HeatTransfer 107 ConvectionofFe O -WaterNanofluid 229
3 4
v
vi
CONTENTS
8.6 NonuniformMagneticFieldEffectonNanofluid 11.3 FreeConvectionofNanofluidUndertheEffect
HydrothermalTreatmentConsideringBrownian ofElectricFieldinaPorousEnclosure 379
MotionandThermophoresisEffects 236 11.4 NanofluidNaturalConvectionUndertheInfluence
8.7 ExternalMagneticSourceEffectonWaterBased ofCoulombForceinaPorousEnclosure 387
NanofluidConvectiveHeatTransfer 241 References 395
8.8 NanofluidTransportationinaCurvedCavity
inthePresenceofMagneticSource 252
8.9 FerrofluidConvectiveHeatTransferUnder 12. Forced Convection of Nanofluid
theInfluenceofExternalMagneticSource 260 in Existence of Electric Field Using CVFEM 399
8.10 NanofluidHydrothermalTreatmentinaCavity
12.1 Introduction 399
WithVariableMagneticField 273
12.2 EHDNanofluidForceConvectiveHeat
8.11 MagneticSourceImpactonMagneticNanofluid TransferConsideringElectricFieldDependent
ConvectiveHeatTransfer 281
Viscosity 399
References 288
12.3 ElectrohydrodynamicNanofluidHydrothermal
TreatmentinanEnclosureWithSinusoidalUpper
Wall 405
9. Nanofluid Forced Convective Heat Transfer
12.4 EffectofElectricFieldonHydrothermalBehavior
in Presence of Variable Magnetic Field Using
ofNanofluidinaComplexGeometry 414
CVFEM 293
12.5 EffectofCoulombForcesonFe O -H2ONanofluid
3 4
9.1 Introduction 293 ThermalImprovement 419
9.2 EffectofNonuniformMagneticFieldonForced 12.6 ActiveMethodforNanofluidHeatTransfer
ConvectionHeatTransferofFe3O4-WaterNanofluid 293 EnhancementbyMeansofEHD 427
9.3 MagneticNanofluidForcedConvectiveHeatTransfer References 437
inthePresenceofVariableMagneticFieldUsing
Two-PhaseModel 298
9.4 ForcedConvectionHeatTransferinaSemiannulus 13. Darcy Model for Nanofluid Flow in a Porous
UndertheInfluenceofaVariableMagneticField 304
Media by Means of CVFEM 441
9.5 FlowandConvectiveHeatTransferofaFerronanofluid
13.1 Introduction 441
inaDouble-SidedLid-DrivenCavityWithaWavy
13.2 MagnetohydrodynamicCuO-WaterNanofluid
WallinthePresenceofaVariableMagneticField 312
inaPorousComplexShapedEnclosure 441
References 323
13.3 AnalysisofWater-BasedNanofluidFlowandHeat
TransferDuetoMagneticFieldinaPorous
10. Influence of Shape Factor on Nanofluid Enclosure 447
13.4 MagnetohydrodynamicNanofluidConvection
Heat Transfer Improvement Using CVFEM 327
inaPorousEnclosureConsideringHeatFlux
10.1 Introduction 327
BoundaryCondition 459
10.2 ForcedConvectionofNanofluidinthePresence
13.5 EffectofLorentzForcesonNanofluidFlow
ofConstantMagneticFieldConsideringShape
inaPorousCylinderConsideringDarcyModel 468
EffectsofNanoparticles 327
References 479
10.3 EffectofShapeFactoronFe O -WaterNanofluid
3 4
ForcedConvectioninthePresenceofExternal
MagneticField 335
14. Non-Darcy Model for Nanofluid
10.4 MagneticSourceEffectonNanofluidFlowinPorous
Hydrothermal Treatment in a Porous
MediumConsideringVariousShapeofNanoparticles 343
10.5 MagnetohydrodynamicCuO-WaterTransportation Medium Using CVFEM 483
InsideaPorousCavityConsideringShapeFactor 14.1 Introduction 483
Effect 348 14.2 MHDNanofluidFreeConvectiveHeatTransfer
10.6 MagneticFieldInfluenceonCuO-H ONanofluid inaPorousTiltedEnclosure 483
2
ConvectiveFlowinaPermeableCavityConsidering 14.3 MagneticNanofluidFlowinaPorousCavity
VariousShapesforNanoparticles 360 UsingCuONanoparticles 488
References 368 14.4 NanofluidTransportationinPorousMediaUnder
theInfluenceofExternalMagneticSource 499
14.5 NanofluidConvectiveHeatTransferIntensification
11. Electrohydrodynamic Nanofluid Natural
inaPorousCircularCylinder 513
Convection Using CVFEM 373 14.6 ConvectiveFlowofNanofluidInsideaLid-Driven
11.1 Introduction 373 PorousCavity 521
11.2 ElectrohydrodynamicFreeConvectionHeatTransfer 14.7 NanofluidHeatTransferinaPermeableEnclosure
ofaNanofluidinaSemiannulusEnclosure inPresenceofVariableMagneticField 532
WithaSinusoidalWall 373 References 544
vii
CONTENTS
15. Thermal Nonequilibrium Model for 18.2 EHDNanofluidFlowinaPermeableEnclosure
Nanofluid Flow in a Porous Enclosure WithSinusoidalWall 649
18.3 EffectofShapeFactoronElectrohydrodynamic
by Means of CVFEM 547
NanofluidFlowinaPorousMedium 655
15.1 Introduction 547
18.4 EffectofElectiveFieldonNanofluidFlow
15.2 SimulationofNanofluidFlowInsideaPorous
inaPorousLidDrivenCavityinExistence
EnclosureviaNonequilibriumModel 547
ofElectricField 662
15.3 NanofluidFreeConvectioninaPorousCavity
References 670
ConsideringtheTwo-TemperatureModel 558
15.4 NanofluidFlowinaPorousSinusoidalCavity
ConsideringThermalNonequilibriumModel 568 19. Nanofluid Heat Transfer Enhancement
References 577 in Presence of Melting Surface Using CVFEM 675
19.1 Introduction 675
19.2 MeltingHeatTransferInfluenceonNanofluid
16. Nonuniform Magnetic Field Effect
FlowInsideaCavityinthePresenceofaMagnetic
on Nanofluid Convective Flow in a Porous Field 675
Cavity 581 19.3 SimulationofCuO-WaterNanofluidHeatTransfer
16.1 Introduction 581 EnhancementinthePresenceofaMeltingSurface 682
16.2 EffectofVariableMagneticFieldonNanofluid 19.4 CuO-WaterNanofluidMagnetohydrodynamic
ConvectiveHeatTransferinaPorousCurved NaturalConvectionInsideaSinusoidalAnnulus
Enclosure 581 inthePresenceofMeltingHeatTransfer 691
16.3 NanofluidNaturalConvectioninPorousMedia 19.5 MHDNanofluidNaturalConvectionInsideaHalf
inthePresenceofaMagneticSource 589 AnnulusWithMeltingSurface 697
16.4 HeatTransferofFe O -WaterNanofluid References 704
3 4
inaPermeableMediumWithThermalRadiation 595
16.5 EffectofExternalMagneticSourceonFe O -H O
3 4 2 20. Nanofluid Convective Heat Transfer
NanofluidBehaviorinaPermeableCavity
Considering Magnetic Field Dependent (MFD)
ConsideringShapeEffect 606
Viscosity by Means of CVFEM 707
References 620
20.1 Introduction 707
20.2 NaturalConvectionofMagneticNanofluid
17. Thermal Radiation Influence on Nanofluid ConsideringMFDViscosityEffect 707
Flow in a Porous Medium in the Presence 20.3 MagneticFieldInfluenceonNanofluidThermal
RadiationinaCavityWithTiltedEllipticInner
of Coulomb Forces Using CVFEM 623
Cylinder 713
17.1 Introduction 623
20.4 ThermalRadiationofFerrofluidinExistence
17.2 CombinedNaturalConvectionandRadiation
ofLorentzForcesConsideringVariableViscosity 723
HeatTransferofNanofluidUndertheImpact
20.5 MagneticNanofluidNaturalConvectioninPresence
ofElectricFieldinaPorousCavity 623
ofThermalRadiationConsideringVariableViscosity 733
17.3 NanofluidFreeConvectionUndertheInfluence
20.6 NumericalStudyoftheEffectofMagneticField
ofanElectricFieldinaPorousWavyEnclosure 629
onFe O -WaterFerrofluidConvectionWith
17.4 EHDNanofluidFlowinaPorousMediumConsidering 3 4
ThermalRadiation 737
RadiationParameter 637
References 746
References 644
Nomenclature 751
18. Influence of Electric Field on Forced
Convection of Nanofluid in a Porous Medium Appendix: A CVFEM Code for Lid
by Means of CVFEM 649 Driven Cavity 753
18.1 Introduction 649 Index 761
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Biography
MohsenSheikholeslamiKandelousi (M. Sheikholeslami)
Department of Mechanical Engineering, Babol Noshirvani University of Technology,
Babol,IslamicRepublic of Iran
Dr. Mohsen Sheikholeslami works in the Department of Mechanical Engineering, Babol
Noshirvani University of Technology, Iran. He is the head of renewable energy systems
and nanofluid applications in the heat transfer laboratory, Babol Noshirvani University of
Technology. His research interests include nanofluid, CFD, simulation, mesoscopic model-
ing, nonlinear science, magnetohydrodynamic, ferrohydrodynamic, electrohydrodynamic,
and heat exchangers. He haswrittenseveral papersand books invariousfields of mechan-
ical engineering. He is also the first author of Applications of Nanofluid for Heat Transfer
Enhancement, Application of Semi-Analytical Methods for Nanofluid Flow and Heat Transfer,
Hydrothermal Analysis in Engineering Using Control Volume Finite Element Method, and
External Magnetic Field Effects on Hydrothermal Treatment of Nanofluid, published by Elsevier.
According to Thomson Reuters’ report (Clarivate Analytics), he was selected as the Web of
ScienceHighly Cited Researcher(Top0.01%) in 2016 and2017.
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