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<br /> I <br /> J <br /> LIST OF FIGURES I <br />FIGURE DESCRIPTION PAGE I <br />1.1.1 Geometric properties of bridge crossings. 1-3 <br />1.2.1 Comparison of the 1884 and 1968 Mississippi 1-5 I <br /> River Channel near Commerce, Missouri. <br />1.2.2 Sinuosity versus slope with constant discharge. 1-10 I <br />2.2.1 A river reach as a control volume. 11-5 I <br />2.2.2 The control volume for conservation of 11-7 <br /> linear momentum. I <br />2.2.3 The streamtube as a control volume. lI-l0 <br />2.2.4 Pressure distribution in steady uniform 11-15 I <br /> and in steady nonuniform flow. <br />2.2.5 Pressure distribution in steady uniform 11-16 . <br /> flow on steep slopes. <br />2.3.l Steady uniform flow in a unit width channel. 11-17 I <br />2.3.2 Hydraulically smooth boundary. 11-19 <br />2.3.3 Hydraulically rough boundary. 11-20 I <br />2.3.4 Velocities in turbulent flow. 11-20 <br />2.3.5 Einstein's multiplication factor X in the II - 24 I <br /> logarithmic velocity equations. <br />2.3.6 Control volume for steady uniform flow. 11-30 I <br />2.3.7 Energy and momentum coefficients for a unit 11-33 <br /> width of river. I <br />2.3.8 The river cross-section. <br />11-33 <br />2.4.1 Definition sketch for small amplitude waves. 11-36 I <br />2.4.2 Sketch of positive and negative surges. 11-39 <br /> I <br />2.4.3 Hydraulic jump characteristics as a function 11-40 <br /> of the upstream Froude number. ~ <br /> xiv <br /> I <br />