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A subcritical transition from an upstream rectangular flume that is 49 $ft$ wide to a downstream trapezoidal channel with a width of 75 $ft$ and side slopes of 2:1. The transition bottom drops 1 $ft$ from the upstream flume to the downstream trapezoidal channel. The steady discharge is 12,600 $cfs$ and the depth of flow in the downstream channel is 22 $ft$. For a head loss coefficient of 0.5
Determine:
# sketch(s) here
# list known quantities
# list unknown quantities
# governing principles
# solution (step-by-step/computations)
# discussion
A circular culvert with 1.0 $m$ diameter is placed on a steep slope. The upstream head is 1.3 $m$ with an unsubmerged entrance. Neglect entrance losses and
Determine:
# sketch(s) here
# list known quantities
# list unknown quantities
# governing principles
# solution (step-by-step/computations)
# discussion
A 1.0 $m$ by 1.0 $m$ box culvert is placed on a steep slope. The upstream head is 1.3 $m$ with an unsubmerged entrance. Neglect entrance losses and
Determine:
# sketch(s) here
# list known quantities
# list unknown quantities
# governing principles
# solution (step-by-step/computations)
# discussion
A study of natural channel shapes in the western United States reported an average ratio of maximum depth to hydraulic depth ($D=\frac{A}{T}$) in the main channel (with no overflow) of $\frac{y}{D} = 1.55$ for 761 measurements.
Determine:
# sketch(s) here
# list known quantities
# list unknown quantities
# governing principles
# solution (step-by-step/computations)
# discussion
Prepare a function (within a JupyterLab Notebook) to compute head-discharge relationships for a rectangular, sharp-crested weir, and another function to compute head-discharge relationship for a 90$^o$ V-notch sharp-crested weir.
Incorporate your functions into a supervisory script (a main program) and apply to a situation where the weir is placed in a 5 $ft$ wide channel with the weir crests are 1 $ft$ above the channel bottom.
Determine:
# sketch(s) here
# list known quantities
# list unknown quantities
# governing principles
# solution (step-by-step/computations)
# discussion