An elbow is to be attached to a pressurized water tank ptank = 15 kPa (gauge). Water is to flow out of the elbow into the ambient, atmospheric environment. The inner diameter of the elbow is 2 cm. The loss coefficient of the elbow is K = 0.3. Neglect gravitational and entrance effects. Assume the elbow is massless. Use properties of water at 20°C. Tank Prank=15 kPa(gauge) Flange Tank walk (a) What is the flow rate out of the elbow? (b) Treating the elbow as a tube, what is the Reynolds number? Is the flow laminar or turbulent? (c) What horizontal force on the flange, F, is required to secure the elbow to the tank while the fluid is flowing?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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### Elbow Attached to a Pressurized Water Tank

#### Problem Description
An elbow is attached to a pressurized water tank with a gauge pressure \( p_{\text{tank}} = 15 \, \text{kPa} \). Water flows from the elbow into the ambient atmospheric environment. The elbow has an inner diameter of 2 cm, and its loss coefficient \( K_L = 0.3 \). Gravitational and entrance effects are neglected. Assume the elbow is massless, and use the properties of water at 20°C.

#### Diagram Explanation
- **Diagram Description**: 
  - The diagram shows an elbow attached to a tank.
  - Arrows indicate the direction of fluid flow and the horizontal force \( F \), required on the flange.
  - Labels mark the tank, tank wall, flange, and pressure.

#### Questions
(a) What is the flow rate out of the elbow?

(b) Treating the elbow as a tube, what is the Reynolds number? Is the flow laminar or turbulent?

(c) What horizontal force on the flange, \( F \), is required to secure the elbow to the tank while the fluid is flowing?

#### Considerations
- Use fluid mechanics principles to determine flow rate and Reynolds number.
- Determine the force \( F \) needed using principles from fluid dynamics and mechanics.
Transcribed Image Text:### Elbow Attached to a Pressurized Water Tank #### Problem Description An elbow is attached to a pressurized water tank with a gauge pressure \( p_{\text{tank}} = 15 \, \text{kPa} \). Water flows from the elbow into the ambient atmospheric environment. The elbow has an inner diameter of 2 cm, and its loss coefficient \( K_L = 0.3 \). Gravitational and entrance effects are neglected. Assume the elbow is massless, and use the properties of water at 20°C. #### Diagram Explanation - **Diagram Description**: - The diagram shows an elbow attached to a tank. - Arrows indicate the direction of fluid flow and the horizontal force \( F \), required on the flange. - Labels mark the tank, tank wall, flange, and pressure. #### Questions (a) What is the flow rate out of the elbow? (b) Treating the elbow as a tube, what is the Reynolds number? Is the flow laminar or turbulent? (c) What horizontal force on the flange, \( F \), is required to secure the elbow to the tank while the fluid is flowing? #### Considerations - Use fluid mechanics principles to determine flow rate and Reynolds number. - Determine the force \( F \) needed using principles from fluid dynamics and mechanics.
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