h h h
SOLUTIONS MANUAL
h
,Contents
1 Introduction ....................................................................................................1
References ......................................................................................................25
2 HydrodynamichPrinciples .............................................................................29
References ......................................................................................................58
3 TurbulencehinhOpenhChannelhFlows ............................................................ 59
References ......................................................................................................85
4 SedimenthThreshold ...................................................................................... 87
References .................................................................................................... 116
5 BedloadhTransport ...................................................................................... 119
References .................................................................................................... 152
6 Suspended-LoadhTransport ....................................................................... 155
References .................................................................................................... 183
7 Total-LoadhTransport ................................................................................. 185
References .................................................................................................... 211
8 Bedforms ..................................................................................................... 213
References .................................................................................................... 228
9 FluvialhProcesses:hMeanderinghandhBraiding ........................................... 231
References .................................................................................................... 244
10 Scour ............................................................................................................ 245
References .................................................................................................... 274
11 DimensionalhAnalysishandhSimilitude ........................................................ 277
References .................................................................................................... 286
AuthorhIndex ....................................................................................................... 287
SubjecthIndex ...................................................................................................... 291
xv
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@sseeisism
micicisisoolalatitoionn
,About the Authors
h h
SubhasishhDeyhishahhydraulicianhandhanheducator.hHehishinternationallyhknownhforh
hishresearchhandhishacclaimedhforhhishcontributionshtohdevelopinghtheorieshandhsolu-
htionhmethodologieshforhvarioushproblemshinhhydrodynamicshandhsedimenthtransport
.hHehcurrentlyhholdshthehpositionhofhdistinguishedhprofessorhofhIndianhInstitutehofhT
echnologyhJodhpur.
Dey’shareashofhresearchhinteresthincludehappliedhhydrodynamics,hturbulence,hand
hsedimenthtransport,hinhwhichhhehhashabouth40hyearshofhexperience.hHehwashconferre
dhwithhthehHanshAlberthEinsteinhAwardhfromhthehAmericanhSocietyhofhCivilhEnginee
rshinh2022.
SkhZeeshanhAlihishahresearcherhandhanhacademician.hCurrently,hhehishanhassistanthp
rofessorhinhthehdepartmenthofhcivilhengineeringhaththehIndianhInstitutehofhTechnologyh
Hyderabad,hwherehhehteacheshfluidhmechanics,hhydraulichengineering,hopen-
channelhflow,handhsedimenthtransport.
Alihcontributeshtohthehfieldhofhclassicalhandhappliedhhydrodynamics.hHehishoneh
ofhthehleadinghcollaboratorshofhthehfirsthauthorhofhthishbook.hHishareashofhresearchhin
teresthincludehboundaryhlayerhflows,hturbulenthflows,hscalinghlawshofhturbulence,hfl
uvialhhydraulics,hsedimenthtransport,handhmorphodynamichinstabilities.
xvii
@
@sseeisism
micicisisoolalatitoionn
, Chapter 1 h
Introduction
Problemh1.1h Thehlongest,hintermediate,handhshortesthlengthshofhanhellipsoidalhsedi-
hmenthparticlehareh2,h1.5,handh0.8hmm,hrespectively.hDeterminehthehnominalhdiamete
rhdn,hareahdiameterhda,hsievehdiameterhd,hphih(h )hunit,hsphericityhSc,hCoreyhshapehfacto
rhSp,hshapehparameterhSsp,hvolumehcoefficienthkv,handhsurfacehcoefficienthkc.hTakehth
ehsurfacehareahofhthehellipsoidalhparticlehwithha1,ha2,handha3hbeinghthehlongest,hinterm
e-hdiate,handhshortesthlengthshashS= π{[(a1a2)q + (a2a3)q + =
(a1a3)q]/3}1/qhwithhqh 1.6.
Solution
ThehvolumehVh ofhanhellipsoidalhsedimenthparticlehis
π
Vh =h a1a2a3 (S1.1)
6h
whereha1,ha2,handha3h arehthehlongest,hintermediate,handhshortesthlengths.hWithha1h =
2hmm,ha2h =h1.5hmm,handha3h =h0.8hmm,
π
Vh =h ×h2h×h1.5h×h0.8h=h1.26hmmh3.
6h
Thehnominalhdiameterhdnh is
h hh 1/
6V
dnh = 3 ⇐hEq.h(1.6)
π
h h hh
6h×h1.26
1/3h
⇒hdnh = π =h1.34h mm.
NotehFigure,htable,handhequationhnumbershdevoidhofhthehletterh‘S’hreferhtohthosehinhthehcompanio
nhbookhDeyh(2024).
©hThehAuthor(s),hunderhexclusivehlicensehtohSpringerhNaturehSwitzerlandhAGh2024 1
S.hDeyhandhS.hZ.hAli,hFluvialhHydrodynamicsh-
@seismicisolation