Water flows in a horizontal, rectangular channel initially 10 feet wide and 2 feet deep. The initial velocity is 6 ft/s. This flow encounters downstream a simultaneous downward step and constriction. No energy losses are associated with these changes in channel configuration. a. What is the specific discharge, q: i. Upstream (for w= 10 feet)? ii. Downstream (for w = 6 feet)? b. What specific energy, E, is associated with the flow as initially specified (at the upstream location)? c. What is the minimum energy needed to pass the full discharge at the downstream location? d. What is the height (Az) of the smallest downward step necessary for the upstream flow conditions to remain as specified?
Water flows in a horizontal, rectangular channel initially 10 feet wide and 2 feet deep. The initial velocity is 6 ft/s. This flow encounters downstream a simultaneous downward step and constriction. No energy losses are associated with these changes in channel configuration. a. What is the specific discharge, q: i. Upstream (for w= 10 feet)? ii. Downstream (for w = 6 feet)? b. What specific energy, E, is associated with the flow as initially specified (at the upstream location)? c. What is the minimum energy needed to pass the full discharge at the downstream location? d. What is the height (Az) of the smallest downward step necessary for the upstream flow conditions to remain as specified?
Chapter2: Loads On Structures
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Transcribed Image Text:Water flows in a horizontal, rectangular channel initially 10 feet wide and 2 feet deep. The initial
velocity is 6 ft/s. This flow encounters downstream a simultaneous downward step and
constriction. No energy losses are associated with these changes in channel configuration.
a. What is the specific discharge, q:
i. Upstream (for w= 10 feet)?
ii. Downstream (for w = 6 feet)?
b. What specific energy, E, is associated with the flow as initially specified (at the upstream
location)?
c. What is the minimum energy needed to pass the full discharge at the downstream
location?
d. What is the height (Az) of the smallest downward step necessary for the upstream flow
conditions to remain as specified?
Expert Solution
Step 1: Introduction and given data
At upstream,
Initial velocity, v = 6 ft/sec
Width, w1 =10ft
Deep, d1 =2ft
At downstream,
Width, w2 =6ft
To determine,
- The specific discharge at upstream and downstream
- Specific energy at the upstream location
- Minimum specific energy at the downstream location
- The at downstream for upstream condition not changing.
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