This cross-section shows steady incompressible flow in an open channel. Copy the figure, then add the EGL as a solid line, add the HGL as a dotted line, and indicate the vertical distance corresponding to the kinetic head. Ignore the dashed horizontal line. V Subcritical Sluice gate = (2²)"¹² Ye= Supercritical Hydraulic jump Subcritical
This cross-section shows steady incompressible flow in an open channel. Copy the figure, then add the EGL as a solid line, add the HGL as a dotted line, and indicate the vertical distance corresponding to the kinetic head. Ignore the dashed horizontal line. V Subcritical Sluice gate = (2²)"¹² Ye= Supercritical Hydraulic jump Subcritical
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![**Problem 7: EGL and HGL (III)**
This cross-section shows steady incompressible flow in an open channel. Copy the figure, then add the EGL as a solid line, add the HGL as a dotted line, and indicate the vertical distance corresponding to the kinetic head. Ignore the dashed horizontal line.
**Diagram Explanation:**
The image illustrates the flow of water in an open channel that is controlled by a sluice gate. The flow transitions from subcritical to supercritical and then back to subcritical, forming a hydraulic jump.
- **Subcritical Flow**: Shown on both sides of the sluice gate where water flows more slowly.
- **Sluice Gate**: A vertical structure controlling the flow, causing a change from subcritical to supercritical flow.
- **Supercritical Flow**: Occurs immediately after the sluice gate, depicted as a higher velocity, lower depth flow.
- **Hydraulic Jump**: A turbulent region where supercritical flow transitions back to subcritical flow, characterized by energy dissipation and increased depth.
In the image, the Ergun's depth \( y_c \) is given by the formula:
\[ y_c = \left( \frac{Q^2}{b^2g} \right)^{1/3} \]
- **Flow Direction**: Indicated by arrows, showing the flow from left to right.
- **Ignoring the Dashed Line**: Focus on the EGL (Energy Grade Line) as a solid line, HGL (Hydraulic Grade Line) as a dotted line, and denote the kinetic head.
This setup is crucial for understanding open channel flow dynamics, control with structures like sluice gates, and energy transformation through hydraulic jumps.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc837c159-281c-429a-9ec5-8a70fc5b4137%2F2c0e5e59-9b80-490e-ae0e-a087f4642a7b%2Fa1g6tz_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem 7: EGL and HGL (III)**
This cross-section shows steady incompressible flow in an open channel. Copy the figure, then add the EGL as a solid line, add the HGL as a dotted line, and indicate the vertical distance corresponding to the kinetic head. Ignore the dashed horizontal line.
**Diagram Explanation:**
The image illustrates the flow of water in an open channel that is controlled by a sluice gate. The flow transitions from subcritical to supercritical and then back to subcritical, forming a hydraulic jump.
- **Subcritical Flow**: Shown on both sides of the sluice gate where water flows more slowly.
- **Sluice Gate**: A vertical structure controlling the flow, causing a change from subcritical to supercritical flow.
- **Supercritical Flow**: Occurs immediately after the sluice gate, depicted as a higher velocity, lower depth flow.
- **Hydraulic Jump**: A turbulent region where supercritical flow transitions back to subcritical flow, characterized by energy dissipation and increased depth.
In the image, the Ergun's depth \( y_c \) is given by the formula:
\[ y_c = \left( \frac{Q^2}{b^2g} \right)^{1/3} \]
- **Flow Direction**: Indicated by arrows, showing the flow from left to right.
- **Ignoring the Dashed Line**: Focus on the EGL (Energy Grade Line) as a solid line, HGL (Hydraulic Grade Line) as a dotted line, and denote the kinetic head.
This setup is crucial for understanding open channel flow dynamics, control with structures like sluice gates, and energy transformation through hydraulic jumps.
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