Phase VII · FE Civil Academy
Fluid Mechanics
The physics of water at rest and in motion through civil systems.
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Practical scenario
A pump must deliver 2.0 cfs through 1,200 ft of 8-inch ductile iron pipe with a 60 ft static lift. Find the required pump head.
Why this matters
Pressure pipe systems, pumps and flow measurement appear in both fluid mechanics and water resources content.
Concept explanation
- Fluid statics: pressure increases linearly with depth, p = γh.
- Continuity conserves mass: A₁V₁ = A₂V₂ for incompressible steady flow.
- The energy equation tracks pressure, elevation and velocity head plus losses and pump head.
- Friction loss depends on relative roughness and Reynolds number through the friction factor.
Unit guidance
- Write units on every substituted value.
- Cancel units symbolically before evaluating numbers.
- Confirm the result unit matches the quantity you were asked for.
Handbook navigation
- Open the Fluid Mechanics section of the handbook.
- Search the term "fluid properties" rather than scrolling.
- Note the equation number so you can return to it quickly.
Calculator guidance
- Confirm angle mode before any trig entry.
- Store intermediate values in memory instead of re-keying rounded numbers.
- Round only at the final answer.
FE strategy
- Write the energy equation between two points where two of the three head terms are known or zero.
- Check Re to confirm turbulent flow before using a turbulent friction factor.
Conceptual example
A conceptual fluid mechanics item will ask which quantity increases, decreases, or stays the same when one input changes. Reason from the governing relationship, not from memory of a numeric answer.
Common mistakes
- Using pipe diameter in inches inside V = Q/A without converting to feet.
- Omitting minor losses when the problem lists fittings.
- Forgetting the efficiency term in pump power.
Guided practice
- Work the first worked example with the solution visible.
- Re-solve it closed-book and compare every step.
- Explain the unit cancellation out loud.
Independent practice
- Complete a 10-question Fluid Mechanics quiz in practice mode.
- Classify every miss by error category.
- Re-test the missed subtopic within 48 hours.
Summary
- Everything in head (feet) keeps the energy equation clean.
- Q = AV always.
- Friction loss scales with V².
Capstone application: Pressure pipe and pump sizing in the water resources design library.