1.9 The volume flow rate through a pipe is given by Q = vA, where v is the average velocity and A is the cross-sectional area. Use volume-continuity to solve for the required area in pipe 3. Qrin = 40 m/s Q2,out = 20 m³/s V3,out = 6 m/s Az = ?
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- A sluice gate, as shown in figure 01, is used to control the upstream water level in a3 m wide rectangular channeL The water discharge in the channel is 15 m3/s. You given the water depth at 3 to be 2.5 m and the hydraulic jump Froude number equationConsider the one-dimensional open channel flow shown in Figure P10.8. (a) Using the continuity principle and Bernoulli’s equation, show that where F is the local Froude number. (b) Discuss the implications of this result for subcritical flow everywhere, supercritical flow everywhere, and for F = 1 at station 2.Section of a culvert is shown in the figure, compute the moment of inertia about the horizontal x-axis
- (Question: 4: A well with a storage coefficient of 0.05 m/s has a slope define by rise = 3 and run = 4. Find the velocity of flow using Darcy’s equation.)The soil porosity in the area where the 46-cm diameter well in Question#4 is 48%, find the discharge of the groundwater.Determine the head loss in the "smooth" pipe in meters if its friction factor is 0.014. a.12.9517 b.39.5136 c.30.4889 d.99.9358 What gage pressure p1 in kPa, is needed to provide the given flow rate? a.1692 kPa b.1121 kPa c.1328 kPa d.1725 kPaQ1(b) Water flows through a pipe with a diameter of 2 m. Stagnation and static pressures measured by pitot tube are 0.3 m and 0.25 m of water, respectively. Calculate the velocity of flow
- Consider a rectangular channel of width b=7.5 m, in which the hydraulic jump occurs and one of its stays is equal to 45 cm. A flow rate Q=54 m3/s passes through the channel. Determine: a) the other conjugate tie rod b) energy losses c) type of jump that occurs d) jump length1. A rectangular channel has a contraction that smoothly changes the width to a minimum width of 1.5 f t (the throat). If the flow is critical at the throat, find the volume flow rate when the depth at the throat is 1.5 f t. 2. Water in an open channel of constant width flows over a bump of height 1 f t, as shown in Figure P10.10. What is the depth of the water Y2? Assume uniform flow of constant width with no losses.The flow through a rectangular channel (width in x and height in z) is nonuniform with a velocity profile of V(z) = mz+b. The velocity at the floor of the channel is V(z=0) and the velocity at the top of the channel is V(z=Z). a) Develop an expression for flow rate and average velocity using the given constants. If the channel is 5m wide in x and 3m tall in z and V(z=0) = 0 m/s and V(z=3m) = 6 m/s: b) Determine the value of the constants m and b in the velocity profile c) Determine the value of the flowrate and average velocity of water in the channel.