Value of Peak Discharge Calculator

✖Runoff Coefficient is a dimensionless coefficient relating the amount of runoff to the amount of precipitation received.ⓘ Runoff Coefficient [C_r]			+10% -10%
✖Drainage Area is the total surface area, where the water from rain which is not absorbed into the ground flows over the ground surface, back into streams, to finally reach that point.ⓘ Drainage Area [A_D]			+10% -10%
✖Intensity of Rainfall is the ratio of the total amount of rain (rainfall depth) falling during a given period to the duration of the period.ⓘ Intensity of Rainfall [i]			+10% -10%

✖Peak Discharge is the maximum volume flow rate passing a particular location during an event.ⓘ Value of Peak Discharge [Q_p]

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Value of Peak Discharge

Formula

`"Q"_{"p"} = "C"_{"r"}*"A"_{"D"}*"i"`

Example

`"4m³/s"="0.5"*"18km²"*"1.6mm/h"`

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Download Rational Method to Estimate the Flood Peak Formulas PDF

Value of Peak Discharge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Peak Discharge = Runoff Coefficient*Drainage Area*Intensity of Rainfall
Q_p = C_r*A_D*i
This formula uses 4 Variables

Variables Used

Peak Discharge - (Measured in Cubic Meter per Second) - Peak Discharge is the maximum volume flow rate passing a particular location during an event.
Runoff Coefficient - Runoff Coefficient is a dimensionless coefficient relating the amount of runoff to the amount of precipitation received.
Drainage Area - (Measured in Square Meter) - Drainage Area is the total surface area, where the water from rain which is not absorbed into the ground flows over the ground surface, back into streams, to finally reach that point.
Intensity of Rainfall - (Measured in Meter per Second) - Intensity of Rainfall is the ratio of the total amount of rain (rainfall depth) falling during a given period to the duration of the period.

STEP 1: Convert Input(s) to Base Unit

Runoff Coefficient: 0.5 --> No Conversion Required
Drainage Area: 18 Square Kilometer --> 18000000 Square Meter (Check conversion here)
Intensity of Rainfall: 1.6 Millimeter per Hour --> 4.44444444444444E-07 Meter per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_p = C_r*A_D*i --> 0.5*18000000*4.44444444444444E-07

Evaluating ... ...

Q_p = 4

STEP 3: Convert Result to Output's Unit

4 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

4 Cubic Meter per Second <-- Peak Discharge

(Calculation completed in 00.004 seconds)

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< 11 Rational Method to Estimate the Flood Peak Calculators

Intensity of Precipitation when Peak Discharge for Field Application is Considered

Go Mean Intensity of Precipitation = Peak Discharge/((1/3.6)*Runoff Coefficient*Drainage Area)

Coefficient of Runoff when Peak Discharge for Field Application is Considered

Go Runoff Coefficient = Peak Discharge/((1/3.6)*Mean Intensity of Precipitation*Drainage Area)

Drainage Area when Peak Discharge for Field Application is Considered

Go Drainage Area = Peak Discharge/((1/3.6)*Mean Intensity of Precipitation*Runoff Coefficient)

Drainage Area given Peak Discharge for Field Application

Go Drainage Area = Peak Discharge/((1/3.6)*Mean Intensity of Precipitation*Runoff Coefficient)

Peak Discharge Equation based on Field Application

Go Peak Discharge = (1/3.6)*Runoff Coefficient*Mean Intensity of Precipitation*Drainage Area

Peak Discharge for Field Application

Go Peak Discharge = (1/3.6)*Runoff Coefficient*Mean Intensity of Precipitation*Drainage Area

Intensity of Rainfall when Peak Discharge is Considered

Go Intensity of Rainfall = Peak Discharge/(Runoff Coefficient*Drainage Area)

Coefficient of Runoff when Peak Value is Considered

Go Runoff Coefficient = Peak Discharge/(Drainage Area*Intensity of Rainfall)

Drainage Area when Peak Discharge is Considered

Go Drainage Area = Peak Discharge/(Intensity of Rainfall*Runoff Coefficient)

Value of Peak Discharge

Go Peak Discharge = Runoff Coefficient*Drainage Area*Intensity of Rainfall

Peak value of runoff

Go Peak Discharge = Runoff Coefficient*Drainage Area*Intensity of Rainfall

Value of Peak Discharge Formula

Peak Discharge = Runoff Coefficient*Drainage Area*Intensity of Rainfall
Q_p = C_r*A_D*i

What is Surface Runoff & Drainage Area?

Surface runoff is water, from rain, snowmelt, or other sources, that flows over the land surface, and is a major component of the water cycle. Runoff that occurs on surfaces before reaching a channel is also called overland flow. A land area which produces runoff draining to a common point is called a watershed.
A Drainage area is the total surface area, upstream of a point on a stream, where the water from rain, snowmelt, or irrigation which is not absorbed into the ground flows over the ground surface, back into streams, to finally reach that point.

What is Peak Discharge & explain use of Runoff Coefficient?

The maximum rate of discharge during the period of runoff caused by a storm is called a peak flow. The information about peak flows and associated volume of runoff during various floods that have been observed in the past can be compiled by the analysis of the observed discharge data and runoff hydrographs.
Runoff coefficient is a dimensionless factor that is used to convert the rainfall amounts to runoff. It represents the integrated effect of catchment losses and hence depends upon the nature of the land surface, slope, degree of saturation, and rainfall intensity. It is a larger value for areas with low infiltration and high runoff (pavement, steep gradient), and lower for permeable, well-vegetated areas (forest, flat land).

How to Calculate Value of Peak Discharge?

Value of Peak Discharge calculator uses Peak Discharge = Runoff Coefficient*Drainage Area*Intensity of Rainfall to calculate the Peak Discharge, The Value of Peak Discharge formula is defined as the maximum rate of discharge during the period of runoff caused by a storm. Peak Discharge is denoted by Q_p symbol.

How to calculate Value of Peak Discharge using this online calculator? To use this online calculator for Value of Peak Discharge, enter Runoff Coefficient (C_r), Drainage Area (A_D) & Intensity of Rainfall (i) and hit the calculate button. Here is how the Value of Peak Discharge calculation can be explained with given input values -> 4 = 0.5*18000000*4.44444444444444E-07.

FAQ

What is Value of Peak Discharge?

The Value of Peak Discharge formula is defined as the maximum rate of discharge during the period of runoff caused by a storm and is represented as Q_p = C_r*A_D*i or Peak Discharge = Runoff Coefficient*Drainage Area*Intensity of Rainfall. Runoff Coefficient is a dimensionless coefficient relating the amount of runoff to the amount of precipitation received, Drainage Area is the total surface area, where the water from rain which is not absorbed into the ground flows over the ground surface, back into streams, to finally reach that point & Intensity of Rainfall is the ratio of the total amount of rain (rainfall depth) falling during a given period to the duration of the period.

How to calculate Value of Peak Discharge?

The Value of Peak Discharge formula is defined as the maximum rate of discharge during the period of runoff caused by a storm is calculated using Peak Discharge = Runoff Coefficient*Drainage Area*Intensity of Rainfall. To calculate Value of Peak Discharge, you need Runoff Coefficient (C_r), Drainage Area (A_D) & Intensity of Rainfall (i). With our tool, you need to enter the respective value for Runoff Coefficient, Drainage Area & Intensity of 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 Peak Discharge?

In this formula, Peak Discharge uses Runoff Coefficient, Drainage Area & Intensity of Rainfall. We can use 3 other way(s) to calculate the same, which is/are as follows -

Peak Discharge = (1/3.6)*Runoff Coefficient*Mean Intensity of Precipitation*Drainage Area
Peak Discharge = Runoff Coefficient*Drainage Area*Intensity of Rainfall
Peak Discharge = (1/3.6)*Runoff Coefficient*Mean Intensity of Precipitation*Drainage Area

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