Patm = 10^5, P(water) = 1000 kg/m^3 ; Pair = 1.2 kg/m^3 ; g = 9.8m/s^2gage 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

We know from the figure that; Qi = 0.1m3/s; D1= 0.6m; D2 = 0.2 m

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

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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Concept explainers

Applied Fluid Mechanics

A fluid is a substance that is continuously deformed by the application of shear stress. The rate of deformation of a fluid depends on its viscosity. The fluid tries to flow when it interacts with some other system.

Question

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

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