= = =
SOLUTIONS MANUAL
=
,Contents
1 Introduction ....................................................................................................1
References ......................................................................................................25
2 Hydrodynamic=Principles .............................................................................29
References ......................................................................................................58
3 Turbulence=in=Open=Channel=Flows ............................................................ 59
References ......................................................................................................85
4 Sediment=Threshold ...................................................................................... 87
References .................................................................................................... 116
5 Bedload=Transport ...................................................................................... 119
References .................................................................................................... 152
6 Suspended-Load=Transport ....................................................................... 155
References .................................................................................................... 183
7 Total-Load=Transport ................................................................................. 185
References .................................................................................................... 211
8 Bedforms ..................................................................................................... 213
References .................................................................................................... 228
9 Fluvial=Processes:=Meandering=and=Braiding ........................................... 231
References .................................................................................................... 244
10 Scour ............................................................................................................ 245
References .................................................................................................... 274
11 Dimensional=Analysis=and=Similitude ........................................................ 277
References .................................................................................................... 286
Author=Index ....................................................................................................... 287
Subject=Index ...................................................................................................... 291
xv
@
@sseeisism
micicisisoolalatitoionn
,About the Authors
= =
Subhasish=Dey=is=a=hydraulician=and=an=educator.=He=is=internationally=known=for
=his=research=and=is=acclaimed=for=his=contributions=to=developing=theories=and=sol
u-
=tion=methodologies=for=various=problems=in=hydrodynamics=and=sediment=transpor
t.=He=currently=holds=the=position=of=distinguished=professor=of=Indian=Institute=of=
Technology=Jodhpur.
Dey’s=areas=of=research=interest=include=applied=hydrodynamics,=turbulence,=an
d=sediment=transport,=in=which=he=has=about=40=years=of=experience.=He=was=confer
red=with=the=Hans=Albert=Einstein=Award=from=the=American=Society=of=Civil=Engi
neers=in=2022.
Sk=Zeeshan=Ali=is=a=researcher=and=an=academician.=Currently,=he=is=an=assistant=
professor=in=the=department=of=civil=engineering=at=the=Indian=Institute=of=Technolog
y=Hyderabad,=where=he=teaches=fluid=mechanics,=hydraulic=engineering,=open-
channel=flow,=and=sediment=transport.
Ali=contributes=to=the=field=of=classical=and=applied=hydrodynamics.=He=is=one=
of=the=leading=collaborators=of=the=first=author=of=this=book.=His=areas=of=research=i
nterest=include=boundary=layer=flows,=turbulent=flows,=scaling=laws=of=turbulence,=
fluvial=hydraulics,=sediment=transport,=and=morphodynamic=instabilities.
xvii
@
@sseeisism
micicisisoolalatitoionn
, Chapter 1 =
Introduction
Problem=1.1= The=longest,=intermediate,=and=shortest=lengths=of=an=ellipsoidal=sedi
-
=ment=particle=are=2,=1.5,=and=0.8=mm,=respectively.=Determine=the=nominal=diamet
er=dn,=area=diameter=da,=sieve=diameter=d,=phi=(= )=unit,=sphericity=Sc,=Corey=shape=fa
ctor=Sp,=shape=parameter=Ssp,=volume=coefficient=kv,=and=surface=coefficient=kc.=Tak
= =particle=with
e=the=surface=area=of=the=ellipsoidal +=a1,=a2,=and
+ =a3=being=the=longest,=in
=
terme-=diate,=and=shortest=lengths=as=S π{[(a1a2)q (a2a3)q
(a1a3)q]/3}1/q=with=q= 1.6.
Solution
The=volume=V= of=an=ellipsoidal=sediment=particle=is
π
V= == a1a2a3 (S1.1)
6=
where=a1,=a2,=and=a3= are=the=longest,=intermediate,=and=shortest=lengths.=With=a1= =
2=mm,=a2= ==1.5=mm,=and=a3===0.8=mm,
π
3
V= == ×=2=×=1.5=×=0.8===1.26=mm= .
6=
The=nominal=diameter=dn=is
= == 1/
6V
dn= = 3 ⇐=Eq.=(1.6)
π
= = == 1/3=
6=×=1.26
⇒=dn= = ==1.34= mm.
π
Note=Figure,=table,=and=equation=numbers=devoid=of=the=letter=‘S’=refer=to=those=in=the=compani
on=book=Dey=(2024).
©=The=Author(s),=under=exclusive=license=to=Springer=Nature=Switzerland=AG=2024 1
@seismicisolation
S.=Dey=and=S.=Z.=Ali,=Fluvial=Hydrodynamics =-