Second Moment of Instantaneous Unit Hydrograph or IUH Formula

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Second Moment of the IUH i.e. Instantaneous unit hydrograph. Check FAQs
M2=n(n+1)K2
M2 - Second Moment of the IUH?n - Constant n?K - Constant K?

Second Moment of Instantaneous Unit Hydrograph or IUH Example

With values
With units
Only example

Here is how the Second Moment of Instantaneous Unit Hydrograph or IUH equation looks like with Values.

Here is how the Second Moment of Instantaneous Unit Hydrograph or IUH equation looks like with Units.

Here is how the Second Moment of Instantaneous Unit Hydrograph or IUH equation looks like.

192Edit=3Edit(3Edit+1)4Edit2
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Second Moment of Instantaneous Unit Hydrograph or IUH Solution

Follow our step by step solution on how to calculate Second Moment of Instantaneous Unit Hydrograph or IUH?

FIRST Step Consider the formula
M2=n(n+1)K2
Next Step Substitute values of Variables
M2=3(3+1)42
Next Step Prepare to Evaluate
M2=3(3+1)42
LAST Step Evaluate
M2=192

Second Moment of Instantaneous Unit Hydrograph or IUH Formula Elements

Variables
Second Moment of the IUH
Second Moment of the IUH i.e. Instantaneous unit hydrograph.
Symbol: M2
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Constant n
Constant n is for the catchment to be determined by the effective rainfall of the catchment.
Symbol: n
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Constant K
Constant K is for the catchment to be determined by flood hydrograph characteristics of the catchment.
Symbol: K
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.

Other formulas in Determination of n and S of Nash's Model category

​Go First Moment of DRH about Time Origin divided by Total Direct Runoff
MQ1=(nK)+MI1
​Go First Moment of ERH about Time Origin divided by Total Effective Rainfall
MI1=MQ1-(nK)
​Go Second Moment of ERH about Time Origin divided by Total Excess Rainfall
MI2=MQ2-(n(n+1)K2)-(2nKMI1)
​Go Second Moment of DRH about Time Origin divided by Total Direct Runoff
MQ2=(n(n+1)K2)+(2nKMI1)+MI2

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

Second Moment of Instantaneous Unit Hydrograph or IUH evaluator uses Second Moment of the IUH = Constant n*(Constant n+1)*Constant K^2 to evaluate 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 evaluate Second Moment of Instantaneous Unit Hydrograph or IUH using this online evaluator? To use this online evaluator for Second Moment of Instantaneous Unit Hydrograph or IUH, enter Constant n (n) & Constant K (K) and hit the calculate button.

FAQs on Second Moment of Instantaneous Unit Hydrograph or IUH

What is the formula to find Second Moment of Instantaneous Unit Hydrograph or IUH?
The formula of Second Moment of Instantaneous Unit Hydrograph or IUH is expressed as Second Moment of the IUH = Constant n*(Constant n+1)*Constant K^2. Here is an example- 0.1452 = 3*(3+1)*4^2.
How to calculate Second Moment of Instantaneous Unit Hydrograph or IUH?
With Constant n (n) & Constant K (K) we can find Second Moment of Instantaneous Unit Hydrograph or IUH using the formula - Second Moment of the IUH = Constant n*(Constant n+1)*Constant K^2.
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