Problem 1 (20 points) A discharge of 1.8 m/s is carried in a canal with the...
A discharge of 1.8 m/s is carried in a canal with the cross section shown below. The canal is 1400 m long and drops 0.5 m in elevation over the distance. Manning's n for the channel is estimated to be 0.020. Given w = 3.0 h. What is the value of w (in m) for this channel?
Q2) A canal of trapezoidal section has bed width of 8 m and bed slope of 1 in 4000. If the depth of flow is 2.4 m and side slopes of the chamel are 1 horizontal to 3 vertical, determine the average flow velocity and the discharge carried by the channel. Also compute the average shear stress at the channel boundary. Take value of Chezy's constant = 55. Q3) 6.11. A power canal of trapezoidal section has to be excavated...
Problem 6 (20 points) A 1-m wide rectangular channel carries a discharge of 2.1 m'/s. A hydraulic jump is formed in the channel, after which the depth of flow is found to be 2.1 m. (a) Determine the depth yi and the Froude number F, before the jump. (b) Find the critical depth ye (c) Determine the power dissipated within the jump.
2. A stream is flowing bankfull at 1 m deep, 25 m wide and losing 80 cm of head over one kilometer. The bed material is 0.5 mm uniform sand. The channel has a sinuosity of 1.5 dense grassy bank, and rectangular geometry. Estimate the following: a. Shear velocity, u., in m/s y=1.31x156 m²/s b. Laminar sublayer thickness, 8, at 10° C in mm C. Grain Reynolds number, Re., at 10°C d. Boundary shear stress, t, in Pa e. Shields...
Problem # 2 A discharge of 4800 m/s occurs in an approximately rectangular channel with a depth of 10 m and a width of 50 m. The channel slopes at a rate of 1/2000. The bed consists of fine sand (ds- 0.177 mm) and medium sand (ds-0.354 mm). Use the Shields diagram to determine whether these sizes will remain stationary or be transported. Assuming that the width and the slope do not change with the discharge, determine the discharge that...
An aqueduct is an open water channel on top of a support bridge. The bridge maintains a shallow slope to use gravity to carry water (p = 1000 kg/m”, u = 10-3 Pa.s) over long distances from a reservoir to a community. The aqueduct shown below has a rectangular cross section, as shown in section A-A, with width W = 1.2 m. The water level in the duct is a constant d = 1 m over the entire length of...
Problem 5: Discharge Integral II Consider steady flow in a stream d=0.50 m deep and w = 3,0 m 0.50 m deep and w = 3.0 m wide ("into the page"): Part A Part B The velocity distribution is u = Umw(1-h2/d2), where m shown in the following table: "), where Umax = 0.20 m/s. A few sample values are = 0.20 m/s. A few sam h [m] u [m/s] 0 0.20 0.25 0.15 (a) on the figure, sketch the...
Problem V(15); The temperature at the following nodal points of the symmetrical section (right side of sketch) of a flow channel ( left side of sketch)under steady state are shown on sketch (right side bottom). The inner surface of channel is at a uniform temperature of 600 K and its outer surface is exposed to a fluid at 300 K with h=50 W/m^2/K i) Determine the temperature at nodes 2,4, and 7 ii) Determine the heat rate per unit length...
A 4-m high dam with a slope of 8:1 ?V) has been proposed to ensure steady water levels in a rectangular channel with a width of 5 m, a bottom slope of 0.2%, a Manning's n of 0.02, and discharge rate of 10 m3/s as shown below. proposed aim So-0.002 1. (15 points) Sketch out the gradually varied flow profiles for the water surface around the proposed dam by hand a. Determine the critical depth for the channel b. Estimate...
Problem 3 (20 points) A cross-flow heat exchanger consists of a bundle of 32 tubes in a long duct. Hot water at 150°C and a mean velocity of 0.5 m/s enters the tubes having inner and outer diameters of 10.2mm and 12.5mm and has to be cooled to 136°C. The tubes are made of steel of thermal conductivity k-40 W/m.K. Air at 10°c enters the exchanger (unfinned) with a volumetric flow rate of 1.0 m3/s. The convective heat transfer coefficient...