Catchment Area for Peak Discharge of Weighted Mean Slope Lesser than 0.0028 Calculator

✖Peak discharge of a D-h Unit hydrograph is the maximum volume flow rate displays in a unit hydrograph.ⓘ Peak discharge of a D-h Unit hydrograph [Q_pd]			+10% -10%
✖Weighted Mean Slope derived for peak discharge is calculated by multiplying the weight (or probability) associated with a particular event or outcome.ⓘ Weighted Mean Slope [S_m]			+10% -10%

✖Area of catchment is the area from which rain flows into a particular river or lake.ⓘ Catchment Area for Peak Discharge of Weighted Mean Slope Lesser than 0.0028 [A]

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Formula

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Catchment Area for Peak Discharge of Weighted Mean Slope Lesser than 0.0028

Formula

`"A" = ("Q"_{"pd"}/(37.4*"S"_{"m"}^(2/3)))^(4/3)`

Example

`"2.999902km²"=("129031m³/s"/(37.4*("0.010471")^(2/3)))^(4/3)`

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Catchment Area for Peak Discharge of Weighted Mean Slope Lesser than 0.0028 Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Catchment = (Peak discharge of a D-h Unit hydrograph/(37.4*Weighted Mean Slope^(2/3)))^(4/3)
A = (Q_pd/(37.4*S_m^(2/3)))^(4/3)
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.
Peak discharge of a D-h Unit hydrograph - (Measured in Cubic Meter per Second) - Peak discharge of a D-h Unit hydrograph is the maximum volume flow rate displays in a unit hydrograph.
Weighted Mean Slope - Weighted Mean Slope derived for peak discharge is calculated by multiplying the weight (or probability) associated with a particular event or outcome.

STEP 1: Convert Input(s) to Base Unit

Peak discharge of a D-h Unit hydrograph: 129031 Cubic Meter per Second --> 129031 Cubic Meter per Second No Conversion Required
Weighted Mean Slope: 0.010471 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = (Q_pd/(37.4*S_m^(2/3)))^(4/3) --> (129031/(37.4*0.010471^(2/3)))^(4/3)

Evaluating ... ...

A = 2999902.49601622

STEP 3: Convert Result to Output's Unit

2999902.49601622 Square Meter -->2.99990249601622 Square Kilometer (Check conversion here)

FINAL ANSWER

2.99990249601622 ≈ 2.999902 Square Kilometer <-- Area of Catchment

(Calculation completed in 00.004 seconds)

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Peak Discharge of D-h Unit Hydrograph given Lag Time

Go Peak discharge of a D-h Unit hydrograph = (Area of Catchment)*(1.56/Lag Time of a 1-h Unit Hydrograph)^(1/0.9)

Catchment Area given Lag Time of 1-h Unit Hydrograph

Go Area of Catchment = Peak discharge of a D-h Unit hydrograph*(Lag Time of a 1-h Unit Hydrograph/1.56)^(1/0.9)

Lag Time of 1-h Unit Hydrograph

Go Lag Time of a 1-h Unit Hydrograph = 1.56/((Peak discharge of a D-h Unit hydrograph/Area of Catchment)^0.9)

Catchment Area for Peak Discharge of Weighted Mean Slope Lesser than 0.0028

Go Area of Catchment = (Peak discharge of a D-h Unit hydrograph/(37.4*Weighted Mean Slope^(2/3)))^(4/3)

Weighted Mean Slope given Peak Discharge of D-h Unit Hydrograph

Go Weighted Mean Slope = (Peak discharge of a D-h Unit hydrograph/(37.4*Area of Catchment^(3/4)))^(3/2)

Peak Discharge of D-h Unit Hydrograph for Weighted Mean Slope Lesser than 0.0028

Go Peak discharge of a D-h Unit hydrograph = 37.4*Area of Catchment^(3/4)*Weighted Mean Slope^(2/3)

Lag Time of 1-h Unit Hydrograph given Duration of Rainfall Excess

Go Lag Time of a 1-h Unit Hydrograph = Duration of Excess Rainfall in Hours/1.1

Duration of Rainfall Excess

Go Duration of Excess Rainfall in Hours = 1.1*Lag Time of a 1-h Unit Hydrograph

Catchment Area given Peak Discharge of D-h Unit Hydrograph

Go Area of Catchment = (Peak discharge of a D-h Unit hydrograph/1.79)^(4/3)

Peak Discharge of D-h Unit Hydrograph

Go Peak discharge of a D-h Unit hydrograph = 1.79*Area of Catchment^(3/4)

Catchment Area for Peak Discharge of Weighted Mean Slope Lesser than 0.0028 Formula

Area of Catchment = (Peak discharge of a D-h Unit hydrograph/(37.4*Weighted Mean Slope^(2/3)))^(4/3)
A = (Q_pd/(37.4*S_m^(2/3)))^(4/3)

What is Basin lag?

Basin lag time, defined as the elapsed time between the occurrences of the centroids of the effective rainfall and of the storm runoff hydrograph, is an important factor in determining the time to peak of the unit hydrograph and the intensity of peak discharge.

What is Catchment Area?

Catchment Area is an area of land where all of the precipitation that falls, less the water lost to evaporation and deep aquifer recharge, eventually flows to a single outlet.

How to Calculate Catchment Area for Peak Discharge of Weighted Mean Slope Lesser than 0.0028?

Catchment Area for Peak Discharge of Weighted Mean Slope Lesser than 0.0028 calculator uses Area of Catchment = (Peak discharge of a D-h Unit hydrograph/(37.4*Weighted Mean Slope^(2/3)))^(4/3) to calculate the Area of Catchment, The Catchment Area for Peak Discharge of Weighted Mean Slope Lesser than 0.0028 formula is defined as the area of land where all of the precipitation that falls, less the water lost to evaporation and deep aquifer recharge, eventually flows to a single outlet. Area of Catchment is denoted by A symbol.

How to calculate Catchment Area for Peak Discharge of Weighted Mean Slope Lesser than 0.0028 using this online calculator? To use this online calculator for Catchment Area for Peak Discharge of Weighted Mean Slope Lesser than 0.0028, enter Peak discharge of a D-h Unit hydrograph (Q_pd) & Weighted Mean Slope (S_m) and hit the calculate button. Here is how the Catchment Area for Peak Discharge of Weighted Mean Slope Lesser than 0.0028 calculation can be explained with given input values -> 3E-6 = (129031/(37.4*0.010471^(2/3)))^(4/3).

FAQ

What is Catchment Area for Peak Discharge of Weighted Mean Slope Lesser than 0.0028?

The Catchment Area for Peak Discharge of Weighted Mean Slope Lesser than 0.0028 formula is defined as the area of land where all of the precipitation that falls, less the water lost to evaporation and deep aquifer recharge, eventually flows to a single outlet and is represented as A = (Q_pd/(37.4*S_m^(2/3)))^(4/3) or Area of Catchment = (Peak discharge of a D-h Unit hydrograph/(37.4*Weighted Mean Slope^(2/3)))^(4/3). Peak discharge of a D-h Unit hydrograph is the maximum volume flow rate displays in a unit hydrograph & Weighted Mean Slope derived for peak discharge is calculated by multiplying the weight (or probability) associated with a particular event or outcome.

How to calculate Catchment Area for Peak Discharge of Weighted Mean Slope Lesser than 0.0028?

The Catchment Area for Peak Discharge of Weighted Mean Slope Lesser than 0.0028 formula is defined as the area of land where all of the precipitation that falls, less the water lost to evaporation and deep aquifer recharge, eventually flows to a single outlet is calculated using Area of Catchment = (Peak discharge of a D-h Unit hydrograph/(37.4*Weighted Mean Slope^(2/3)))^(4/3). To calculate Catchment Area for Peak Discharge of Weighted Mean Slope Lesser than 0.0028, you need Peak discharge of a D-h Unit hydrograph (Q_pd) & Weighted Mean Slope (S_m). With our tool, you need to enter the respective value for Peak discharge of a D-h Unit hydrograph & Weighted Mean Slope 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 Area of Catchment?

In this formula, Area of Catchment uses Peak discharge of a D-h Unit hydrograph & Weighted Mean Slope. We can use 2 other way(s) to calculate the same, which is/are as follows -

Area of Catchment = (Peak discharge of a D-h Unit hydrograph/1.79)^(4/3)
Area of Catchment = Peak discharge of a D-h Unit hydrograph*(Lag Time of a 1-h Unit Hydrograph/1.56)^(1/0.9)

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