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The pipe flow in the figure shown below is driven by pressurized air in the tank. What gage pressure p1 is needed to provide a 20°C water flow rate Q= 60 m3/h? The total length of the pipe, which includes the vertical section measuring 80 m, is 220 m. For water at 20°C, take p = 998 kg/m and u= 0.001 kg/m-s. Take fsmooth = 0.0136. Smooth pipe: d = 5 cm Open jet P1 10 m The required gauge pressure is Pa.

The pipe flow in the figure shown below is driven by pressurized air in the tank. What gage pressure p1 is needed to provide a 20°C water flow rate Q= 60 m3/h? The total length of the pipe, which includes the vertical section measuring 80 m, is 220 m. For water at 20°C, take p = 998 kg/m and u= 0.001 kg/m-s. Take fsmooth = 0.0136. Smooth pipe: d = 5 cm Open jet P1 10 m The required gauge pressure is Pa.

Elements Of Electromagnetics
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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### Problem Statement The pipe flow in the figure shown below is driven by pressurized air in the tank. What gauge pressure \( p_1 \) is needed to provide a 20°C water flow rate of \( Q = 60 \, \text{m}^3/\text{h} \)? The total length of the pipe, which includes the vertical section measuring 80 m, is 220 m. For water at 20°C, use the following: - Density \( \rho = 998 \, \text{kg/m}^3 \) - Dynamic viscosity \( \mu = 0.001 \, \text{kg/m} \cdot \text{s} \) - Friction factor \( f_{\text{smooth}} \approx 0.0136 \) The required gauge pressure is \( \_\_\_\_\_ \, \text{Pa} \). ### Diagram Explanation The diagram includes the following elements: - **Tank with Pressurized Air**: The tank is partially filled with water (height of water column is 10 m) and pressurized air above it, exerting pressure \( p_1 \). - **Smooth Pipe**: The pipe is smooth with a diameter \( d = 5 \, \text{cm} \) (0.05 m) and connects to the tank at the bottom. - **Vertical Section**: The pipe includes a vertical section as a part of the total length. - **Open Jet**: The end of the pipe is an open jet releasing water at the specified flow rate \( Q \). The diagram helps illustrate the setup needed for calculating the gauge pressure required to maintain the specified flow rate through the system.
Transcribed Image Text:### Problem Statement The pipe flow in the figure shown below is driven by pressurized air in the tank. What gauge pressure \( p_1 \) is needed to provide a 20°C water flow rate of \( Q = 60 \, \text{m}^3/\text{h} \)? The total length of the pipe, which includes the vertical section measuring 80 m, is 220 m. For water at 20°C, use the following: - Density \( \rho = 998 \, \text{kg/m}^3 \) - Dynamic viscosity \( \mu = 0.001 \, \text{kg/m} \cdot \text{s} \) - Friction factor \( f_{\text{smooth}} \approx 0.0136 \) The required gauge pressure is \( \_\_\_\_\_ \, \text{Pa} \). ### Diagram Explanation The diagram includes the following elements: - **Tank with Pressurized Air**: The tank is partially filled with water (height of water column is 10 m) and pressurized air above it, exerting pressure \( p_1 \). - **Smooth Pipe**: The pipe is smooth with a diameter \( d = 5 \, \text{cm} \) (0.05 m) and connects to the tank at the bottom. - **Vertical Section**: The pipe includes a vertical section as a part of the total length. - **Open Jet**: The end of the pipe is an open jet releasing water at the specified flow rate \( Q \). The diagram helps illustrate the setup needed for calculating the gauge pressure required to maintain the specified flow rate through the system.
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