Second Moment of Instantaneous Unit Hydrograph or IUH Calculator

✖Constant n is for the catchment to be determined by the effective rainfall of the catchment.ⓘ Constant n [n]			+10% -10%
✖Constant K is for the catchment to be determined by flood hydrograph characteristics of the catchment.ⓘ Constant K [K]			+10% -10%

✖Second Moment of the IUH i.e. Instantaneous unit hydrograph.ⓘ Second Moment of Instantaneous Unit Hydrograph or IUH [M₂]

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Formula

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Second Moment of Instantaneous Unit Hydrograph or IUH

Formula

`"M"_{"2"} = "n"*("n"+1)*"K"^2`

Example

`"192"="3"*("3"+1)*("4")^2`

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Download Clark's Method and Nash Model for IUH (Instantaneous Unit Hydrograph) Formulas PDF PDF Image

Second Moment of Instantaneous Unit Hydrograph or IUH Solution

STEP 0: Pre-Calculation Summary

Formula Used

Second Moment of the IUH = Constant n*(Constant n+1)*Constant K^2
M₂ = n*(n+1)*K^2
This formula uses 3 Variables

Variables Used

Second Moment of the IUH - Second Moment of the IUH i.e. Instantaneous unit hydrograph.
Constant n - Constant n is for the catchment to be determined by the effective rainfall of the catchment.
Constant K - Constant K is for the catchment to be determined by flood hydrograph characteristics of the catchment.

STEP 1: Convert Input(s) to Base Unit

Constant n: 3 --> No Conversion Required
Constant K: 4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M₂ = n*(n+1)*K^2 --> 3*(3+1)*4^2

Evaluating ... ...

M₂ = 192

STEP 3: Convert Result to Output's Unit

192 --> No Conversion Required

FINAL ANSWER

192 <-- Second Moment of the IUH

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Engineering Hydrology » Flood Routing » Clark's Method and Nash Model for IUH (Instantaneous Unit Hydrograph) » Nash's Conceptual Model » Determination of n and S of Nash's Model » Second Moment of Instantaneous Unit Hydrograph or IUH

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< 7 Determination of n and S of Nash's Model Calculators

First Moment of ERH given Second Moment of DRH

Go First Moment of the ERH = (Second Moment of the DRH-Second Moment of the ERH-(Constant n*(Constant n+1)*Constant K^2))/(2*Constant n*Constant K)

Second Moment of ERH about Time Origin divided by Total Excess Rainfall

Go Second Moment of the ERH = Second Moment of the DRH-(Constant n*(Constant n+1)*Constant K^2)-(2*Constant n*Constant K*First Moment of the ERH)

Second Moment of DRH about Time Origin divided by Total Direct Runoff

Go Second Moment of the DRH = (Constant n*(Constant n+1)*Constant K^2)+(2*Constant n*Constant K*First Moment of the ERH)+Second Moment of the ERH

First Moment of ERH about Time Origin divided by Total Effective Rainfall

Go First Moment of the ERH = First Moment of the DRH-(Constant n*Constant K)

First Moment of DRH about Time Origin divided by Total Direct Runoff

Go First Moment of the DRH = (Constant n*Constant K)+First Moment of the ERH

Second Moment of Instantaneous Unit Hydrograph or IUH

Go Second Moment of the IUH = Constant n*(Constant n+1)*Constant K^2

First Moment of Instantaneous Unit Hydrograph or IUH

Go First Moment of the IUH = Constant n*Constant K

Second Moment of Instantaneous Unit Hydrograph or IUH Formula

Second Moment of the IUH = Constant n*(Constant n+1)*Constant K^2
M₂ = n*(n+1)*K^2

What is Hyetograph and Hydrograph?

A Hyetograph is a plot of the intensity of rainfall against the time interval it is usually represented by a bar chart.
A Hydrograph is a graphical plot of the discharge of a natural system for river versus time.

What is the use of Unit Hydrograph?

A Unit Hydrograph shows the temporal change in flow, or discharge, per unit of runoff. In other words, how the flow of a stream will be affected over time by the addition of one unit of runoff. The unit hydrograph is a useful tool in the process of predicting the impact of precipitation on streamflow.

How to Calculate Second Moment of Instantaneous Unit Hydrograph or IUH?

Second Moment of Instantaneous Unit Hydrograph or IUH calculator uses Second Moment of the IUH = Constant n*(Constant n+1)*Constant K^2 to calculate the Second Moment of the IUH, The Second Moment of Instantaneous Unit Hydrograph or IUH formula is defined as the moment of the instantaneous unit hydrograph of a watershed where the result is one instantaneous unit of rainfall excess distributed uniformly over the watershed. Second Moment of the IUH is denoted by M₂ symbol.

How to calculate Second Moment of Instantaneous Unit Hydrograph or IUH using this online calculator? To use this online calculator for Second Moment of Instantaneous Unit Hydrograph or IUH, enter Constant n (n) & Constant K (K) and hit the calculate button. Here is how the Second Moment of Instantaneous Unit Hydrograph or IUH calculation can be explained with given input values -> 0.1452 = 3*(3+1)*4^2.

FAQ

What is Second Moment of Instantaneous Unit Hydrograph or IUH?

The Second Moment of Instantaneous Unit Hydrograph or IUH formula is defined as the moment of the instantaneous unit hydrograph of a watershed where the result is one instantaneous unit of rainfall excess distributed uniformly over the watershed and is represented as M₂ = n*(n+1)*K^2 or Second Moment of the IUH = Constant n*(Constant n+1)*Constant K^2. Constant n is for the catchment to be determined by the effective rainfall of the catchment & Constant K is for the catchment to be determined by flood hydrograph characteristics of the catchment.

How to calculate Second Moment of Instantaneous Unit Hydrograph or IUH?

The Second Moment of Instantaneous Unit Hydrograph or IUH formula is defined as the moment of the instantaneous unit hydrograph of a watershed where the result is one instantaneous unit of rainfall excess distributed uniformly over the watershed is calculated using Second Moment of the IUH = Constant n*(Constant n+1)*Constant K^2. To calculate Second Moment of Instantaneous Unit Hydrograph or IUH, you need Constant n (n) & Constant K (K). With our tool, you need to enter the respective value for Constant n & Constant K 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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