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CE 3305 Engineering Fluid Mechanics
Summer 2022 Exercise Set 14

LAST NAME, FIRST NAME

R00000000

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Purpose :

Modified Bernoulli’s Equation (Head Losses) in hydraulics systems

Assessment Criteria :

Completion, plausible solutions, use JupyterLab as a calculator.

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Problem 1.

Figure 1 depicts a reservoir draining through a valve used to control the flow rate. The head loss across the valve is $h_l = \frac{4V^2}{2g}$ , where V is the velocity in the pipe. The cross-sectional area of the pipe is 8 $cm^2$.

Figure 1: Reservoir draining through a valve and a pipe

The elevation of the water level in the reservoir above the pipe outlet is 9 m. Find the discharge in the pipe assuming all loss occurs in the valve (e.g. pipe loss is small compared to valve loss).; assume $\alpha = 1.0$ at all locations in the system.

# sketch here

# list known quantities

# list unknown quantities

# governing principles

# solution (step-by-step)

# discussion

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Problem 2.

Figure 2 is a schematic of a pump system that supplies water to a hydraulic component through a 15 cm diameter, 60 m length of pipe. The mean velocity in the pipe is 2 m/s, and the head loss in the pipe is 2 m. Determine the pressure drop in the horizontal pipe and the power required from the pump to overcome the head loss in the pipe.

Figure 2: Pumping from lower to higher elevation

# sketch here

# list known quantities

# list unknown quantities

# governing principles

# solution (step-by-step)

# discussion

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