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3. A rectangular channel (1.4 m wide) is shown on the right. Water flows down the incline with the prescribed velocity equation. i. Determine the average velocity. Calculate the volumetric flow rate. ii. Im Streamline 0.5 m Water 30° 9 Piezometric tubes are tapped into a pipe section as shown in the figure below. The liquid is incompressible and flowing at a volumetric flowrate of 0.35 m³ s¹. The piezometric head is 1 m at the upstream location (1) and 0.5 m at the throat (2). The pipe diameter at the upstream location (1) is 0.5 m. Answer the following: Vertical depth = 1 m Datum u= m/s

3. A rectangular channel (1.4 m wide) is shown on the right. Water flows down the incline with the prescribed velocity equation. i. Determine the average velocity. Calculate the volumetric flow rate. ii. Im Streamline 0.5 m Water 30° 9 Piezometric tubes are tapped into a pipe section as shown in the figure below. The liquid is incompressible and flowing at a volumetric flowrate of 0.35 m³ s¹. The piezometric head is 1 m at the upstream location (1) and 0.5 m at the throat (2). The pipe diameter at the upstream location (1) is 0.5 m. Answer the following: Vertical depth = 1 m Datum u= m/s

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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**3. Rectangular Channel Flow** A rectangular channel with a width of 1.4 meters is illustrated. Water flows down the incline with the specified velocity equation \( u = k \, y^{1/3} \, \text{m/s} \), where \( k = 1.13 \). The vertical depth is 1 meter, and the channel is inclined at an angle of 30°. Tasks: i. Determine the average velocity of the water flow. ii. Calculate the volumetric flow rate. **4. Piezometric Tubes and Pipe Section** This section involves piezometric tubes connected to a pipe, as shown in the figure. An incompressible liquid flows at a volumetric flow rate of 0.35 cubic meters per second. The piezometric head is 1 meter at the upstream location (1) and 0.5 meters at the throat (2). The upstream pipe diameter is 0.5 meters. Tasks: (a) Calculate the velocity at the upstream section. (b) Determine the velocity in the throat section. (c) Find the diameter in the throat section. (d) Analyze how pressure and velocity are related along the streamline. **Diagram Analysis:** - The diagram depicts a streamlined pipe with tapered sections, showing piezometric tubes indicating pressure head at two locations. - Streamlines within the pipe illustrate fluid motion, demonstrating areas of differing velocities and pressures. - The datum line is marked along the bottom for reference. **Key Concepts:** - The piezometric head represents the sum of elevation and pressure heads, crucial for understanding fluid dynamics within the system. - Velocity and pressure changes correspond to the pipe's geometric alterations, affecting flow characteristics and behavior.
Transcribed Image Text:**3. Rectangular Channel Flow** A rectangular channel with a width of 1.4 meters is illustrated. Water flows down the incline with the specified velocity equation \( u = k \, y^{1/3} \, \text{m/s} \), where \( k = 1.13 \). The vertical depth is 1 meter, and the channel is inclined at an angle of 30°. Tasks: i. Determine the average velocity of the water flow. ii. Calculate the volumetric flow rate. **4. Piezometric Tubes and Pipe Section** This section involves piezometric tubes connected to a pipe, as shown in the figure. An incompressible liquid flows at a volumetric flow rate of 0.35 cubic meters per second. The piezometric head is 1 meter at the upstream location (1) and 0.5 meters at the throat (2). The upstream pipe diameter is 0.5 meters. Tasks: (a) Calculate the velocity at the upstream section. (b) Determine the velocity in the throat section. (c) Find the diameter in the throat section. (d) Analyze how pressure and velocity are related along the streamline. **Diagram Analysis:** - The diagram depicts a streamlined pipe with tapered sections, showing piezometric tubes indicating pressure head at two locations. - Streamlines within the pipe illustrate fluid motion, demonstrating areas of differing velocities and pressures. - The datum line is marked along the bottom for reference. **Key Concepts:** - The piezometric head represents the sum of elevation and pressure heads, crucial for understanding fluid dynamics within the system. - Velocity and pressure changes correspond to the pipe's geometric alterations, affecting flow characteristics and behavior.
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