**Fluid Dynamics Problem Set**1. **Velocity of Flow:** The velocity of a flow is given as \( \mathbf{V} = -x^2 \mathbf{i} + (x + 2y) \mathbf{j} \), where \( \mathbf{V} \) is in ft/s and \( x \) and \( y \) are in ft. - **Volumetric Strain Rate:** What is the volumetric strain rate at \( x = 0, y = 0 \)? [Input answer here] - **Vorticity:** What is the vorticity at \( x = 0, y = 0 \)? [Input answer here]---2. **Air Flow in Pipe:** Air at 80° C and standard atmospheric pressure flows through a round pipe 40 cm in diameter at a speed of 9 m/s. - **Mass Flow Rate:** What is the mass flow rate of this air flow? [Input answer here] - **Specific Kinetic Energy:** What is the specific kinetic energy in this flow? [Input answer here]

Answered: Image /qna-images/answer/4a8a6e08-1219-4eca-a4b4-1f3fc2a14c26.jpg

The velocity of a flow is given as V=-x² i+ (x + 2y) j. where V is in ft/s and X and y are in ft. • What is the volumetric strain rate at X = 0, y = 0? What is the vorticity at X = 0, y = 0? Air at 80° C and standard atmospheric pressure flows through a round pipe 40 cm in diameter at a speed of 9 m/s. • What is the mass flow rate of this air flow?

The velocity of a flow is given as V=-x² i+ (x + 2y) j. where V is in ft/s and X and y are in ft. • What is the volumetric strain rate at X = 0, y = 0? What is the vorticity at X = 0, y = 0? Air at 80° C and standard atmospheric pressure flows through a round pipe 40 cm in diameter at a speed of 9 m/s. • What is the mass flow rate of this air flow?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

**Fluid Dynamics Problem Set**

1. **Velocity of Flow:**
The velocity of a flow is given as \( \mathbf{V} = -x^2 \mathbf{i} + (x + 2y) \mathbf{j} \), where \( \mathbf{V} \) is in ft/s and \( x \) and \( y \) are in ft.

- **Volumetric Strain Rate:**
What is the volumetric strain rate at \( x = 0, y = 0 \)?

[Input answer here]

- **Vorticity:**
What is the vorticity at \( x = 0, y = 0 \)?

[Input answer here]

---

2. **Air Flow in Pipe:**
Air at 80° C and standard atmospheric pressure flows through a round pipe 40 cm in diameter at a speed of 9 m/s.

- **Mass Flow Rate:**
What is the mass flow rate of this air flow?

[Input answer here]

- **Specific Kinetic Energy:**
What is the specific kinetic energy in this flow?

[Input answer here]

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