Civil Engineering (CE) Exam > Civil Engineering (CE) Questions > A channel of bed slope 0.0009 carries a disch...
Start Learning for Free
A channel of bed slope 0.0009 carries a discharge 300m3/s when the depth of flow is 1 m. What is the discharge carried by an exactly similar channel at the same depth of flow if slope is increased to 0.0001 ?
Most Upvoted Answer
A channel of bed slope 0.0009 carries a discharge 300m3/s when the dep...
- **Given Data:**
- Bed slope of the channel, S₁ = 0.0009
- Discharge of the channel, Q₁ = 300 m³/s
- Depth of flow, y₁ = 1 m
- **Calculation for the new discharge:**
- Using the Chezy formula, Q = A * V = A * C * √(R * S), where:
- Q = Discharge
- A = Cross-sectional area of flow
- V = Velocity of flow
- C = Chezy coefficient
- R = Hydraulic radius
- S = Bed slope
- Since the channels are exactly similar:
- Cross-sectional area, A ∝ y * b
- Hydraulic radius, R = A / P ∝ y * b / 2y = b / 2
- Velocity, V ∝ √(R * S)
- Therefore, the new discharge Q₂ can be expressed as:
- Q₂ = A₂ * C * √(R * S₂)
- Q₂ = k * b * y * C * √(b / 2 * S₂), where k is a constant
- Given Q₁ = Q₂ when y = 1 m and S₁ = 0.0009, we can solve for k:
- 300 = k * 1 * b * C * √(b / 2 * 0.0009)
- k = 300 / (b * C * √(b / 2 * 0.0009))
- Substituting k back into the equation for Q₂:
- Q₂ = (300 / (b * C * √(b / 2 * 0.0009))) * b * 1 * C * √(b / 2 * 0.0001)
- Q₂ = 300 * √(0.0001 / 0.0009)
- Q₂ = 100 m³/s
- **Conclusion:**
- The discharge carried by an exactly similar channel at the same depth of flow, but with an increased slope of 0.0001, will be 100 m³/s.
Attention Civil Engineering (CE) Students!
To make sure you are not studying endlessly, EduRev has designed Civil Engineering (CE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Civil Engineering (CE).
|
Explore Courses for Civil Engineering (CE) exam
|
|
Similar Civil Engineering (CE) Doubts
Top Courses for Civil Engineering (CE)View all
A channel of bed slope 0.0009 carries a discharge 300m3/s when the depth of flow is 1 m. What is the discharge carried by an exactly similar channel at the same depth of flow if slope is increased to 0.0001 ?
Question Description
A channel of bed slope 0.0009 carries a discharge 300m3/s when the depth of flow is 1 m. What is the discharge carried by an exactly similar channel at the same depth of flow if slope is increased to 0.0001 ? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A channel of bed slope 0.0009 carries a discharge 300m3/s when the depth of flow is 1 m. What is the discharge carried by an exactly similar channel at the same depth of flow if slope is increased to 0.0001 ? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A channel of bed slope 0.0009 carries a discharge 300m3/s when the depth of flow is 1 m. What is the discharge carried by an exactly similar channel at the same depth of flow if slope is increased to 0.0001 ?.
A channel of bed slope 0.0009 carries a discharge 300m3/s when the depth of flow is 1 m. What is the discharge carried by an exactly similar channel at the same depth of flow if slope is increased to 0.0001 ? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A channel of bed slope 0.0009 carries a discharge 300m3/s when the depth of flow is 1 m. What is the discharge carried by an exactly similar channel at the same depth of flow if slope is increased to 0.0001 ? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A channel of bed slope 0.0009 carries a discharge 300m3/s when the depth of flow is 1 m. What is the discharge carried by an exactly similar channel at the same depth of flow if slope is increased to 0.0001 ?.
Solutions for A channel of bed slope 0.0009 carries a discharge 300m3/s when the depth of flow is 1 m. What is the discharge carried by an exactly similar channel at the same depth of flow if slope is increased to 0.0001 ? in English & in Hindi are available as part of our courses for Civil Engineering (CE).
Download more important topics, notes, lectures and mock test series for Civil Engineering (CE) Exam by signing up for free.
Here you can find the meaning of A channel of bed slope 0.0009 carries a discharge 300m3/s when the depth of flow is 1 m. What is the discharge carried by an exactly similar channel at the same depth of flow if slope is increased to 0.0001 ? defined & explained in the simplest way possible. Besides giving the explanation of
A channel of bed slope 0.0009 carries a discharge 300m3/s when the depth of flow is 1 m. What is the discharge carried by an exactly similar channel at the same depth of flow if slope is increased to 0.0001 ?, a detailed solution for A channel of bed slope 0.0009 carries a discharge 300m3/s when the depth of flow is 1 m. What is the discharge carried by an exactly similar channel at the same depth of flow if slope is increased to 0.0001 ? has been provided alongside types of A channel of bed slope 0.0009 carries a discharge 300m3/s when the depth of flow is 1 m. What is the discharge carried by an exactly similar channel at the same depth of flow if slope is increased to 0.0001 ? theory, EduRev gives you an
ample number of questions to practice A channel of bed slope 0.0009 carries a discharge 300m3/s when the depth of flow is 1 m. What is the discharge carried by an exactly similar channel at the same depth of flow if slope is increased to 0.0001 ? tests, examples and also practice Civil Engineering (CE) tests.
|
|
Explore Courses for Civil Engineering (CE) exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup