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A two-dimensional square channel redirects a water flow from horizontal uniform to vertical nonuniform. The pipe width h=75.5 mm. The pressure is 185 kPa (abs) at the inlet and at atmospheric pressure at the exit with Vmax=2Vmin. The mass of the pipe is M=2.05 kg. The internal volume of the pipe is V=0.00355 m³. a. Find Vmin if U=7.5 m/s b. Calculate the force exerted by the pipe assembly on the supply

A two-dimensional square channel redirects a water flow from horizontal uniform to vertical nonuniform. The pipe width h=75.5 mm. The pressure is 185 kPa (abs) at the inlet and at atmospheric pressure at the exit with Vmax=2Vmin. The mass of the pipe is M=2.05 kg. The internal volume of the pipe is V=0.00355 m³. a. Find Vmin if U=7.5 m/s b. Calculate the force exerted by the pipe assembly on the supply

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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### Problem Statement A two-dimensional square channel redirects a water flow from horizontal uniform to vertical nonuniform. The specifications are as follows: - **Pipe width**: \( h = 75.5 \, \text{mm} \) - **Pressure at the inlet**: \( 185 \, \text{kPa (abs)} \) - **Exit pressure**: Atmospheric - **Velocities**: \( v_{\text{max}} = 2v_{\text{min}} \) - **Mass of the pipe**: \( M = 2.05 \, \text{kg} \) - **Internal volume of the pipe**: \( V = 0.00355 \, \text{m}^3 \) ### Tasks a. **Find** \( v_{\text{min}} \) **if** \( U = 7.5 \, \text{m/s} \) b. **Calculate the force exerted by the pipe assembly on the supply.** ### Diagram Explanation The diagram represents a square channel with two sections: - A horizontal section where the fluid enters with velocity \( U \). - A vertical section where the velocity varies nonuniformly from \( v_{\text{max}} \) to \( v_{\text{min}} \). The transition from horizontal to vertical indicates a change in flow dynamics, specifically altering from a uniform flow to a nonuniform one. --- This problem involves using principles from fluid mechanics, such as continuity and Bernoulli's equation, to determine the unknown velocity and force exerted by the pipe.
Transcribed Image Text:### Problem Statement A two-dimensional square channel redirects a water flow from horizontal uniform to vertical nonuniform. The specifications are as follows: - **Pipe width**: \( h = 75.5 \, \text{mm} \) - **Pressure at the inlet**: \( 185 \, \text{kPa (abs)} \) - **Exit pressure**: Atmospheric - **Velocities**: \( v_{\text{max}} = 2v_{\text{min}} \) - **Mass of the pipe**: \( M = 2.05 \, \text{kg} \) - **Internal volume of the pipe**: \( V = 0.00355 \, \text{m}^3 \) ### Tasks a. **Find** \( v_{\text{min}} \) **if** \( U = 7.5 \, \text{m/s} \) b. **Calculate the force exerted by the pipe assembly on the supply.** ### Diagram Explanation The diagram represents a square channel with two sections: - A horizontal section where the fluid enters with velocity \( U \). - A vertical section where the velocity varies nonuniformly from \( v_{\text{max}} \) to \( v_{\text{min}} \). The transition from horizontal to vertical indicates a change in flow dynamics, specifically altering from a uniform flow to a nonuniform one. --- This problem involves using principles from fluid mechanics, such as continuity and Bernoulli's equation, to determine the unknown velocity and force exerted by the pipe.
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