ALL 11 CHAPTERS COVERED
rr rr rr
SOLUTIONS MANUAL
rr
,Contents
1 Introduction ....................................................................................................1
References ......................................................................................................25
2 Hydrodynamic Principles .............................................................................29
rr
References ......................................................................................................58
3 Turbulence in Open Channel Flows .............................................................. 59
rr rr rr rr
References ......................................................................................................85
4 Sediment Threshold ...................................................................................... 87
rr
References .................................................................................................... 116
5 Bedload Transport ...................................................................................... 119
rr
References .................................................................................................... 152
6 Suspended-Load Transport........................................................................ 155
rr
References .................................................................................................... 183
7 Total-Load Transport ................................................................................. 185
rr
References .................................................................................................... 211
8 Bedforms ..................................................................................................... 213
References .................................................................................................... 228
9 Fluvial Processes: Meandering and Braiding ............................................ 231
rr rr rr rr
References .................................................................................................... 244
10 Scour ............................................................................................................ 245
References .................................................................................................... 274
11 Dimensional Analysis and Similitude......................................................... 277
rr rr rr
References .................................................................................................... 286
Author Index ....................................................................................................... 287
rr
Subject Index ....................................................................................................... 291
rr
xv
@
@sseeisism
micicisisoolalatitoionn
,About the Authors rr rr
Subhasish Dey is a hydraulician and an educator. He is internationally known for
rr rr rr rr rr rr rr rr rr rr rr rr
his research and is acclaimed for his contributions to developing theories and solu-
rr rr rr rr rr rr rr rr rr rr rr rr rr
tion methodologies for various problems in hydrodynamics and sediment transport. He
rr rr rr rr rr rr rr rr rr rr rr
currently holds the position of distinguished professor of Indian Institute of
rr rr rr rr rr rr rr rr rr rr rr
Technology Jodhpur.
rr rr
Dey’s areas of research interest include applied hydrodynamics, turbulence, and
rr rr rr rr rr rr rr rr rr
sediment transport, in which he has about 40 years of experience. He was conferred with
rr rr rr rr rr rr rr rr rr rr rr rr rr rr rr
theHans Albert Einstein Award from theAmerican Society of Civil Engineers in 2022.
rr r rr rr rr rr rr r rr r rr rr rr rr
Sk Zeeshan Ali is a researcher and an academician. Currently, he is an assistant
rr rr rr rr rr rr rr rr rr rr rr rr rr
professor in the department of civil engineering at the Indian Institute of Technology
rr rr rr rr rr rr rr rr rr rr rr rr rr
Hyderabad, where he teaches fluid mechanics, hydraulic engineering, open-channel
rr r r r r r r r r
flow, and sediment transport.
rr rr rr rr
Ali contributes to the field of classical and applied hydrodynamics. He is one
rr rr rr rr rr rr rr rr rr rr rr rr
r of the leading collaborators of the first author of this book. His areas of research
r rr rr rr rr rr rr rr rr rr rr rr rr rr rr
interest include boundary layer flows, turbulent flows, scaling laws of turbulence,
rr rr rr rr rr rr rr rr rr rr rr
fluvial hydraulics, sediment transport, and morphodynamic instabilities.
rr rr rr rr rr rr rr
xvii
@
@sseeisism
micicisisoolalatitoionn
, Chapter 1 rr
Introduction
Problem 1.1 The longest, intermediate, and shortest lengths of an ellipsoidal sedi-
rr r r rr rr rr rr rr rr rr rr rr
ment particle are 2, 1.5, and 0.8 mm, respectively. Determine the nominal diameter dn,
rr rr rr rr rr rr rr rr rr rr rr rr rr rr
areadiameter da, sieve diameterd, phi(Ф)unit, sphericitySc,Corey shape factor Sp,
rr r rr rr rr r r rr r r r r r rr rr
shape parameter Ssp, volume coefficient kv, and surface coefficient kc. Take the
rr rr rr rr rr rr rr rr rr rr rr rr
surface area of the ellipsoidal particle with a1, a2, and a3 being the longest, interme-
rr rr rr rr rr rr rr rr rr rr rr rr rr rr rr
diate, and shortest lengths as S = π{[(a1a2)q + (a2a3)q + (a1a3)q]/3}1/q with q =
rr rr rr rr rr rr rr rr
1.6.
r r
Solution
The volume V of an ellipsoidal sediment particle is
r rr rr rr rr rr rr r
π
V = a1a2a3 (S1.1)
6
r r r r
r
where a1, a2, and a3 are the longest, intermediate, and shortest lengths. With a1 =
rr rr rr rr rr rr rr rr rr rr rr rr rr rr
2 mm, a2 =1.5 mm, and a3 =0.8 mm,
rr rr rr r rr rr rr rr r rr
π
3
V = ×2 ×1.5 ×0.8 = 1.26 mm .
6
r r r r r rr r rr r rr rr rr r r
r r
The nominal diameter dn is rr rr rr rr
6V
r r r r
dn = rr
r r
1/3 ⇐Eq. (1.6) r rr
π
1/3
6 ×1.26
r r r r r r r r
r r
⇒ dn = = 1.34 mm.
rr r
π
rr r r rr rr
Note Figure, table, and equation numbers devoid of the letter ‘S’ refer to those in the companion
rr rr rr rr rr rr rr rr rr rr rr rr rr rr rr rr
book Dey (2024).
rr rr rr
© The Author(s), under exclusive license to Springer Nature Switzerland AG 2024
rr rr rr rr rr rr rr rr rr rr rr 1
S. Dey and S. Z. Ali, Fluvial Hydrodynamics - Solutions Manual, GeoPlanet: Earth and
rr rr rr rr rr rr rr rr rr rr rr rr rr
Planetary Sciences, https://doi.org/10.@
rr 100s7e/9
rr
is7m
8-3ic-0is3o1-l2a5ti7o3n7-7_1
@seismicisolation rr
rr rr rr
SOLUTIONS MANUAL
rr
,Contents
1 Introduction ....................................................................................................1
References ......................................................................................................25
2 Hydrodynamic Principles .............................................................................29
rr
References ......................................................................................................58
3 Turbulence in Open Channel Flows .............................................................. 59
rr rr rr rr
References ......................................................................................................85
4 Sediment Threshold ...................................................................................... 87
rr
References .................................................................................................... 116
5 Bedload Transport ...................................................................................... 119
rr
References .................................................................................................... 152
6 Suspended-Load Transport........................................................................ 155
rr
References .................................................................................................... 183
7 Total-Load Transport ................................................................................. 185
rr
References .................................................................................................... 211
8 Bedforms ..................................................................................................... 213
References .................................................................................................... 228
9 Fluvial Processes: Meandering and Braiding ............................................ 231
rr rr rr rr
References .................................................................................................... 244
10 Scour ............................................................................................................ 245
References .................................................................................................... 274
11 Dimensional Analysis and Similitude......................................................... 277
rr rr rr
References .................................................................................................... 286
Author Index ....................................................................................................... 287
rr
Subject Index ....................................................................................................... 291
rr
xv
@
@sseeisism
micicisisoolalatitoionn
,About the Authors rr rr
Subhasish Dey is a hydraulician and an educator. He is internationally known for
rr rr rr rr rr rr rr rr rr rr rr rr
his research and is acclaimed for his contributions to developing theories and solu-
rr rr rr rr rr rr rr rr rr rr rr rr rr
tion methodologies for various problems in hydrodynamics and sediment transport. He
rr rr rr rr rr rr rr rr rr rr rr
currently holds the position of distinguished professor of Indian Institute of
rr rr rr rr rr rr rr rr rr rr rr
Technology Jodhpur.
rr rr
Dey’s areas of research interest include applied hydrodynamics, turbulence, and
rr rr rr rr rr rr rr rr rr
sediment transport, in which he has about 40 years of experience. He was conferred with
rr rr rr rr rr rr rr rr rr rr rr rr rr rr rr
theHans Albert Einstein Award from theAmerican Society of Civil Engineers in 2022.
rr r rr rr rr rr rr r rr r rr rr rr rr
Sk Zeeshan Ali is a researcher and an academician. Currently, he is an assistant
rr rr rr rr rr rr rr rr rr rr rr rr rr
professor in the department of civil engineering at the Indian Institute of Technology
rr rr rr rr rr rr rr rr rr rr rr rr rr
Hyderabad, where he teaches fluid mechanics, hydraulic engineering, open-channel
rr r r r r r r r r
flow, and sediment transport.
rr rr rr rr
Ali contributes to the field of classical and applied hydrodynamics. He is one
rr rr rr rr rr rr rr rr rr rr rr rr
r of the leading collaborators of the first author of this book. His areas of research
r rr rr rr rr rr rr rr rr rr rr rr rr rr rr
interest include boundary layer flows, turbulent flows, scaling laws of turbulence,
rr rr rr rr rr rr rr rr rr rr rr
fluvial hydraulics, sediment transport, and morphodynamic instabilities.
rr rr rr rr rr rr rr
xvii
@
@sseeisism
micicisisoolalatitoionn
, Chapter 1 rr
Introduction
Problem 1.1 The longest, intermediate, and shortest lengths of an ellipsoidal sedi-
rr r r rr rr rr rr rr rr rr rr rr
ment particle are 2, 1.5, and 0.8 mm, respectively. Determine the nominal diameter dn,
rr rr rr rr rr rr rr rr rr rr rr rr rr rr
areadiameter da, sieve diameterd, phi(Ф)unit, sphericitySc,Corey shape factor Sp,
rr r rr rr rr r r rr r r r r r rr rr
shape parameter Ssp, volume coefficient kv, and surface coefficient kc. Take the
rr rr rr rr rr rr rr rr rr rr rr rr
surface area of the ellipsoidal particle with a1, a2, and a3 being the longest, interme-
rr rr rr rr rr rr rr rr rr rr rr rr rr rr rr
diate, and shortest lengths as S = π{[(a1a2)q + (a2a3)q + (a1a3)q]/3}1/q with q =
rr rr rr rr rr rr rr rr
1.6.
r r
Solution
The volume V of an ellipsoidal sediment particle is
r rr rr rr rr rr rr r
π
V = a1a2a3 (S1.1)
6
r r r r
r
where a1, a2, and a3 are the longest, intermediate, and shortest lengths. With a1 =
rr rr rr rr rr rr rr rr rr rr rr rr rr rr
2 mm, a2 =1.5 mm, and a3 =0.8 mm,
rr rr rr r rr rr rr rr r rr
π
3
V = ×2 ×1.5 ×0.8 = 1.26 mm .
6
r r r r r rr r rr r rr rr rr r r
r r
The nominal diameter dn is rr rr rr rr
6V
r r r r
dn = rr
r r
1/3 ⇐Eq. (1.6) r rr
π
1/3
6 ×1.26
r r r r r r r r
r r
⇒ dn = = 1.34 mm.
rr r
π
rr r r rr rr
Note Figure, table, and equation numbers devoid of the letter ‘S’ refer to those in the companion
rr rr rr rr rr rr rr rr rr rr rr rr rr rr rr rr
book Dey (2024).
rr rr rr
© The Author(s), under exclusive license to Springer Nature Switzerland AG 2024
rr rr rr rr rr rr rr rr rr rr rr 1
S. Dey and S. Z. Ali, Fluvial Hydrodynamics - Solutions Manual, GeoPlanet: Earth and
rr rr rr rr rr rr rr rr rr rr rr rr rr
Planetary Sciences, https://doi.org/10.@
rr 100s7e/9
rr
is7m
8-3ic-0is3o1-l2a5ti7o3n7-7_1
@seismicisolation rr
