5.11 Result of subcritical flow analysis 511 Plan: Plan 01 11/9/2006 s ome river creek 465 Legend EG PF 1 460 WS PF 1 Crit PF 1 Elevation (ft) 455 Ground 450 445 440 435 430 0 1000 2000 3000 4000 5000 Main Channel Dis tance (ft) Figure1. Water surface profile from subcritical analysis Table 1. River Sta Q Total Min Ch El W.S. Elev Crit W.S. E.G. Elev E.G. Slope Vel Chnl Froude # Chl (cfs) (ft) (ft) (ft) (ft) (ft/ft) (ft/s) 6000 10000 450.2 463.24 459.99 463.63 0.001286 6.65 0.34 4000 10000 448.2 458.38 457.99 459.81 0.00587 11.76 0.7 3000 10000 442.2 454.29 451.99 454.85 0.002012 7.86 0.42 1500 10000 439.4 449.19 449.19 450.97 0.007486 12.89 0.79 1000 10000 433.4 443.2 443.2 444.97 0.007421 12.85 0.78 Comment The profile shows that the flow condition between 0 and 500 ft is critical flow. HEC-RAS does not find water surface elevation for subcritical flow given a channel geometry and slope and flow rate (HEC-RAS sets water surface to critical depth by default if the solution is not converged). This implies that this slope is hydraulically steep slope. All other reach sections are expected to be hydraulically mild since flow is subcritical. This is verified by mixed flow analysis. Result of mixed flow analysis 511 Plan: Plan 01 11/9/2006 s ome river creek 465 Legend EG PF 1 460 Crit PF 1 WS PF 1 Elevation (ft) 455 Ground 450 445 440 435 430 0 1000 2000 3000 4000 5000 Main Channel Dis tance (ft) Figure 2. Water surface profile from mixed flow analysis Table 2. River Sta Q Total Min Ch El W.S. Elev Crit W.S. E.G. Elev E.G. Slope Vel Chnl Froude # Chl (cfs) (ft) (ft) (ft) (ft) (ft/ft) (ft/s) 6000 10000 450.2 463.24 459.99 463.63 0.001286 6.65 0.34 4000 10000 448.2 458.38 457.99 459.81 0.00587 11.76 0.7 3000 10000 442.2 454.29 451.99 454.85 0.002012 7.86 0.42 1500 10000 439.4 449.19 449.19 450.97 0.007486 12.89 0.79 1000 10000 433.4 442.5 443.2 445.2 0.011921 15.36 0.98 Comment In the mixed flow situation, both subcritical and supercritical conditions occur. HEC-RAS can simulate water surface profile for the mixed flow by performing both subcritical analysis from downstream to upstream and supercritical analysis from upstream to downstream. The result of this analysis clearly shows that the flow is a subcritical flow followed by supercritical flow. 5.13 River geometry was set up as follow 513 .05 Plan: Plan 01 11/9/2006 .035 .06 .03 10 Legend EG PF 1 WS PF 1 Crit PF 1 Ground Elevation (ft) 9 Bank Sta 8 7 6 0 20 40 60 80 100 120 Station (ft) River bank is defined at station 40 for left side bank and at station 80 for right side bank. Uniform flow with this geometry and slope 0.0008 are solved for flow in hydraulic design, uniform flow option, producing 279 cfs. Go back to HEC-RAS geometry (see geometry setting), and try subcritical flow, and supercritical flow. At this point, flow condition is not known. The boundary condition for subcritical flow analysis was set as follows Flow = 279 cfs Normal depth downstream = 0.0008 or Know WS downstream = 9.8 ft Either of downstream boundary condition produces the same result because of uniform flow at this section. The WS profile shown below indicates the uniform flow is subcritical flow. The hydraulic variables at downstream (station 0) are given in the table. The kinetic energy flux correction coefficient (alpha) is 1.33. Specific energy is sum of water depth (pressure head) and velocity head, 3.88 ft. This is given by energy grade elevation (9.88 ft) minus channel bottom elevation (6 ft) 513 Plan: Plan 01 11/13/2006 Roaring Creek main 10 Legend EG PF 1 WS PF 1 9 Crit PF 1 Elevation (ft) Ground 8 7 6 5 0 200 400 600 800 Main Channel Dis tance (ft) Figure. Water surface profile from Subcritical analysis 1000 Table. Hydraulic variables at station 0 (downstream) E.G. Elev (ft) Vel Head (ft) W.S. Elev (ft) Crit W.S. (ft) E.G. Slope (ft/ft) Q Total (cfs) Top Width (ft) Vel Total (ft/s) Max Chl Dpth (ft) Conv. Total (cfs) Length Wtd. (ft) Min Ch El (ft) Alpha Frctn Loss (ft) C & E Loss (ft) 9.88 0.08 9.8 7.76 0.000801 279 106.63 1.97 3.8 9860.8 100 6 1.34 0.08 0 Element Wt. n-Val. Reach Len. (ft) Flow Area (sq ft) Area (sq ft) Flow (cfs) Top Width (ft) Avg. Vel. (ft/s) Hydr. Depth (ft) Conv. (cfs) Wetted Per. (ft) Shear (lb/sq ft) Stream Power (lb/ft s) Cum Volume (acre-ft) Cum SA (acres) Left OB Channel Right OB 0.05 0.035 0.049 100 100 100 14.08 114.05 13.34 14.08 114.05 13.34 6.63 265.95 6.43 33.61 40 33.02 0.47 2.33 0.48 0.42 2.85 0.4 234.2 9399.4 227.1 33.63 42.17 33.04 0.02 0.14 0.02 0.01 0.32 0.01 0.32 2.62 0.31 0.77 0.92 0.76 Supercritical flow analysis was also tried using upstream boundary condition (normal depth slope = 0.0008). The water surface profile computed by HEC-RAS shows that critical flow, indicating no solution to the depth for supercritical flow. 513 Plan: Plan 01 11/13/2006 Roaring Creek main 8.5 Legend EG PF 1 8.0 WS PF 1 Crit PF 1 Elevation (ft) 7.5 Ground 7.0 6.5 6.0 5.5 5.0 0 200 400 600 Main Channel Dis tance (ft) Figure. Water surface profile from Subcritical analysis 800 1000