CE 3305 Engineering Fluid Mechanics
Spring 2024 Exam 4

LAST NAME, FIRST NAME

R00000000

Purpose :

Demonstrate ability to apply fluid mechanics and problem solving principles covering topics such as: Open channel flow; lift,drag, and fan laws; computational hydraulics (open channel)

Problem 1

Water (T =10$^𝑜$C) flows 1.5 m deep in a long rectangular concrete channel that is 3 m wide and is on a slope of 0.001.

Determine:

  1. The volumetric discharge of water in the channel

sketch(s) here

list known quantities

list unknown quantities

governing principles

solution (step-by-step)

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discussion

Problem 2

The canal shown below is to be widened so that the water flow discharge can be tripled (i.e., flow discharge after widening is three times the initial flow discharge).

Determine:

  1. The additional width, L, required if all other parameters (i.e., flow depth, bottom slope, surface material, side slope) are to remain the same

sketch(s) here

list known quantities

list unknown quantities

governing principles

solution (step-by-step)

In [3]:
# script (code) here

discussion

Problem 3:

The figure below is a schematic of water flowing under a sluice gate in a horizontal channel 5 feet wide.

The flow depths are $y_0 = 65~ft$ and $y_1=1~ft$.

Determine:

  1. Discharge through the sluice gate
  2. Power dissipated in the jump
  3. The alternate depth (depth of flow after the jump)

sketch(s) here

list known quantities

list unknown quantities

governing principles

solution (step-by-step)

In [4]:
# script (code) here

discussion

Problem 4

A windmill is connected directly to a mechanical pump (inertia-type) to lift water from a well that is 10 feet deep as depicted on Figure 5. The wind turbine is a conventional horizontal-axis type with a fan diameter of 10 feet. The efficiency of the mechanical pump is 80%. The pump discharges to atmospheric pressure as shown through 20 feet of 2-inch galvanized pipe.

For an air density $\rho_{air}=0.07~\frac{lbm}{ft^3}$ and a wind speed of 30 miles per hour

Determine:

  1. Well discharge in gallons per minute

sketch(s) here

list known quantities

list unknown quantities

governing principles

solution (step-by-step)

In [5]:
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discussion

Problem 5

Water flows at a steady rate of 192 $\frac{ft^3}{s}$ through a concrete-lined rectangular channel 16 ft wide as depicted in Figure 1. Water enters the 0.35% sloped channel ($S_0$ = 0.0035) at location 1 and is flowing at 110% normal depth ($1.1 \times y_n$). The water exits over a 3-foot tall weir (assume sharp-crest weir) at location 2.

Find:

  1. Normal depth for the channel.
  2. Critical depth for the channel.
  3. Pool depth just upstream of the weir. (Hint: Add the critical depth to the weir height as an approximation to the pool depth)
  4. Estimate the distance upstream from the weir to location 1

sketch(s) here

list known quantities

list unknown quantities

governing principles

solution (step-by-step)

In [6]:
# script (code) here

discussion