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At a sudden enlargement of a pipe,from a diameter of 300 to 600mm the hydraulic gradient was found to rise by 20 mm deter mine flow rate in pipe using Bernoulli equation?
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At a sudden enlargement of a pipe,from a diameter of 300 to 600mm the ...
Flow Rate Calculation in a Pipe Enlargement
Given Data:
- Initial diameter of the pipe (D1) = 300 mm
- Final diameter of the pipe (D2) = 600 mm
- Rise in hydraulic gradient = 20 mm
Using Bernoulli's Equation:
The Bernoulli's equation can be used to determine the flow rate in the pipe. The equation is given as:
\[ P1/ρg + V1^2/2g + Z1 = P2/ρg + V2^2/2g + Z2 \]
where:
- P = pressure
- ρ = density of fluid
- g = acceleration due to gravity
- V = velocity of fluid
- Z = height of fluid above a reference plane
Assumptions:
- The fluid is incompressible
- There is no energy loss in the pipe due to friction
Calculations:
- Initial cross-sectional area (A1) = π*(D1/2)^2
- Final cross-sectional area (A2) = π*(D2/2)^2
- Velocity of fluid at initial point (V1) = Q/A1
- Velocity of fluid at final point (V2) = Q/A2
Substitute the values and solve for flow rate (Q):
\[ P1/ρg + V1^2/2g + Z1 = P2/ρg + V2^2/2g + Z2 \]
\[ P1/ρg + Q^2/(2ρA1^2) + Z1 = P2/ρg + Q^2/(2ρA2^2) + Z2 \]
By rearranging the equation and solving for Q, the flow rate in the pipe can be determined.
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At a sudden enlargement of a pipe,from a diameter of 300 to 600mm the hydraulic gradient was found to rise by 20 mm deter mine flow rate in pipe using Bernoulli equation?
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At a sudden enlargement of a pipe,from a diameter of 300 to 600mm the hydraulic gradient was found to rise by 20 mm deter mine flow rate in pipe using Bernoulli equation? 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 At a sudden enlargement of a pipe,from a diameter of 300 to 600mm the hydraulic gradient was found to rise by 20 mm deter mine flow rate in pipe using Bernoulli equation? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for At a sudden enlargement of a pipe,from a diameter of 300 to 600mm the hydraulic gradient was found to rise by 20 mm deter mine flow rate in pipe using Bernoulli equation?.
At a sudden enlargement of a pipe,from a diameter of 300 to 600mm the hydraulic gradient was found to rise by 20 mm deter mine flow rate in pipe using Bernoulli equation? 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 At a sudden enlargement of a pipe,from a diameter of 300 to 600mm the hydraulic gradient was found to rise by 20 mm deter mine flow rate in pipe using Bernoulli equation? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for At a sudden enlargement of a pipe,from a diameter of 300 to 600mm the hydraulic gradient was found to rise by 20 mm deter mine flow rate in pipe using Bernoulli equation?.
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