Equilibrium 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.ⓘ Equilibrium Discharge from S Curve [Q_s]

⎘ Copy

👎

Formula

✖

Equilibrium Discharge from S Curve

Formula

`"Q"_{"s"} = ("A"/"D"_{"r"})*10^4`

Example

`"0.160256m³/s"=("3.00km²"/"52h")*10^4`

Calculator

LaTeX

Reset

👍

Download Hydrographs Formula PDF PDF Image

Equilibrium Discharge from S Curve Solution

STEP 0: Pre-Calculation Summary

Formula Used

Equilibrium Discharge = (Area of Catchment/Duration of Excess Rainfall)*10^4
Q_s = (A/D_r)*10^4
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 Kilometer) - 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 --> 3 Square Kilometer No Conversion Required
Duration of Excess Rainfall: 52 Hour --> 187200 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_s = (A/D_r)*10^4 --> (3/187200)*10^4

Evaluating ... ...

Q_s = 0.16025641025641

STEP 3: Convert Result to Output's Unit

0.16025641025641 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

0.16025641025641 ≈ 0.160256 Cubic Meter per Second <-- Equilibrium Discharge

(Calculation completed in 00.004 seconds)

You are here -

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

Credits

Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has verified this Calculator and 1700+ more calculators!

< 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

Equilibrium Discharge from S Curve Formula

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

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 Equilibrium Discharge from S Curve?

Equilibrium Discharge from S Curve calculator uses Equilibrium Discharge = (Area of Catchment/Duration of Excess Rainfall)*10^4 to calculate the Equilibrium Discharge, The Equilibrium Discharge from S Curve formula is defined as the time equal to the time base of the first unit hydrograph. Equilibrium Discharge is denoted by Q_s symbol.

How to calculate Equilibrium Discharge from S Curve using this online calculator? To use this online calculator for Equilibrium Discharge from S Curve, enter Area of Catchment (A) & Duration of Excess Rainfall (D_r) and hit the calculate button. Here is how the Equilibrium Discharge from S Curve calculation can be explained with given input values -> 0.160256 = (3000000/187200)*10^4.

FAQ

What is Equilibrium Discharge from S Curve?

The Equilibrium Discharge from S Curve formula is defined as the time equal to the time base of the first unit hydrograph and is represented as Q_s = (A/D_r)*10^4 or Equilibrium Discharge = (Area of Catchment/Duration of Excess Rainfall)*10^4. 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 Equilibrium Discharge from S Curve?

The Equilibrium Discharge from S Curve formula is defined as the time equal to the time base of the first unit hydrograph is calculated using Equilibrium Discharge = (Area of Catchment/Duration of Excess Rainfall)*10^4. To calculate Equilibrium 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 = 2.778*Area of Catchment/Duration of Excess Rainfall

Home

FREE PDFs

🔍 Search