Fluvial Hydrodynamics - Solutions Manual (GeoPlanet Earth and Planetary Sciences) 1st ed. 2024 Edition

ALL 11 CHAPTERS COVERED
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SOLUTIONS MANUAL
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,Contents




1 Introduction ....................................................................................................1
References ......................................................................................................25
2 Hydrodynamic Principles .............................................................................29
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References ......................................................................................................58
3 Turbulence in Open Channel Flows .............................................................. 59
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References ......................................................................................................85
4 Sediment Threshold ...................................................................................... 87
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References .................................................................................................... 116
5 Bedload Transport ...................................................................................... 119
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References .................................................................................................... 152
6 Suspended-Load Transport........................................................................ 155
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References .................................................................................................... 183
7 Total-Load Transport ................................................................................. 185
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References .................................................................................................... 211
8 Bedforms ..................................................................................................... 213
References .................................................................................................... 228
9 Fluvial Processes: Meandering and Braiding ............................................ 231
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References .................................................................................................... 244
10 Scour ............................................................................................................ 245
References .................................................................................................... 274
11 Dimensional Analysis and Similitude......................................................... 277
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References .................................................................................................... 286

Author Index ....................................................................................................... 287
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Subject Index ....................................................................................................... 291
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xv
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,About the Authors rr rr




Subhasish Dey is a hydraulician and an educator. He is internationally known for
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his research and is acclaimed for his contributions to developing theories and solu-
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tion methodologies for various problems in hydrodynamics and sediment transport. He
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currently holds the position of distinguished professor of Indian Institute of
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Technology Jodhpur.
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Dey’s areas of research interest include applied hydrodynamics, turbulence, and
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sediment transport, in which he has about 40 years of experience. He was conferred with
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theHans Albert Einstein Award from theAmerican Society of Civil Engineers in 2022.
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Sk Zeeshan Ali is a researcher and an academician. Currently, he is an assistant
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professor in the department of civil engineering at the Indian Institute of Technology
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Hyderabad, where he teaches fluid mechanics, hydraulic engineering, open-channel
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flow, and sediment transport.
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Ali contributes to the field of classical and applied hydrodynamics. He is one
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r of the leading collaborators of the first author of this book. His areas of research
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interest include boundary layer flows, turbulent flows, scaling laws of turbulence,
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fluvial hydraulics, sediment transport, and morphodynamic instabilities.
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xvii
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, Chapter 1 rr




Introduction




Problem 1.1 The longest, intermediate, and shortest lengths of an ellipsoidal sedi-
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ment particle are 2, 1.5, and 0.8 mm, respectively. Determine the nominal diameter dn,
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areadiameter da, sieve diameterd, phi(Ф)unit, sphericitySc,Corey shape factor Sp,
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shape parameter Ssp, volume coefficient kv, and surface coefficient kc. Take the
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surface area of the ellipsoidal particle with a1, a2, and a3 being the longest, interme-
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diate, and shortest lengths as S = π{[(a1a2)q + (a2a3)q + (a1a3)q]/3}1/q with q =
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1.6.
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Solution
The volume V of an ellipsoidal sediment particle is
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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 =
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2 mm, a2 =1.5 mm, and a3 =0.8 mm,
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π
3
V = ×2 ×1.5 ×0.8 = 1.26 mm .
6
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r r




The nominal diameter dn is rr rr rr rr




6V
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dn = rr
r r
1/3 ⇐Eq. (1.6) r rr




π
1/3
6 ×1.26
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⇒ dn = = 1.34 mm.
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π
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Note Figure, table, and equation numbers devoid of the letter ‘S’ refer to those in the companion
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book Dey (2024).
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© The Author(s), under exclusive license to Springer Nature Switzerland AG 2024
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S. Dey and S. Z. Ali, Fluvial Hydrodynamics - Solutions Manual, GeoPlanet: Earth and
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Planetary Sciences, https://doi.org/10.@
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