If the incoming Nitrogen is at a pressure of 25 psi and temperature of 20°C, and wish to flow 1200ft³/hr. of Nitrogen through a smooth black carbon steel pipe; what diameter of pipe should I use if I want fully developed laminar flow and a pressure of 1 psi at the exit of the pipe, 300 ft. away?
If the incoming Nitrogen is at a pressure of 25 psi and temperature of 20°C, and wish to flow 1200ft³/hr. of Nitrogen through a smooth black carbon steel pipe; what diameter of pipe should I use if I want fully developed laminar flow and a pressure of 1 psi at the exit of the pipe, 300 ft. away?
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**Problem Statement:**
Given:
- Incoming Nitrogen Pressure: 25 psi
- Temperature: 20°C
- Nitrogen Flow Rate: 1200 ft³/hr
- Pipe: Smooth black carbon steel
- Desired Exit Pressure: 1 psi
- Pipe Length: 300 ft
Task:
Determine the diameter of the pipe necessary to achieve fully developed laminar flow.
**Explanation:**
The goal is to calculate the necessary diameter of a pipe to ensure the desired flow conditions of nitrogen, specifically fully developed laminar flow, over a distance of 300 feet, while maintaining a pressure drop from 25 psi to 1 psi. The solution involves fluid dynamics principles, considering parameters such as flow rate, pressure, and pipe characteristics.
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