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· in Engineering

Howard H. Chang San Diego State University

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A WILEY-INTERSCIENCE PUBLTCATION John Wiley & Sons New York Chicbester Brisbane Toronto Singapore CONTENTS

PARTI FLUVIAL

L Introduction 3 1.1 The Fluvial System l 3 1.2 Yariables for Alluvial l 4

2. Overview of 7 2. l Regime Concept l 7 2.2 -Forming l 8 2.3 Longitudinal Profile l 8 2.4 River Classifications l lO 2. 5 Thresholds in River Morphology l 13 2.6 Hydraulic Geometry l 20 2. 7 Planform l 24 2.8 Geomorphic Analysis of River Channel Responses l 27

References for Part I 31

PART II FOUNDATIONS OF FLUVIAL PROCESSES 35

3. of Flow in River Channels 37 3 .l Shear-Stress Distribution l 38 3.2 Uniform-Flow Formulas l 39 3.3 Boundary-Layer Regions l 41 3.4 Turbulent Shear Flow in Channels l 43 3.5 Fixed-Bed Flow Resistance l 46 3.6 Flow Resistance in -Bed Rivers l 51 3.7 Composite Roughness and Side-Wall Corrections l 53 3.8 Energy Equation and Water-Surface Profiles l 56 3.9 Unsteady Open-Channel Flow l 59 References l 67

lx X CONTE NTS

4. Physical Properties of 70 4. l Size of Sediment Particles i 70 4.2 Shape Factor of Sediment Particles i 73 4.3 Fall Velocity l 73 4.4 Angle of Repose for l 77 References l 79

S. Scour Criteria and Scour-Related Problems 80 5.1 Criticai Shear l 80 5.2 Shields Diagram l 82 5.3 Other Scour Criteria Based on Shear Stress l 85 5.4 Criticai Shear on Side Slopes l 85 5.5 Permissible Velocity l 88 5. 6 Distribution of Boundary Shear in Trapezoidal Channels l 90 5. 7 Boundary Shear in Bends l 92 5.8 Design. of Stable Channels Subject to Scour But Not to l 93 5. 9 Local Scour around Bridge Piers l 96 5.10 Local Scour around Embankments l 100 References l 103

6. Alluvial Bed Forms and Flow Resistance 105 6.1 Bed Forms l 105 6.2 Prediction of Bed Forms l 110 6.3 Bed-Form Dimensions l 114 6.4 Effect of Water Temperature l 116 6.5 Stage-Discharge Predictors for Alluvial Channels l 118 References l 128

7. Sediment Movement in Rivers 131 7 .l Bed-Load Formulas l 13 3 7.2 Turbulent Diffusion and Diffusion Equation l 143 7.3 Suspended-Sediment Discharge l 146 7.4 Bed-Material Load Formulas l 154 7.5 Evaluation of Formulas l 163 7.6 Effect of Water Temperature l 166 7.7 Effect of Suspended Sediment on Flow Characteristics l 167 CONTENTS Xi

7.8 in Nonuniform Flow l 172 7. 9 Scdiment Sorting l 176 7 .l O Sampling Fluvial Sediment l 181 References l 185

8. Flow in Curved River Channels 190 8.1 Basic Equations l 190 8.2 Transverse Velocity Profiles for Fully Developed Flow l 193 8.3 Boundary Shear Stress l 197 8.4 Transverse Bed Slope and Grain-Size Distribution l 199 8.5 Latera! Bed-Load Transport l 206 8.6 Energy Expenditure in Curved Open Channels l 208 8.7 Streamwise Variation of Spirai Motion l 212 8.8 Computation of Flow through Curved Channels l 216 8. 9 Transverse Fio w and Cross-Stream Fio w in River Channels l 220 References l 222

PART III REGIME RIVERS AND RESPONSES 225

9. Analytical Basis for Hydraulic Geometry 227 9 .l Applicable Physical Relationships l 227 9.2 Physical Relationships Pertaining to Stable Width l 228

10. Design of Stable Alluvial Channels 233 10.1 Regime Methods for Stable Alluvial Design l 234 10.2 Rational Metbod for Stable Alluvial Canal Design l 241 10.3 Design of Stable Alluvial in a System l 250 10.4 Maturing of Canals l 253 10.5 Hydraulic Geometry of Gravel-Bed l 254

11. Analytical River Morphology 261 11.1 Analys!s of River l 26 2 11.2 Power Approach to River Morphology and Thresholds l 271 11 .3 Channel Geometry, Channel Patterns, and Thresholds l 277 11.4 River Channel Changes: Adjustments of Equilibrium l 283 11.5 Formation of Alternate Bars l 290 Xii CONTENTS

12. Pian Geometry and Proccsses of River Meanders 298 12. l Sine-Generated Curve l 299 12.2 Meandcr Path Based on Streamwise Variation of Helical Motion l 300 12.3 Processes Goveming Mcander Bend Migration l 309 12.4 On the Cause of River Meandering l 312

References for Part III 316

PART IV MODELING OF RIVER CHANNEL CHANGES 323

13. Mathematical Model for Erodible Channels 325 13 .l Physical Foundation of Auvial Process-Response l 326 13.2 Channel W idth Adjustments during Scour and Fili l 327 13.3 Analytical Basis of the FLUVlAL Mode! l 330 13.4 Water Routing l 331 13.5 Sediment Routing l 333 13.6 Simulation of Changes in Channel Width l 336 13.7 Simulation of Changes in Channei-Bed Profile l 338 13.8 Simulation of Changes Due to Curvature Effect l 339 13.9 Test and Calibration of Mathematical Mode! l 340

14. Computer-Aided Study of Alluvial Rivers 342 14.1 Generai Scour at Bridge Crossings l 342 14.2 Graduai Breach Morphology l 352 14.3 Stream Channel Changes lnduced by and Grave! Mining l 358 14.4 Tidal Responses of River and Delta System l 364 1.4.5 Water and Sediment Routing through a Curved Channel l 371 14.6 Fluvial Design of River Protection l 377 14.7 Stream Gaging of Fluvial Sediment l 384

References for Par t IV 391 CONTENTS Xiii

PART V RIVER ENG I ~EERI~G 393

lS. River Training 395 15 . 1 Bank Protection l 396 15.2 Dikes l 403 15 .3 Grade-Control Structures l 407 References l 411

APPENDIX: SOME COMMONLY USED TABLES 413

NAME INDEX 417 SUBJECT INDEX 423