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A homework assignment for the cive 401 course focusing on hydraulics. Students are required to solve various problems related to volumetric flow rate, froude number, critical slope, critical depth, critical velocity, specific energy diagram, and flow depth. Problems involve channels with circular, triangular, and rectangular geometries, and involve calculating specific energy, critical values, and flow depths.
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CIVE 401 Homework Assignment 2 Due Monday 9 February 2009
Work and turn in the following problems in Cruise et al (2007) (problem in bold is a candidate for grading): 12.1, 12.9, 12.13 , 12.15, and 12.16. Also, work and turn in the following problems (problems 4 and 5 are candidates for grading):
(1) An asphalt-lined channel ( n = 0.016) has a circular cross section with diameter 70 cm. The channel is flowing half full with a velocity of 4 m/s. What is the volumetric flow rate, the Froude number, and the critical slope? (2) A canal with triangular geometry and side slopes 0.70:1 is lined with clay tile ( n = 0.014) and carries 8 m^3 /s. Find the critical depth, critical velocity, and critical slope for this canal. (3) A rectangular channel carries a flow per unit width of 2.5 m^2 /s. Plot the specific energy diagram for this flow and find the two possible flow depths in this channel for a specific energy of 2 m. (4) A unit flow rate of 20 ft^2 /s occurs in a rectangular canal. A Pitot tube is placed in the stream, causing the water level in the tube to rise to a level of 5 ft above the channel bed. Find the two possible flow depths in the canal for this condition. (5) Water flows with a steady rate of 1.5 (m 3 /s)/m in a rectangular channel. The flow depth at cross section (1) is 0.4 m. The energy head loss between section (1) and a downstream section (2) is 0.15 m. Plot the specific energy curve and show the points corresponding to sections (1) and (2) on the curve. Is it possible to have a head loss of 0.25 m between the two sections for this flow rate? Explain.
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