ou’ve sent your assistant out to measure the flow properties of a frictionless rectangular flat channel. Your assistant returns with measurements for the depth (d2 = 1.4 m), the specific discharge (q2 = 10.0 m2/s), and (somehow) the height of the energy grade line at 4.0 meters all at the downstream cross section. They haven’t done a spectacular job leaving you to solve for d1, q1, V1, and V2. There are two potential answers for d1 and V1.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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You’ve sent your assistant out to measure the flow properties of a frictionless
rectangular flat channel. Your assistant returns with measurements for the depth (d2 =
1.4 m), the specific discharge (q2 = 10.0 m2/s), and (somehow) the height of the energy
grade line at 4.0 meters all at the downstream cross section. They haven’t done a
spectacular job leaving you to solve for d1, q1, V1, and V2. There are two potential
answers for d1 and V1.

Expert Solution
Step 1: Given data

Given -

At the downstream cross-section (subscript 2):

  • Depth, d subscript 2 equals 1.4
  • Specific discharge, q subscript 2 equals 10.0 space bevelled m squared over s
  • Height of the energy grade line, E subscript 2 equals 4.0 space m

To find-

d subscript 1 equals ?
V subscript 1 equals ?
q subscript 1 equals ?
V subscript 2 equals ?

steps

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