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

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

Formula

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

Example

`"51.44444h"=2.778*"3.00km²"/"45m³/s"`

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Area of Catchment: 3 Square Kilometer --> 3000000 Square Meter (Check conversion here)
Equilibrium Discharge: 45 Cubic Meter per Second --> 45 Cubic Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_r = 2.778*A/Q_s --> 2.778*3000000/45

Evaluating ... ...

D_r = 185200

STEP 3: Convert Result to Output's Unit

185200 Second -->51.4444444444444 Hour (Check conversion here)

FINAL ANSWER

51.4444444444444 ≈ 51.44444 Hour <-- Duration of Excess Rainfall

(Calculation completed in 00.004 seconds)

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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

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

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

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

Duration of ER given Maximum Rate of Discharge from S-Curve calculator uses Duration of Excess Rainfall = 2.778*Area of Catchment/Equilibrium Discharge to calculate 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 calculate Duration of ER given Maximum Rate of Discharge from S-Curve using this online calculator? To use this online calculator 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. Here is how the Duration of ER given Maximum Rate of Discharge from S-Curve calculation can be explained with given input values -> 0.01429 = 2.778*3000000/45.

FAQ

What is Duration of ER given Maximum Rate of Discharge from S-Curve?

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

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

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

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