Maximum Rate of Discharge from S-Curve Calculator

✖Area of catchment is the area from which rain flows into a particular river or lake.ⓘ Area of Catchment [A]			+10% -10%
✖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.ⓘ Duration of Excess Rainfall [D_r]			+10% -10%

✖Equilibrium Discharge at a time equal to the time base of the first unit hydrograph.ⓘ Maximum Rate of Discharge from S-Curve [Q_s]

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Maximum Rate of Discharge from S-Curve

Formula

`"Q"_{"s"} = 2.778*"A"/"D"_{"r"}`

Example

`"44.51923m³/s"=2.778*"3.00km²"/"52h"`

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Maximum Rate of Discharge from S-Curve Solution

STEP 0: Pre-Calculation Summary

Formula Used

Equilibrium Discharge = 2.778*Area of Catchment/Duration of Excess Rainfall
Q_s = 2.778*A/D_r
This formula uses 3 Variables

Variables Used

Equilibrium Discharge - (Measured in Cubic Meter per Second) - Equilibrium Discharge at a time equal to the time base of the first unit hydrograph.
Area of Catchment - (Measured in Square Meter) - Area of catchment is the area from which rain flows into a particular river or lake.
Duration of Excess Rainfall - (Measured in Second) - 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.

STEP 1: Convert Input(s) to Base Unit

Area of Catchment: 3 Square Kilometer --> 3000000 Square Meter (Check conversion here)
Duration of Excess Rainfall: 52 Hour --> 187200 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_s = 2.778*A/D_r --> 2.778*3000000/187200

Evaluating ... ...

Q_s = 44.5192307692308

STEP 3: Convert Result to Output's Unit

44.5192307692308 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

44.5192307692308 ≈ 44.51923 Cubic Meter per Second <-- Equilibrium Discharge

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Engineering Hydrology » Hydrographs » Unit Hydrographs of Different Duration » The S-Curve » Maximum Rate of Discharge from S-Curve

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< 7 The S-Curve Calculators

Equilibrium Discharge from S Curve

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

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

Go Area of Catchment = Equilibrium Discharge*Duration of Excess Rainfall/2.778

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

Go Duration of Excess Rainfall = 2.778*Area of Catchment/Equilibrium Discharge

Maximum Rate of Discharge from S-Curve

Go Equilibrium Discharge = 2.778*Area of Catchment/Duration of Excess Rainfall

Ordinates of Unit Hydrograph for S-Curve at Certain Time

Go Ordinates of Unit Hydrograph = S-Curve at Time 't'-S-Curve Addition

S Curve at any time

Go S-Curve at Time 't' = Ordinates of Unit Hydrograph+S-Curve Addition

S-Curve Addition

Go S-Curve Addition = S-Curve at Time 't'-Ordinates of Unit Hydrograph

Maximum Rate of Discharge from S-Curve Formula

Equilibrium Discharge = 2.778*Area of Catchment/Duration of Excess Rainfall
Q_s = 2.778*A/D_r

What is S-curve method in Hydrograph?

The S-curve is a method of deriving a unit hydrograph for a desired duration from one or another duration through the use of an S-curve. It is a graph showing the summation of the ordinates of a series of unit hydrographs spaced at unit-rainfall duration intervals. It represents the hydrograph of the unit rate of rainfall excess continued indefinitely.

What is meant by Unit Hydrograph?

A unit hydrograph is a direct runoff hydrograph resulting from one unit (one inch or one cm) of constant intensity uniform rainfall occurring over the entire watershed. The role of unit hydrograph in hydrology is to provide an estimate of direct runoff hydrograph resulting from a given excess rainfall hyetograph.

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

Maximum Rate of Discharge from S-Curve calculator uses Equilibrium Discharge = 2.778*Area of Catchment/Duration of Excess Rainfall to calculate 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 calculate Maximum Rate of Discharge from S-Curve using this online calculator? To use this online calculator for Maximum Rate of Discharge from S-Curve, enter Area of Catchment (A) & Duration of Excess Rainfall (D_r) and hit the calculate button. Here is how the Maximum Rate of Discharge from S-Curve calculation can be explained with given input values -> 44.51923 = 2.778*3000000/187200.

FAQ

What is Maximum Rate of Discharge from S-Curve?

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 and is represented as Q_s = 2.778*A/D_r or Equilibrium Discharge = 2.778*Area of Catchment/Duration of Excess Rainfall. Area of catchment is the area from which rain flows into a particular river or lake & 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.

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

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 is calculated using Equilibrium Discharge = 2.778*Area of Catchment/Duration of Excess Rainfall. To calculate Maximum Rate of Discharge from S-Curve, you need Area of Catchment (A) & Duration of Excess Rainfall (D_r). With our tool, you need to enter the respective value for Area of Catchment & Duration of Excess Rainfall and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Equilibrium Discharge?

In this formula, Equilibrium Discharge uses Area of Catchment & Duration of Excess Rainfall. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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