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Maximum Rate of Discharge from S-Curve Formula

GoEquilibrium Discharge from S Curve Formula

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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. Check FAQs

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

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

Maximum Rate of Discharge from S-Curve Example

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

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

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

44.5192 = 2.778 \cdot \frac{3}{52}

44.5192m³/s = 2.778 \cdot \frac{3km²}{52h}

44.5192 = 2.778 \cdot \frac{3}{52}

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Maximum Rate of Discharge from S-Curve Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Q s = 2.778 \cdot \frac{3km²}{52h}

Next Step Convert Units

∴

Q s = 2.778 \cdot \frac{3E+6m²}{187200s}

Next Step Prepare to Evaluate

∴

Q s = 2.778 \cdot \frac{3E+6}{187200}

Next Step Evaluate

∴

Q s = 44.5192307692308m³/s

LAST Step Rounding Answer

∴

Q s = 44.5192m³/s

Maximum Rate of Discharge from S-Curve Formula Elements

Variables

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

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

Duration of Excess Rainfall

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.

Symbol: D_r

Measurement: TimeUnit: h

Note: Value should be greater than 0.

Formulas to find Duration of Excess Rainfall

Other Formulas to find Equilibrium Discharge

Go Equilibrium Discharge from S Curve

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

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 Area of Catchment given Maximum Rate of Discharge from S-Curve

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

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

Maximum Rate of Discharge from S-Curve evaluator uses Equilibrium Discharge = 2.778*Area of Catchment/Duration of Excess Rainfall to evaluate the Equilibrium Discharge, The Maximum Rate of Discharge from S-Curve formula is defined as the highest concentration of runoff from the basin area which is obtained from the S-Hydrograph. Equilibrium Discharge is denoted by Q_s symbol.

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

FAQs on Maximum Rate of Discharge from S-Curve

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

The formula of Maximum Rate of Discharge from S-Curve is expressed as Equilibrium Discharge = 2.778*Area of Catchment/Duration of Excess Rainfall. Here is an example- 44.51923 = 2.778*3000000/187200.

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

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

What are the other ways to Calculate Equilibrium Discharge?

Here are the different ways to Calculate Equilibrium Discharge-

Equilibrium Discharge=(Area of Catchment/Excess Rainfall Time)*10^4

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

Yes, the Maximum Rate of Discharge from S-Curve, measured in Volumetric Flow Rate can be negative.

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

Maximum Rate of Discharge from S-Curve is usually measured using the Cubic Meter per Second[m³/s] for Volumetric Flow Rate. Cubic Meter per Day[m³/s], Cubic Meter per Hour[m³/s], Cubic Meter per Minute[m³/s] are the few other units in which Maximum Rate of Discharge from S-Curve can be measured.

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