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Bernoulli. Water enters the horizontal converging channel shown at Q = 0.1m³/s (D₁ = 0.6m; D₂ = 0.2m). Static pressure taps in section 1 and section 2 are both open at the top and fill with water. A bleed valve, BV, can be opened to reduce the flow in section 2. Compute the Ah between the static tap manometers for the following cases: (a) BV is closed, Qav = 0; (b) BV is open and removes 40% of the flow. If the static tap in section 2 is replaced by a pitot tube, what is Ah when (c) BV is closed; (d) BV is open and 20% of the flow is removed? Ans OM: (a) 10¹ m; (b) 10¹¹ m; (c) 10³ m; (d) 10³ m Ish Jaw JON 2

Bernoulli. Water enters the horizontal converging channel shown at Q = 0.1m³/s (D₁ = 0.6m; D₂ = 0.2m). Static pressure taps in section 1 and section 2 are both open at the top and fill with water. A bleed valve, BV, can be opened to reduce the flow in section 2. Compute the Ah between the static tap manometers for the following cases: (a) BV is closed, Qav = 0; (b) BV is open and removes 40% of the flow. If the static tap in section 2 is replaced by a pitot tube, what is Ah when (c) BV is closed; (d) BV is open and 20% of the flow is removed? Ans OM: (a) 10¹ m; (b) 10¹¹ m; (c) 10³ m; (d) 10³ m Ish Jaw JON 2

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
Problem 1.1MA
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Patm = 10^5, P(water) = 1000 kg/m^3 ; Pair = 1.2 kg/m^3 ; g = 9.8m/s^2
gage pressure Pg = P - Patm

**Bernoulli’s Principle in a Converging Channel** Water enters a horizontal converging channel with a flow rate of \( Q = 0.1 \, \text{m}^3/\text{s} \). The diameters of sections 1 and 2 are \( D_1 = 0.6 \, \text{m} \) and \( D_2 = 0.2 \, \text{m} \), respectively. Static pressure taps in sections 1 and 2 are open at the top and filled with water, allowing for pressure measurements. **Objective:** Determine the pressure difference, \( \Delta h \), between the static tap manometers for the following scenarios: 1. **Case a:** Bleed Valve (BV) is closed, \( Q_{BV} = 0 \). 2. **Case b:** BV is open and removes 40% of the flow. 3. **Case c:** If the static tap in section 2 is replaced by a pitot tube, determine \( \Delta h \) when BV is closed. 4. **Case d:** BV is open and 20% of the flow is removed. **Analysis of Diagrams:** The diagrams illustrate two sections of a converging channel: - **Left Diagram**: Indicates a setup with a static tap showing the pressure head difference \( \Delta h \) when no flow is removed by the BV. - **Right Diagram**: Similar setup, but indicates configurations when a portion of flow is removed via the BV, altering the pressure head. The setup helps visualize how flow alterations affect pressure, in accordance with Bernoulli's principle. **Observations:** - **Parameters**: - **Section 1**: Larger diameter, which reduces velocity and increases static pressure. - **Section 2**: Smaller diameter, resulting in increased velocity and decreased static pressure. - **Effects of BV**: - Opening BV changes the flow dynamics, affecting the \( \Delta h \) readings between the taps. **Answered Calculations**: - \( \Delta h \) for different scenarios is provided as a rough estimation: - **(a), (b)**: \(10^1 \, \text{m}\) - **(c)**: \(10^3 \, \text{m}\) - **(d)**: \(10^3
Transcribed Image Text:**Bernoulli’s Principle in a Converging Channel** Water enters a horizontal converging channel with a flow rate of \( Q = 0.1 \, \text{m}^3/\text{s} \). The diameters of sections 1 and 2 are \( D_1 = 0.6 \, \text{m} \) and \( D_2 = 0.2 \, \text{m} \), respectively. Static pressure taps in sections 1 and 2 are open at the top and filled with water, allowing for pressure measurements. **Objective:** Determine the pressure difference, \( \Delta h \), between the static tap manometers for the following scenarios: 1. **Case a:** Bleed Valve (BV) is closed, \( Q_{BV} = 0 \). 2. **Case b:** BV is open and removes 40% of the flow. 3. **Case c:** If the static tap in section 2 is replaced by a pitot tube, determine \( \Delta h \) when BV is closed. 4. **Case d:** BV is open and 20% of the flow is removed. **Analysis of Diagrams:** The diagrams illustrate two sections of a converging channel: - **Left Diagram**: Indicates a setup with a static tap showing the pressure head difference \( \Delta h \) when no flow is removed by the BV. - **Right Diagram**: Similar setup, but indicates configurations when a portion of flow is removed via the BV, altering the pressure head. The setup helps visualize how flow alterations affect pressure, in accordance with Bernoulli's principle. **Observations:** - **Parameters**: - **Section 1**: Larger diameter, which reduces velocity and increases static pressure. - **Section 2**: Smaller diameter, resulting in increased velocity and decreased static pressure. - **Effects of BV**: - Opening BV changes the flow dynamics, affecting the \( \Delta h \) readings between the taps. **Answered Calculations**: - \( \Delta h \) for different scenarios is provided as a rough estimation: - **(a), (b)**: \(10^1 \, \text{m}\) - **(c)**: \(10^3 \, \text{m}\) - **(d)**: \(10^3
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