Virginia Tech Department of Civil and Environmental Engineering CEE 4324/5984 – Open Channel Flow Homework #3: Due September 29, 2011 In all problems give your reasoning and show your work – not just a final answer. Make sure you answer all parts of all questions. Be careful of units and significant figures. Problem #1: Given a rectangular channel with q = 10, 20, and 30 ft 2 /s. Let the momentum function ( M rectangle ) in a rectangular channel be defined by: 2 2 2 rectangle y gy q M (1) a. Calculate the momentum function over a range of depths, y , from 0 to 8 feet. Make a plot with M rectangle on the horizontal axis and y on the vertical axis. To make the graph easily viewable, please limit the horizontal axis so it covers only 0 ≤ M ≤ 30 ft 2 . Please be sure to label your axes and clearly indicate the q value for each of the three curves. b. The momentum function( M ) in a trapezoidal channel is defined by: b my y gA Q M 3 2 6 2 2 trapezoid (2)
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René Descartes, Cartesian product, Right angle, horizontal axis