A 1 m diameter concrete pipe carries a flow of 1.2 m3/s on a slope of 0.01.  Manning’s n is 0.012.  Find the depth of flow. ( Using Minning equations

A trapezoidal channel is 6.0m wide and has side slope of 0.5 H: 1 V. If the bed slope of the channel is 0.0004 and the Manning's n=0.02, find the discharge which can make the channel a hydraulically efficient section.

3. A rectangular channel (1.4 m wide) is shown on the right. Water flows down the incline with the prescribed velocity equation. i. Determine the average velocity. Calculate the volumetric flow rate. ii. 1m Flow Streamline- Piezometric tubes are tapped into a pipe section as shown in the figure below. The liquid is incompressible and flowing at a volumetric flowrate of 0.35 m³ s¹1. The piezometric head is 1 m at the upstream location (1) and 0.5 m at the throat (2). The pipe diameter at the upstream location (1) is 0.5 m. Answer the following: 0.5m Water 30° Y (a) Find the velocity in the upstream section. (b) Find the velocity in the throat section. (c) Find the diameter in the throat section. Vertical depth = 1 m Datum u=p3 m/s Hint: the piezometric head is the sum of the elevation and pressure heads. (d) Based on your findings in (a) and (b), qualitatively describe how pressure and velocity are related along the streamline.

Consider the simple pipe network below. Pipe AB and CF are both 500m long withdiameters of 0.8m and friction factors of 0.015. Branch 1 is 200m long, 0.5m in diameter with a frictionfactor of 0.02. Branch 2 is 300m long, 0.6m in diameter with a friction factor of 0.012. The designdischarge through pipe AB is 3m 3 /s. Determine the following: a) the equivalent pipe length, Leq, of asingle equivalent pipe with a diameter of 1m and friction factor of 0.02, that represents the entire pipenetwork from A to F, b) determine the total head loss from A to F. Ignore minor losses. (Hint: need touse method of equivalent pipes for both series and parallel)