Question: Free surface Bottom Wetted perimeter, P 0800 1 Figure 1: Trapezoidal cross-section of an open-cha…
Show transcribed image text Free surface Bottom Wetted perimeter, P 0800 1 Figure 1: Trapezoidal cross-section of an open-channel When water flows through a trapezoidal channel with normal depth. yo and the inclined angle of the channel,8, shown as in Fig. 1, the cross sectional area of the fluid (A) and the flow rate (0) are related by Manning's equation as: 0-2,R,«S: where R= Where n is Manning's roughness coefficient, P cross-section in contact with the fluid), R is the wetted perimeter (length of channel is the Hydraulic radius and S is the slope of the channel. Find using secant method the length of the base, b, given the flow rate. -115 ms, S-0.0016 and -0.025. Use initial value of 4m and 10m. The relative error should be less than 0.001 20 marks
Free surface Bottom Wetted perimeter, P 0800 1 Figure 1: Trapezoidal cross-section of an open-channel When water flows through a trapezoidal channel with normal depth. yo and the inclined angle of the channel,8, shown as in Fig. 1, the cross sectional area of the fluid (A) and the flow rate (0) are related by Manning's equation as: 0-2,R,«S: where R= Where n is Manning's roughness coefficient, P cross-section in contact with the fluid), R is the wetted perimeter (length of channel is the Hydraulic radius and S is the slope of the channel. Find using secant method the length of the base, b, given the flow rate. -115 ms, S-0.0016 and -0.025. Use initial value of 4m and 10m. The relative error should be less than 0.001 20 marks
