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Duration of ER given Maximum Rate of Discharge from S-Curve Formula

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Duration of Excess Rainfall is time during which continuous rain is observed, or occurs, at a given point or within a given area or Excess Rainfall of the Unit Hydrograph used in deriving the S-curve. Check FAQs

D r = 2.778 \cdot \frac{A}{Q s}

D_r - Duration of Excess Rainfall?A - Area of Catchment?Q_s - Equilibrium Discharge?

Duration of ER given Maximum Rate of Discharge from S-Curve Example

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Here is how the Duration of ER given Maximum Rate of Discharge from S-Curve equation looks like with Values.

Here is how the Duration of ER given Maximum Rate of Discharge from S-Curve equation looks like with Units.

Here is how the Duration of ER given Maximum Rate of Discharge from S-Curve equation looks like.

51.4444 = 2.778 \cdot \frac{3}{45}

51.4444h = 2.778 \cdot \frac{3km²}{45m³/s}

51.4444 = 2.778 \cdot \frac{3}{45}

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Duration of ER given Maximum Rate of Discharge from S-Curve Solution

Follow our step by step solution on how to calculate Duration of ER given Maximum Rate of Discharge from S-Curve?

FIRST Step Consider the formula

D r = 2.778 \cdot \frac{A}{Q s}

Next Step Substitute values of Variables

∴

D r = 2.778 \cdot \frac{3km²}{45m³/s}

Next Step Convert Units

∴

D r = 2.778 \cdot \frac{3E+6m²}{45m³/s}

Next Step Prepare to Evaluate

∴

D r = 2.778 \cdot \frac{3E+6}{45}

Next Step Evaluate

∴

D r = 185200s

Next Step Convert to Output's Unit

∴

D r = 51.4444444444444h

LAST Step Rounding Answer

∴

D r = 51.4444h

Duration of ER given Maximum Rate of Discharge from S-Curve Formula Elements

Variables

Duration of Excess Rainfall

Symbol: D_r

Measurement: TimeUnit: h

Note: Value should be greater than 0.

Formulas to find Duration of Excess Rainfall

Area of Catchment

Area of Catchment is the geographical area from which water flows into a particular point, such as a well, stream, or reservoir.

Symbol: A

Measurement: AreaUnit: km²

Note: Value should be greater than 0.

Formulas to find Area of Catchment

Equilibrium Discharge

Equilibrium Discharge is the steady flow rate that a well can sustain from an aquifer over an extended period without causing significant drawdown or depletion of the aquifer.

Symbol: Q_s

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Equilibrium Discharge

Other formulas in The S Curve category

Go S Curve at any time

S t = U t + S tD

Go S-Curve Addition

S tD = S t - U t

Go Ordinates of Unit Hydrograph for S-Curve at Certain Time

U t = S t - S tD

Go Equilibrium Discharge from S Curve

Q s = (\frac{A}{T er}) \cdot 10^{4}

How to Evaluate Duration of ER given Maximum Rate of Discharge from S-Curve?

Duration of ER given Maximum Rate of Discharge from S-Curve evaluator uses Duration of Excess Rainfall = 2.778*Area of Catchment/Equilibrium Discharge to evaluate the Duration of Excess Rainfall, The Duration of ER given Maximum Rate of Discharge from S-Curve formula is defined as the duration in hours of ER of the unit hydrograph used in deriving the S-curve. Duration of Excess Rainfall is denoted by D_r symbol.

How to evaluate Duration of ER given Maximum Rate of Discharge from S-Curve using this online evaluator? To use this online evaluator for Duration of ER given Maximum Rate of Discharge from S-Curve, enter Area of Catchment (A) & Equilibrium Discharge (Q_s) and hit the calculate button.

FAQs on Duration of ER given Maximum Rate of Discharge from S-Curve

What is the formula to find Duration of ER given Maximum Rate of Discharge from S-Curve?

The formula of Duration of ER given Maximum Rate of Discharge from S-Curve is expressed as Duration of Excess Rainfall = 2.778*Area of Catchment/Equilibrium Discharge. Here is an example- 0.01429 = 2.778*3000000/45.

How to calculate Duration of ER given Maximum Rate of Discharge from S-Curve?

With Area of Catchment (A) & Equilibrium Discharge (Q_s) we can find Duration of ER given Maximum Rate of Discharge from S-Curve using the formula - Duration of Excess Rainfall = 2.778*Area of Catchment/Equilibrium Discharge.

Can the Duration of ER given Maximum Rate of Discharge from S-Curve be negative?

No, the Duration of ER given Maximum Rate of Discharge from S-Curve, measured in Time cannot be negative.

Which unit is used to measure Duration of ER given Maximum Rate of Discharge from S-Curve?

Duration of ER given Maximum Rate of Discharge from S-Curve is usually measured using the Hour[h] for Time. Second[h], Millisecond[h], Microsecond[h] are the few other units in which Duration of ER given Maximum Rate of Discharge from S-Curve can be measured.

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