In the figure below, what should be the reservoir level h to maintain a floe of 0.01 m³/s through the commercial stee annulus 30 m long? Neglect entrance effects and take density 1000 kg/m³ and kinematic viscosity 1.02x10-6 m²/s for water. Hint: use hydraulic diameter D₁ = 2(a-b). Water O 5.32 m O 2.15 m O 3.71 m O 1.69 m h = ? a = 5 cm b=3 cm L = 30 m Q, V

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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In the figure below, what should be the reservoir level \( h \) to maintain a flow of 0.01 m\(^3\)/s through the commercial steel annulus 30 m long? Neglect entrance effects and take density 1000 kg/m\(^3\) and kinematic viscosity \( 1.02 \times 10^{-6} \, \text{m}^2/\text{s} \) for water. Hint: use hydraulic diameter \( D_h = 2(a-b) \).

Diagram Explanation:

1. There is a reservoir containing water on the left side. The height from the water surface to the bottom of the outlet pipe is marked as \( h \), which is the unknown we need to find.
   
2. A pipe connects the reservoir to the right side, where water flows out. This pipe is shown as a horizontal gray cylinder.
   
3. The pipe is labeled with:
   - \( a = 5 \, \text{cm} \) (outer diameter)
   - \( b = 3 \, \text{cm} \) (inner diameter)
   - \( L = 30 \, \text{m} \) (length of the pipe)
   
4. Water flows through with flow rate \( Q \) and velocity \( V \).

Multiple Choice Answers:
- 5.32 m
- 2.15 m
- 3.71 m
- 1.69 m

The task is to determine the appropriate value for \( h \) from the given options.
Transcribed Image Text:In the figure below, what should be the reservoir level \( h \) to maintain a flow of 0.01 m\(^3\)/s through the commercial steel annulus 30 m long? Neglect entrance effects and take density 1000 kg/m\(^3\) and kinematic viscosity \( 1.02 \times 10^{-6} \, \text{m}^2/\text{s} \) for water. Hint: use hydraulic diameter \( D_h = 2(a-b) \). Diagram Explanation: 1. There is a reservoir containing water on the left side. The height from the water surface to the bottom of the outlet pipe is marked as \( h \), which is the unknown we need to find. 2. A pipe connects the reservoir to the right side, where water flows out. This pipe is shown as a horizontal gray cylinder. 3. The pipe is labeled with: - \( a = 5 \, \text{cm} \) (outer diameter) - \( b = 3 \, \text{cm} \) (inner diameter) - \( L = 30 \, \text{m} \) (length of the pipe) 4. Water flows through with flow rate \( Q \) and velocity \( V \). Multiple Choice Answers: - 5.32 m - 2.15 m - 3.71 m - 1.69 m The task is to determine the appropriate value for \( h \) from the given options.
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