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CELE Hydraulics & Fluid MechanicsHydrology and Water SupplyMemory Anchors

Memory anchors and mnemonic tricks for Hydrology and Water Supply. If you find yourself forgetting key facts from this chapter during CELE mocks, these anchors are your fix. Built for Professional Regulation Commission (PRC) — Board of Civil Engineering's question style and the time pressure of the CELE 2026.

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 Hydrology and Water Supply in the 10th 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.

Hydrology and Water Supply - Memory Anchors

Memory techniques can increase recall by up to 400% compared to rote reading alone. The human brain naturally stores vivid stories, emotional images, and bizarre associations far better than dry formulas. This collection of mnemonics, analogies, micro-stories, and visual anchors is engineered specifically for Filipino CE board reviewees — translating the abstract equations of hydrology and water supply into unforgettable mental images. Each anchor is a 'hook' that pulls the correct formula or concept out of long-term memory the moment the board exam question appears on screen. Work through these anchors actively — say them aloud, sketch the images, and quiz yourself using the recall triggers. The goal: every key concept in this chapter becomes as automatic as your name.

Anchors

Tags

  • formula
  • rational method
  • peak runoff
  • SI units

Topic

Rational Method

Concept

The Rational Method formula: Q = CiA/360 (SI units: i in mm/hr, A in ha, Q in m³/s)

Anchor Id

A1

Difficulty

medium

Memory Aid

Remember 'CIA works at 360' — like a CIA agent who only operates at 360 degrees of awareness. Q is the result of CIA's operation divided by 360. C = runoff Coefficient (the spy's disguise factor), i = intensity (how hard it rains, the spy's speed), A = Area (the territory). The agency number is always 360. Never forget: CIA/360 = Q.

Anchor Type

mnemonic

Why It Works

The CIA acronym maps perfectly to the three variables C, i, A. The number 360 is memorable because it suggests a full circle — the entire catchment contributing. Spy humor makes it emotionally engaging.

Example Usage

Board question gives C=0.6, i=50 mm/hr, A=20 ha. You think 'CIA at 360': Q = 0.6×50×20/360 = 1.67 m³/s.

Recall Trigger

Think: 'CIA agent at 360 degrees' — immediately write Q = CiA/360.

Tags

  • definition
  • classification
  • runoff coefficient
  • imperviousness

Topic

Runoff Coefficient

Concept

Runoff coefficient C increases with imperviousness (lawns ≈ 0.1–0.2, pavement ≈ 0.90–0.95)

Anchor Id

A2

Difficulty

easy

Memory Aid

Imagine a freshly waxed car hood (pavement, C≈0.95) versus a thick bath towel (lawn, C≈0.15). Rain hitting the car hood instantly runs off — nearly everything becomes runoff. Rain hitting the towel gets absorbed immediately — very little runs off. The shinier and harder the surface, the higher the C. Concrete BGYO districts of Manila (Binondo, Quiapo) flood fast because C is near 1.0; Baguio pine forests soak rain in because C is near 0.1.

Anchor Type

analogy

Why It Works

The car-hood vs towel image is tactile and visual. The Manila/Baguio contrast uses Filipino geographic knowledge to anchor the extremes of the C scale.

Example Usage

If the board shows a downtown urban catchment, immediately flag C ≈ 0.85–0.95. If it shows a forested watershed, use C ≈ 0.10–0.25.

Recall Trigger

Waxed car hood = pavement = C near 1.0; Bath towel = lawn = C near 0.1.

Tags

  • formula
  • unit conversion
  • rational method
  • derivation

Topic

Rational Method — Unit Conversion

Concept

The 360 conversion factor origin: converting mm/hr × ha to m³/s

Anchor Id

A3

Difficulty

hard

Memory Aid

Engineer Rafa needs to submit Q in m³/s but his boss gave him i in mm/hr and A in hectares. He converts: 1 mm/hr × 1 ha = (0.001 m/hr) × (10,000 m²) = 10 m³/hr = 10/3600 m³/s = 1/360 m³/s. Rafa shouts: 'The units give me 1/360 naturally!' So he just divides CiA by 360. He named this his '360 Rule' and never got it wrong again.

Anchor Type

micro_story

Why It Works

Walking through the unit conversion as a narrative anchors the mathematical reason for 360, not just the number itself. Understanding the derivation is more durable than memorizing a magic number.

Example Usage

If you ever doubt the 360 factor, re-derive it: 1 mm/hr × 1 ha = 10 m³/hr = 10/3600 m³/s ≈ 1/360. Confirmed.

Recall Trigger

Rafa's unit conversion: mm/hr × ha ÷ 360 = m³/s.

Tags

  • formula
  • runoff volume
  • precipitation

Topic

Runoff Volume

Concept

Runoff Volume formula: V = C × P × A

Anchor Id

A4

Difficulty

easy

Memory Aid

VIP gets wet in the rain — V (volume), I (intensity replaced by P for precipitation depth), P (precipitation), A (area). Actually: V = CPA. Think: 'The VIP (C-P-A) party got drenched!' C is the bouncer deciding how much rain gets IN, P is the rainfall depth (how heavy the party was), A is the venue size. Volume of water entering = bouncer's filter × rain depth × venue area.

Anchor Type

mnemonic

Why It Works

The VIP party analogy creates a vivid social scene. The bouncer = C (filters runoff), party size = A, rain = P. Social scenes are highly memorable.

Example Usage

Storm P=80 mm=0.08 m, A=5 km²=5×10⁶ m², C=0.4. V = 0.4 × 0.08 × 5×10⁶ = 160,000 m³.

Recall Trigger

VIP party drenched: V = C × P × A.

Tags

  • formula
  • water demand
  • population
  • per-capita

Topic

Water Supply — Demand

Concept

Average daily water demand = Population × Per-capita consumption (L/person/day)

Anchor Id

A5

Difficulty

easy

Memory Aid

Think of a sari-sari store owner (the water utility). Every morning she multiplies: number of customers (population) × what each customer buys daily (per-capita use). That total is her average daily sales (average daily demand). No mystery — it's just multiplication of how many people times how much each person needs.

Anchor Type

analogy

Why It Works

The sari-sari store is deeply familiar to Filipino students. It transforms an abstract utility-engineering concept into a relatable neighborhood business.

Example Usage

Population = 10,000; consumption = 150 L/person/day. Average demand = 10,000 × 150 = 1,500,000 L/day = 1,500 m³/day.

Recall Trigger

Sari-sari owner: customers × daily purchase = total demand.

Tags

  • formula
  • peak demand
  • max day
  • peak hour
  • classification

Topic

Water Supply — Peak Demands

Concept

Peak demand factors: Maximum day ≈ 1.5× average; Peak hour ≈ 2–3× average

Anchor Id

A6

Difficulty

medium

Memory Aid

Remember '1.5 for the Day, 2-3 for the Hour' using the phrase: 'One and a half day, double or triple hour.' Think of a fiesta (barrio fiesta) schedule: on the big day (max day), 1.5× the usual crowd shows up. During the peak hora (noon eating rush), 2 to 3× the usual crowd swarms the buffet. Fiesta Day = ×1.5; Fiesta Hour = ×2 to 3.

Anchor Type

mnemonic

Why It Works

Fiestas are a universal Filipino cultural event everyone has experienced. The crowd-surge imagery directly parallels peak demand. The time scale (day vs hour) maps to the familiar fiesta schedule.

Example Usage

Avg demand = 1,500 m³/day. Max day = 1.5 × 1,500 = 2,250 m³/day. Peak hour = 2.5 × 1,500/24 = 156.25 m³/hr.

Recall Trigger

Fiesta! Max-day crowd = 1.5×; Peak-hour buffet rush = 2–3×.

Tags

  • sequence
  • process
  • hydrologic cycle

Topic

Hydrologic Cycle

Concept

The Hydrologic Cycle — six major stages in order

Anchor Id

A7

Difficulty

easy

Memory Aid

Use the acronym: PISSET — Precipitation → Interception/Infiltration → Surface runoff → Streamflow → Evaporation/transpiration → back to (precipitation). Say it: 'PISSET is the cycle.' The word sounds like a Filipino exclamation which makes it stick. Each letter/stage: P=Precipitation, I=Infiltration, S=Surface runoff, S=Streamflow, E=Evaporation/transpiration, T=back to Top (repeat).

Anchor Type

acronym

Why It Works

The slightly irreverent sound of PISSET makes it emotionally memorable — a mild shock value effect. Shocking or funny mnemonics are retained longer than neutral ones.

Example Usage

Board asks about the hydrologic cycle. Think PISSET: Precipitation, Infiltration, Surface runoff, Streamflow, Evaporation/transpiration, repeat.

Recall Trigger

PISSET — the full hydrologic cycle in 6 steps.

Tags

  • definition
  • process
  • rational method
  • IDF
  • common mistake

Topic

Rational Method — Time of Concentration

Concept

Design intensity must be taken at the Time of Concentration (tc), not an arbitrary duration

Anchor Id

A8

Difficulty

medium

Memory Aid

Engineer Petra once used a 2-hour intensity for a catchment with tc = 30 minutes. Her drain overflowed and flooded the barangay hall. Her supervisor explained: 'The catchment only needs 30 minutes to fully contribute. Use the intensity at THAT exact duration — no more, no less.' Petra tattoed 'USE tc' on her drafting table. She never used the wrong duration again. The lesson: intensity at tc is the design intensity.

Anchor Type

micro_story

Why It Works

A story with a failure consequence is far more memorable than a rule statement. The emotional weight (flooded barangay hall, embarrassed engineer) burns the lesson in.

Example Usage

Board gives IDF curve and tc = 45 min. Read intensity at 45-min duration for that return period. Do not use 60-min or 30-min intensity.

Recall Trigger

Petra's flooded barangay hall — always use intensity at tc.

Tags

  • formula
  • composite
  • runoff coefficient
  • weighted average

Topic

Composite Runoff Coefficient

Concept

Composite runoff coefficient for mixed land use: C_composite = Σ(Ci × Ai) / ΣAi

Anchor Id

A9

Difficulty

medium

Memory Aid

Making halo-halo: each ingredient (pavement, lawn, rooftop) has its own sweetness level (runoff coefficient). The total sweetness of the glass is the weighted average of all ingredients by their proportion (area fraction). C_composite is the halo-halo sweetness — a weighted average by area. Big heaping of ube = high weight; tiny pinch of sugar = low weight.

Anchor Type

analogy

Why It Works

Halo-halo is quintessentially Filipino. Weighted averaging as a blending of ingredients is a natural concept. The analogy makes the formula intuitive.

Example Usage

40% pavement (C=0.9), 60% lawn (C=0.2): C_comp = (0.9×0.4 + 0.2×0.6)/(0.4+0.6) = (0.36+0.12)/1 = 0.48.

Recall Trigger

Halo-halo: C_composite = Σ(Ci × Ai) / ΣAi — weighted average by area.

Tags

  • definition
  • IDF
  • intensity
  • duration

Topic

IDF Curves

Concept

IDF relationship: Rainfall intensity DECREASES as storm duration INCREASES

Anchor Id

A10

Difficulty

easy

Memory Aid

Picture a faucet turned on full blast for 5 seconds (intense but short) versus the same faucet dripping slowly for 2 hours. The long-duration event has lower average intensity. Now picture PAGASA's rainfall charts — the curves always slope downward to the right. Intensity goes DOWN as duration goes UP. In your mind, draw a ski slope going down-right: that is the IDF curve shape.

Anchor Type

visual_association

Why It Works

The faucet and PAGASA reference are both familiar. Visualizing the ski-slope shape of the IDF curve creates a spatial memory that is rapidly accessible during exams.

Example Usage

Board asks which is larger: 30-min intensity or 60-min intensity for the same return period. Answer: 30-min intensity is HIGHER (shorter duration = higher intensity).

Recall Trigger

Ski slope going down-right: longer storm = lower intensity.

Tags

  • unit conversion
  • area
  • formula

Topic

Unit Conversions

Concept

Unit conversion: 1 km² = 100 ha = 10⁶ m²

Anchor Id

A11

Difficulty

easy

Memory Aid

The Power-of-2 Chunk: 1 km² → move TWO steps down the scale. 1 km² = 100 ha (add TWO zeros). 1 ha = 10,000 m² (add FOUR zeros). So 1 km² = 1,000,000 m² = 10⁶ m². Chant: 'km² → ×100 → ha → ×10,000 → m².' Or just remember: km² to m², multiply by 10⁶ (six zeros, a million).

Anchor Type

chunking

Why It Works

Chunking the unit ladder into two steps (km²→ha, ha→m²) with memorable multipliers makes conversion automatic. The repetitive rhythm of 'add zeros' locks in the pattern.

Example Usage

Area = 5 km². For runoff volume: A = 5 × 10⁶ m². For rational method (if using ha): A = 5 × 100 = 500 ha.

Recall Trigger

km² to m²: multiply by one million (10⁶). km² to ha: multiply by 100.

Tags

  • definition
  • peak demand
  • water supply
  • common mistake

Topic

Water Supply — Design Demand

Concept

Q (peak flow) is designed for PEAK demand, not average demand

Anchor Id

A12

Difficulty

medium

Memory Aid

A young engineer, Joel, sized a water main using average daily demand. On Christmas morning, every household in the barangay ran the shower, flushed toilets, and cooked at the same time. The pipes ran dry. His boss told him: 'Joel, the pipe doesn't care about the average — it breaks during the peak!' Joel learned: design conveyance and mains for PEAK demand, not average. Average is for reservoirs and billing. Peak is for pipes and pumps.

Anchor Type

micro_story

Why It Works

Christmas morning in the Philippines is a vivid, universal scene. The story's failure consequence (dry pipes) and the boss's memorable quote create multi-sensory encoding.

Example Usage

Board asks what demand to use for sizing a distribution main: use maximum-day or peak-hour demand, NOT average daily demand.

Recall Trigger

Joel's dry pipes on Christmas: design pipes for PEAK, not average.

Tags

  • formula
  • unit conversion
  • runoff volume

Topic

Runoff Volume — Unit Conversion

Concept

Runoff volume units: when P is in mm and A is in m², divide by 1000 to get m³

Anchor Id

A13

Difficulty

medium

Memory Aid

Rhyme: 'When P is in mm and A is in m², divide by a thousand to get your m³.' OR: 'mm times m-squared, a thousand must be shared.' The division by 1000 comes from converting mm to m (1 mm = 0.001 m). Always convert P to meters before multiplying: V(m³) = C × P(m) × A(m²).

Anchor Type

rhyme

Why It Works

Rhymes exploit the phonological loop — they replay in working memory automatically. The rhyme locks in the correct unit procedure.

Example Usage

P = 120 mm = 0.12 m; A = 12 km² = 12×10⁶ m²; C = 0.45. V = 0.45 × 0.12 × 12×10⁶ = 648,000 m³ = 648 ML.

Recall Trigger

Rhyme: 'mm times m-squared, a thousand must be shared.'

Tags

  • classification
  • groundwater
  • surface water
  • water sources

Topic

Water Supply — Sources

Concept

Groundwater vs Surface water as water supply sources

Anchor Id

A14

Difficulty

easy

Memory Aid

Visualize the Philippines from above: ABOVE ground = rivers, lakes, reservoirs (surface water — you can SEE it). BELOW ground = aquifers, wells (groundwater — hidden, like treasure). Now draw a cross-section: the blue line on top is surface water; the dotted zone below the soil is groundwater. Wells drill DOWN; reservoirs store UP. Surface = visible, above; Ground = hidden, below.

Anchor Type

visual_association

Why It Works

The above/below spatial metaphor is immediately intuitive. Connecting to Philippine water sources (Angat Dam = surface; Novaliches wells = groundwater) personalizes the concept.

Example Usage

Board asks about Angat Reservoir as a water source: surface water. Board asks about artesian wells in Pampanga: groundwater.

Recall Trigger

Blue line on top = surface water; dotted zone below = groundwater.

Tags

  • definition
  • rational method
  • time of concentration
  • assumption

Topic

Rational Method — Assumptions

Concept

The Rational Method assumes the whole catchment contributes ONLY when storm duration ≥ tc

Anchor Id

A15

Difficulty

hard

Memory Aid

Think of a basketball team (the catchment). The team only plays at FULL strength once ALL 5 starters are on the court. If the coach subs in players slowly (storm duration < tc), the team is incomplete. Once ALL players are in (storm duration = tc), you have maximum output (peak discharge Q). The rational method's Q is the FULL TEAM peak — only valid when everyone is contributing.

Anchor Type

analogy

Why It Works

Basketball is hugely popular in the Philippines. The 5-starter analogy perfectly captures the concept of full catchment contribution — a partial team = partial catchment.

Example Usage

Board problem states tc = 30 min and storm duration = 45 min. The whole catchment contributes — use rational method normally. If storm = 20 min < tc, the method would be invalid (not a standard board scenario but conceptually correct).

Recall Trigger

Full basketball team on court = storm duration ≥ tc = maximum Q.

Tags

  • unit conversion
  • volume
  • mega-liter

Topic

Unit Conversions — Volume

Concept

Mega-liter (ML) conversion: 1 ML = 1,000 m³ = 1,000,000 L

Anchor Id

A16

Difficulty

easy

Memory Aid

The Mega Chain: Mega = million. So 1 ML = 1,000,000 L. Since 1 m³ = 1,000 L, then 1 ML = 1,000 m³. Chain: L → ÷1,000 → m³ → ÷1,000 → ML. Going UP the chain (L to ML), divide twice by 1,000. Going DOWN, multiply twice by 1,000. Memorize: 'Mega-liter = thousand cubic meters.'

Anchor Type

chunking

Why It Works

The three-step chain (L, m³, ML) with consistent ÷1,000 steps is highly systematic. Students who master this chain never make volume unit errors.

Example Usage

Runoff volume = 648,000 m³. Convert to ML: 648,000 ÷ 1,000 = 648 ML.

Recall Trigger

1 ML = 1,000 m³. Thousand cubic meters = one mega-liter.

Tags

  • definition
  • runoff
  • precipitation
  • hydrologic cycle

Topic

Hydrologic Cycle — Runoff

Concept

Engineering hydrology quantifies only the RUNOFF portion of precipitation (the rest infiltrates, evaporates, or stores)

Anchor Id

A17

Difficulty

easy

Memory Aid

Picture a pie sliced into four: one slice labeled RUNOFF (the engineering slice — what we design for), one labeled INFILTRATION (goes underground), one labeled EVAPOTRANSPIRATION (goes to sky), one labeled STORAGE (stays in ponds/soil). Engineers grab only the runoff slice. The pie always adds up to 100% (total precipitation). The runoff slice = C × total pie.

Anchor Type

visual_association

Why It Works

Pie-slice visualization directly mirrors a pie chart, which is easily drawn and recalled. The 'engineers grab one slice' metaphor clarifies the scope of engineering hydrology.

Example Usage

If C = 0.6, then 60% of precipitation becomes runoff; 40% is lost to infiltration, evaporation, and storage. V_runoff = 0.6 × P × A.

Recall Trigger

Precipitation pie: runoff slice = C fraction; rest infiltrates/evaporates/stores.

Tags

  • definition
  • per-capita
  • water demand
  • typical values

Topic

Water Supply — Per-Capita Consumption

Concept

Per-capita water consumption typical values (developing country: ~150–200 L/person/day)

Anchor Id

A18

Difficulty

easy

Memory Aid

Lola Nena tracks her household: morning shower (30 L), toilet flushes ×5 (35 L), cooking and drinking (20 L), washing dishes (15 L), laundry (30 L), miscellaneous (20 L). Total: 150 L per person per day. Lola Nena's household is the Philippine standard. In cities, usage reaches 200 L/person/day. Remember: Lola Nena = 150 L/day; city dweller = 200 L/day.

Anchor Type

micro_story

Why It Works

The Lola Nena character is universally relatable to Filipino students. Breaking down 150 L into household activities makes the number concrete and verifiable from personal experience.

Example Usage

Board gives population of 50,000 and per-capita of 150 L/person/day. Average demand = 50,000 × 150 = 7,500,000 L/day = 7,500 m³/day.

Recall Trigger

Lola Nena's daily water log = 150 L/person/day (Philippine standard).

Tags

  • definition
  • return period
  • probability
  • IDF

Topic

IDF — Return Period

Concept

Return period (recurrence interval) — a 25-year storm does not mean it occurs every 25 years

Anchor Id

A19

Difficulty

medium

Memory Aid

Think of a 25-year return period storm like a rare adobo recipe from Lola — statistically, it should appear once every 25 years on average, but it can appear two years in a row or skip 40 years. It's a probability (1/25 = 4% chance in any given year), not a schedule. The universe does not keep a calendar. A 100-year storm has a 1% chance each year — meaning it COULD happen tomorrow.

Anchor Type

analogy

Why It Works

The adobo recipe analogy and the 'universe doesn't keep a calendar' punchline are humorous and memorable. Understanding probability vs schedule is a frequent board exam trap.

Example Usage

Board asks: 'What is the probability of a 50-year flood occurring in any given year?' Answer: P = 1/50 = 0.02 = 2%.

Recall Trigger

Rare adobo recipe: return period = average interval = 1/probability, not a guaranteed schedule.

Tags

  • application
  • peak flow
  • volume
  • design

Topic

Design Applications

Concept

Design conveyance (drains, culverts) for peak flow; design storage (reservoirs) for volume

Anchor Id

A20

Difficulty

medium

Memory Aid

Two engineers: Engineer Q designs a culvert (FLOW = rate = m³/s = Q). Engineer V designs a reservoir (VOLUME = stored water = m³ = V). Engineer Q only cares about the peak spike. Engineer V cares about the total accumulated water over time. Their names ARE the variables: Q for conveyance flow rate, V for storage volume.

Anchor Type

visual_association

Why It Works

Naming the engineers after the variables (Q and V) creates a character-variable association. Characters are more memorable than abstract variables.

Example Usage

Board: size a drainage canal → use Q = CiA/360 (peak flow). Board: size a reservoir for drought → use V = C×P×A (runoff volume over season).

Recall Trigger

Engineer Q: culverts/drains. Engineer V: reservoirs. Q=rate, V=volume.

Revision Game

Q = CiA/360 (Rational Method for peak discharge)

Clue

I am a spy with three identities — C, i, and A — and I always work at 360. What formula am I?

Memory Link

Anchor A1: CIA at 360 mnemonic

Peak demand factors: Maximum day = 1.5× average; Peak hour = 2–3× average

Clue

On my fiesta day, 1.5 times the crowd shows up. On the peak lunch hour, 2 to 3 times more arrive. What engineering concept am I describing?

Memory Link

Anchor A6: Barrio Fiesta analogy for peak demands

The 360 unit conversion factor (derived from: 1 mm/hr × 1 ha = 10 m³/hr = 10/3600 m³/s = 1/360 m³/s)

Clue

I am the reason why mm/hr × hectares must be divided by 360 to give m³/s. What am I?

Memory Link

Anchor A3: Engineer Rafa's unit conversion story

V_runoff = C × P × A (runoff volume, with P in meters and A in m²)

Clue

I am the VIP at the rain party — I measure how much water accumulates from a storm, not how fast it flows. What formula am I?

Memory Link

Anchor A4: VIP party drenched mnemonic

Runoff coefficient C: C ≈ 0.10–0.20 for lawns/forests (towel), C ≈ 0.90–0.95 for pavement/rooftops (car hood)

Clue

A waxed car hood versus a bath towel — I am the number that separates them on a scale from 0.1 to 0.95. Name me and give examples at both extremes.

Memory Link

Anchor A2: Car hood vs bath towel analogy

150 L/person/day = typical Philippine per-capita water consumption (used in average daily demand calculation)

Clue

Lola Nena uses 30 L for her shower, 35 L for toilet flushes, 20 L for cooking and drinking, 15 L for dishes, 30 L for laundry, and 20 L for miscellaneous. What is the total and what concept does it represent?

Memory Link

Anchor A18: Lola Nena's daily water log micro-story

Precipitation → Infiltration/Interception → Surface Runoff → Streamflow → Evapotranspiration → (back to) Precipitation

Clue

PISSET! Name the six stages in order.

Memory Link

Anchor A7: PISSET acronym for the hydrologic cycle

IDF curve shape: intensity decreases as storm duration increases. For the rational method, use intensity at duration = tc (time of concentration), not longer or shorter.

Clue

I am the ski slope that always goes down to the right — longer duration means lower me. What am I, and why does it matter for the rational method?

Memory Link

Anchor A10: IDF ski-slope visual association

Formula Mnemonics

Formula

Q = CiA/360 (i in mm/hr, A in ha, Q in m³/s)

Mnemonic

CIA at 360: the three spies C, i, A multiply and report to HQ divided by 360.

When To Use

Use for estimating peak storm runoff from small urban or rural catchments (< ~13 km² is a common upper limit). Requires storm duration ≥ time of concentration tc. Design return period is selected based on project risk (e.g., 10-year for minor drains, 100-year for major infrastructure).

What Each Part Means

C = runoff coefficient (dimensionless, 0.1–0.95); i = rainfall intensity in mm/hr (taken at tc and design return period); A = catchment area in hectares; 360 = unit conversion factor (converts mm/hr × ha to m³/s); Q = peak discharge in m³/s.

Formula

V_runoff = C × P × A (consistent units: P in m, A in m², V in m³)

Mnemonic

VIP party: V = C (bouncer filter) × P (party rainfall depth) × A (venue area). All VIPs must be in meters and m².

When To Use

Use to find the total volume of water that runs off during a storm event — needed for reservoir sizing, detention pond design, and flood volume calculations. Note: this gives volume, not rate.

What Each Part Means

V = total runoff volume (m³); C = runoff coefficient (dimensionless); P = total rainfall depth in meters (convert from mm: divide by 1000); A = catchment area in m² (convert km² by multiplying by 10⁶).

Formula

Average Daily Demand = Population × Per-capita consumption (L/person/day)

Mnemonic

Sari-sari formula: Total Sales = Customers × Daily Purchase per Customer.

When To Use

Use as the baseline demand for water supply system design. This is the average — then apply multipliers for peak conditions.

What Each Part Means

Population = number of people served by the water system; Per-capita consumption = liters each person uses per day (typically 150–200 L/person/day in Philippines); Product = total liters per day (divide by 1000 for m³/day).

Formula

Maximum Day Demand = 1.5 × Average Daily Demand

Mnemonic

Fiesta Day: 1.5 times the usual crowd. Half again as many people at the buffet.

When To Use

Use for sizing distribution mains, storage reservoirs, and treatment plant capacity.

What Each Part Means

1.5 = maximum-day peaking factor (accounts for seasonal variation, highest-demand day of year); Average Daily Demand is calculated from population × per-capita. Max-day demand is used to size water mains and service reservoirs.

Formula

Peak Hour Demand = (2 to 3) × Average Daily Demand (per day basis) — or expressed as peak hourly rate

Mnemonic

Fiesta noon rush: 2 to 3 times the daily average crowd compressed into the hour. Factor range = 2 to 3.

When To Use

Use for sizing small-diameter distribution pipes, booster pump stations, and pressure zone design where short-burst demand governs.

What Each Part Means

2–3 = peak-hour peaking factor (varies by population size and locality; smaller communities have higher peaks); applied to average daily demand converted to an hourly rate (divide daily by 24). Used for sizing house connections and small distribution mains.

Formula

C_composite = Σ(Ci × Ai) / Σ(Ai)

Mnemonic

Halo-halo sweetness = sum of (each ingredient's sweetness × its portion) divided by total portion.

When To Use

Use when a catchment has multiple land-use types (e.g., 40% pavement + 60% lawn). Always required before applying the rational method to mixed land-use catchments.

What Each Part Means

Ci = runoff coefficient of each sub-area i; Ai = area of each sub-area i; Σ = summation over all sub-areas; Result is the area-weighted average C for the entire catchment.

Quick Recall Chains

Chain Title

Hydrologic Cycle — 6 Stages (PISSET)

Recall Test

Without looking, recite all 6 stages of the hydrologic cycle using PISSET. Can you name what happens between Surface Runoff and Evapotranspiration?

Memory Chain

PISSET — say it like a Filipino exclamation. P=Precipitation falls from sky. I=Infiltrates into ground. S=Surface runoff flows over land. S=Streamflow moves to rivers. E=Evaporation rises back to sky. T=Transpiration from plants completes the loop. Repeat: 'PISSET and back to P!'

Items To Remember

  • Precipitation
  • Interception and Infiltration
  • Surface Runoff
  • Streamflow
  • Evapotranspiration
  • Transpiration / back to Precipitation

Chain Title

Rational Method Steps — Board Problem Procedure

Recall Test

Walk through the rational method for: C=0.75, i=80 mm/hr, A=35 ha. What is Q? (Answer: Q = 0.75×80×35/360 = 5.83 m³/s)

Memory Chain

CIA Reads Area Quickly: C → tc → i → A(ha) → Q=CiA/360 → Report. Remember the spy CIA: get your C, find the time (tc), read the intensity (i), check your Area, divide by 360, and report Q. Six steps, six letters: C-T-I-A-Q-R (CIA at QR code speed).

Items To Remember

  • Identify C (runoff coefficient, from land use)
  • Identify or compute tc (time of concentration)
  • Read i from IDF curve at tc and design return period
  • Convert A to hectares if not already
  • Apply Q = CiA/360
  • Report Q in m³/s

Chain Title

Water Demand Design Sequence

Recall Test

Population = 250,000; per-capita = 200 L/person/day; peak-hour factor = 2.5. Find average daily, max-day, and peak-hour demands. (Answers: Avg = 50,000 m³/day; Max-day = 75,000 m³/day; Peak-hour rate = 50,000/24 × 2.5 = 5,208 m³/hr)

Memory Chain

PAPA's thirst: Population × Per-capita = Average. Fiesta Day (×1.5) = Max Day. Fiesta Hour (×2–3) = Peak Hour. Design for the thirstiest moment. P-A-M-P-D chain: Pop → Avg → Max-day → Peak-hour → Design.

Items To Remember

  • Determine design population (future year)
  • Multiply by per-capita consumption → Average Daily Demand
  • Multiply by 1.5 → Maximum Day Demand (for mains and storage)
  • Multiply by 2–3 → Peak Hour Demand (for distribution pipes)
  • Design infrastructure for the governing (highest) demand

Chain Title

Unit Conversion Ladder for Rational Method

Recall Test

A=8 km², i=60 mm/hr, C=0.5. Find Q (m³/s) and V for P=90 mm storm (m³). (Q = 0.5×60×800ha/360 = 66.67 m³/s; V = 0.5×0.09×8×10⁶ = 360,000 m³)

Memory Chain

The 360 Rule: keep i in mm/hr, A in ha, divide by 360, get m³/s. For Volume: make P in m and A in m², no division needed — just multiply CPA. Two modes: CIA/360 for rate; CPA direct for volume.

Items To Remember

  • i: mm/hr (keep as-is for rational method)
  • A: convert to hectares (1 km² = 100 ha; 1 m² = 0.0001 ha = 10⁻⁴ ha)
  • Divide CiA by 360
  • Result Q is in m³/s
  • For volume V: convert P to meters (÷1000), A to m² (km²×10⁶), result is m³

Chain Title

Common Board Exam Pitfalls — Checklist

Recall Test

A problem gives A=3 km², C=0.5, P=100 mm. A classmate computes V = 0.5×100×3 = 150 m³. What is the error? (Failed to convert: P must be 0.1 m and A must be 3×10⁶ m². Correct V = 0.5×0.1×3×10⁶ = 150,000 m³)

Memory Chain

The Board Traps 6-Point Oath: I will (1) use 360 only with mm/hr and ha, (2) read i at tc, (3) multiply km² by 10⁶ for volume, (4) divide mm by 1000 for volume, (5) design for peak not average, (6) area-weight my composite C. Recite before each problem.

Items To Remember

  • Use 360 factor ONLY when i is mm/hr and A is in hectares
  • Use i at tc, not at an arbitrary or longer duration
  • Convert km² to m² (×10⁶) for runoff volume
  • Convert mm to m (÷1000) for runoff volume depth P
  • Distinguish average demand (billing) from peak demand (design)
  • Composite C must be area-weighted, not arithmetic average
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