GIVEN A sluice gate across a channel of width b is shown in the closed and open positions in Figs. E5.9a and E5.9b. FIND Is the anchoring force required to hold the gate in place larger when the gate is closed or when it is open?
GIVEN A sluice gate across a channel of width b is shown in the closed and open positions in Figs. E5.9a and E5.9b. FIND Is the anchoring force required to hold the gate in place larger when the gate is closed or when it is open?
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:**Figure E5.9 Explanation**
This figure illustrates the concept of control volumes in fluid mechanics with respect to a sluice gate scenario. It is divided into four parts (a), (b), (c), and (d) that depict different states and analyses of water flow.
- **(a) Closed Sluice Gate:**
- Shows a control volume around a body of water with a height \( H \), confined by a closed sluice gate on the right side.
- The control volume is a designated area for analyzing the fluid dynamics of the contained water, with no flow occurring due to the closed gate.
- **(b) Open Sluice Gate:**
- Depicts the scenario when the sluice gate is open.
- Water flows under the gate, decreasing in height to \( h \) as it exits.
- The figure includes a coordinate system showing the flow direction along the x-axis with velocity \( u \).
- **(c) Control Volume Analysis (Closed Gate):**
- Visualizes the forces and energy in the control volume when the gate is closed.
- Shows water only influence within the control volume, with certain forces like \( \frac{1}{2} \gamma H Hb \) accounted for, where \( \gamma \) is the specific weight and \( b \) is the width.
- **(d) Control Volume Analysis (Open Gate):**
- Analyzes the control volume when the gate is open and water flows through.
- Illustrates sections (1) and (2) indicating the entry and exit points of the flow, with velocities \( u_1 \) and \( u_2 \).
- Contains force components such as \( R_1 \), \( R_2 \), and flow force \( F_f \).
- The exiting water has a momentum given by \( \frac{1}{2} \gamma h hb \), reflecting the change in height and flow characteristics.
This figure provides insight into the behavior and analysis of fluid systems involving gates, focusing on the conservation of mass and energy within defined control volumes.
Transcribed Image Text:**GIVEN**
A sluice gate across a channel of width \( b \) is shown in the closed and open positions in Figs. E5.9a and E5.9b.
**FIND**
Is the anchoring force required to hold the gate in place larger when the gate is closed or when it is open?
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for #2 which is it that average velocity square? can you possibly draw on where this is happening or explain
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