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

✖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 Excess Rainfall [D_r]			+10% -10%

✖Area of catchment is the area from which rain flows into a particular river or lake.ⓘ Area of Catchment given Maximum Rate of Discharge from S-Curve [A]

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

Formula

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

Example

`"3.032397km²"="45m³/s"*"52h"/2.778`

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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

Equilibrium Discharge: 45 Cubic Meter per Second --> 45 Cubic Meter per Second No Conversion Required
Duration of Excess Rainfall: 52 Hour --> 187200 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = Q_s*D_r/2.778 --> 45*187200/2.778

Evaluating ... ...

A = 3032397.40820734

STEP 3: Convert Result to Output's Unit

3032397.40820734 Square Meter -->3.03239740820734 Square Kilometer (Check conversion here)

FINAL ANSWER

3.03239740820734 ≈ 3.032397 Square Kilometer <-- Area of Catchment

(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

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

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

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

Area of Catchment given Maximum Rate of Discharge from S-Curve calculator uses Area of Catchment = Equilibrium Discharge*Duration of Excess Rainfall/2.778 to calculate the Area of Catchment, The Area of Catchment given Maximum Rate of Discharge from S-Curve formula is defined as the area where water is collected by the natural landscape. Area of Catchment is denoted by A symbol.

How to calculate Area of Catchment given Maximum Rate of Discharge from S-Curve using this online calculator? To use this online calculator for Area of Catchment given Maximum Rate of Discharge from S-Curve, enter Equilibrium Discharge (Q_s) & Duration of Excess Rainfall (D_r) and hit the calculate button. Here is how the Area of Catchment given Maximum Rate of Discharge from S-Curve calculation can be explained with given input values -> 3E-6 = 45*187200/2.778.

FAQ

What is Area of Catchment given Maximum Rate of Discharge from S-Curve?

The Area of Catchment given Maximum Rate of Discharge from S-Curve formula is defined as the area where water is collected by the natural landscape and is represented as A = Q_s*D_r/2.778 or Area of Catchment = Equilibrium Discharge*Duration of Excess Rainfall/2.778. Equilibrium Discharge at a time equal to the time base of the first unit hydrograph & 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 Area of Catchment given Maximum Rate of Discharge from S-Curve?

The Area of Catchment given Maximum Rate of Discharge from S-Curve formula is defined as the area where water is collected by the natural landscape is calculated using Area of Catchment = Equilibrium Discharge*Duration of Excess Rainfall/2.778. To calculate Area of Catchment given Maximum Rate of Discharge from S-Curve, you need Equilibrium Discharge (Q_s) & Duration of Excess Rainfall (D_r). With our tool, you need to enter the respective value for Equilibrium Discharge & 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.

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