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CELE Hydraulics & Fluid MechanicsFlow in PipesSlides

Revision slides for CELE Hydraulics & Fluid Mechanics — Flow in Pipes. Structured for quick scanning, with one idea per slide and the key formulas called out clearly. Good for the final week before the CELE 2026 when you want to refresh the whole chapter in under an hour.

Exam context

For the Civil Engineer Licensure Examination, Professional Regulation Commission (PRC) — Board of Civil Engineering tests Hydraulics & Fluid Mechanics under a "Core" label, with Flow in Pipes in the 6th slot across 10 chapters. CELE candidates must clear the 70% weighted average, no sub-test below 50% cut on the 2026 paper, which draws about a meaningful share of Hydraulics & Fluid Mechanics questions. Date to watch: May and November 2026.

Flow in Pipes - Slides

Slides

Chapter Overview: Flow in Pipes

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S1

Reynolds Number and Flow Regime Classification

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S2

Worked Example 1: Reynolds Number and Flow Regime

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S3

Major Loss: Darcy-Weisbach Equation

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S4

Worked Example 2: Friction Head Loss Calculation

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S5

Minor Losses: Fittings, Bends, and Transitions

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S6

Worked Example 3: Total Minor Loss in a Piping System

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S7

Manning Equation for Pipe Flow (Alternative Formula)

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S8

Hazen-Williams Equation for Water Distribution

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S9

Series Piping: Same Discharge, Head Losses Add

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S10

Worked Example 4: Series Pipe System Analysis

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S11

Parallel Piping: Same Head Loss, Discharges Add

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S12

Worked Example 5: Parallel Pipe System Analysis

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S13

Network Analysis: Hardy Cross Method Overview

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S14

Sudden Expansion and Contraction Losses

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S15

Worked Example 6: Sudden Expansion Loss

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S16

Moody Chart and Friction Factor Selection

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S17

Pipe Sizing Design: Balancing Economics and Hydraulics

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S18

Common Exam Pitfalls and Troubleshooting

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S19

Summary: Key Formulas and When to Use Them

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S20

Practice Problems and PRC Exam-Style Questions

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S21

Real-World Applications in Philippine Hydraulic Design

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S22

Chapter Review: Learning Objectives Achieved

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S23

References and Further Reading

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S24

Stored In

chapter_slides

Slide Count

24

Summary Only

true

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