M M M
SOLUTIONS MANUAL
M
,Contents
1 Introduction ....................................................................................................1
References ......................................................................................................25
2 HydrodynamicMPrinciples ............................................................................29
References ......................................................................................................58
3 TurbulenceMinMOpenMChannelMFlows .........................................................59
References ......................................................................................................85
4 SedimentMThreshold .....................................................................................87
References .................................................................................................... 116
5 BedloadMTransport ..................................................................................... 119
References .................................................................................................... 152
6 Suspended-LoadMTransport....................................................................... 155
References .................................................................................................... 183
7 Total-LoadMTransport ................................................................................ 185
References .................................................................................................... 211
8 Bedforms ..................................................................................................... 213
References .................................................................................................... 228
9 FluvialMProcesses:MMeanderingMandMBraiding ........................................ 231
References .................................................................................................... 244
10 Scour ............................................................................................................ 245
References .................................................................................................... 274
11 DimensionalMAnalysisMandMSimilitude ...................................................... 277
References .................................................................................................... 286
AuthorMIndex ...................................................................................................... 287
SubjectMIndex ..................................................................................................... 291
xv
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@sseeisism
micicisisoolalatitoionn
,About the Authors
M M
SubhasishMDeyMisMaMhydraulicianMandManMeducator.MHeMisMinternationallyMknow
nMforMhisMresearchMandMisMacclaimedMforMhisMcontributionsMtoMdevelopingMtheorie
sMandMsolu-
MtionMmethodologiesMforMvariousMproblemsMinMhydrodynamicsMandMsedimentMtran
sport.MHeMcurrentlyMholdsMtheMpositionMofMdistinguishedMprofessorMofMIndianMIns
tituteMofMTechnologyMJodhpur.
Dey’sMareasMofMresearchMinterestMincludeMappliedMhydrodynamics,Mturbulence,
MandMsedimentMtransport,MinMwhichMheMhasMaboutM40MyearsMofMexperience.MHeMwa
sMconferredMwithMtheMHansMAlbertMEinsteinMAwardMfromMtheMAmericanMSocietyMo
fMCivilMEngineersMinM2022.
SkMZeeshanMAliMisMaMresearcherMandManMacademician.MCurrently,MheMisManMassi
stantMprofessorMinMtheMdepartmentMofMcivilMengineeringMatMtheMIndianMInstituteMofM
TechnologyMHyderabad,MwhereMheMteachesMfluidMmechanics,MhydraulicMengineerin
g,Mopen-channelMflow,MandMsedimentMtransport.
AliMcontributesMtoMtheMfieldMofMclassicalMandMappliedMhydrodynamics.MHeMisM
oneM ofMtheMleadingMcollaboratorsMofMtheMfirstMauthorMofMthisMbook.MHisMareasMo
fMresearchMinterestMincludeMboundaryMlayerMflows,MturbulentMflows,MscalingMlaws
MofMturbulence,MfluvialMhydraulics,MsedimentMtransport,MandMmorphodynamicMinst
abilities.
xvii
@
@sseeisism
micicisisoolalatitoionn
, Chapter 1 M
Introduction
ProblemM1.1M TheMlongest,Mintermediate,MandMshortestMlengthsMofManMellipsoidal
Msedi-
MmentMparticleMareM2,M1.5,MandM0.8Mmm,Mrespectively.MDetermineMtheMnominalMdi
ameterMdn,MareaMdiameterMda,MsieveMdiameterMd,MphiM(M )Munit,MsphericityMSc,MCore
yMshapeMfactorMSp,MshapeMparameterMSsp,MvolumeMcoefficientMkv,MandMsurfaceMcoe
= MofMtheMellipsoidal
fficientMkc.MTakeMtheMsurfaceMarea + + MwithMa1,Ma2,MandMa=
Mparticle 3
MbeingMtheMlongest,Minterme-Mdiate,MandMshortestMlengthsMasMS π{[(a1a2)q
(a2a3)q (a1a3)q]/3}1/qMwithMqM 1.6.
Solution
TheMvolumeMVM ofManMellipsoidalMsedimentMparticleMis
π
VM =M a1a2a3 (S1.1)
6M
whereMa1,Ma2,MandMa3M areMtheMlongest,Mintermediate,MandMshortestMlengths.MWithMa1M
=
2Mmm,Ma2M =M1.5Mmm,MandMa3M =M0.8Mmm,
π
VM =M ×M2M×M1.5M×M0.8M=M1.26Mmm 3
M.
6M
TheMnominalMdiameterMdnMi
s
M MM
6V
1/3 ⇐MEq.M(1.6)
dnM = π
M M MM
6M×M1.26
1/3M
⇒MdnM = π =M1.34M mm.
NoteMFigure,Mtable,MandMequationMnumbersMdevoidMofMtheMletterM‘S’MreferMtoMthoseMinMtheMc
ompanionMbookMDeyM(2024).
@seismicisolation