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

STEP 0: Pre-Calculation Summary
Formula Used
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
MQ2 = (n*(n+1)*K^2)+(2*n*K*MI1)+MI2
This formula uses 5 Variables
Variables Used
Second Moment of the DRH - Second Moment of the DRH about the time origin divided by the total direct runoff.
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.
First Moment of the ERH - First Moment of the ERH about the time origin divided by the total effective rainfall.
Second Moment of the ERH - Second Moment of the ERH is about the time origin divided by the total excess rainfall.
STEP 1: Convert Input(s) to Base Unit
Constant n: 3 --> No Conversion Required
Constant K: 4 --> No Conversion Required
First Moment of the ERH: 10 --> No Conversion Required
Second Moment of the ERH: 16 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
MQ2 = (n*(n+1)*K^2)+(2*n*K*MI1)+MI2 --> (3*(3+1)*4^2)+(2*3*4*10)+16
Evaluating ... ...
MQ2 = 448
STEP 3: Convert Result to Output's Unit
448 --> No Conversion Required
FINAL ANSWER
448 <-- Second Moment of the DRH
(Calculation completed in 00.004 seconds)

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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 DRH about Time Origin divided by Total Direct Runoff Formula

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
MQ2 = (n*(n+1)*K^2)+(2*n*K*MI1)+MI2

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 DRH about Time Origin divided by Total Direct Runoff?

Second Moment of DRH about Time Origin divided by Total Direct Runoff calculator uses 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 to calculate the Second Moment of the DRH, The Second Moment of DRH about Time Origin divided by Total Direct Runoff formula is defined as the moment of Direct Runoff Hydrograph corresponding to the moment of effective rainfall hyetograph. Second Moment of the DRH is denoted by MQ2 symbol.

How to calculate Second Moment of DRH about Time Origin divided by Total Direct Runoff using this online calculator? To use this online calculator for Second Moment of DRH about Time Origin divided by Total Direct Runoff, enter Constant n (n), Constant K (K), First Moment of the ERH (MI1) & Second Moment of the ERH (MI2) and hit the calculate button. Here is how the Second Moment of DRH about Time Origin divided by Total Direct Runoff calculation can be explained with given input values -> 22.7452 = (3*(3+1)*4^2)+(2*3*4*10)+16.

FAQ

What is Second Moment of DRH about Time Origin divided by Total Direct Runoff?
The Second Moment of DRH about Time Origin divided by Total Direct Runoff formula is defined as the moment of Direct Runoff Hydrograph corresponding to the moment of effective rainfall hyetograph and is represented as MQ2 = (n*(n+1)*K^2)+(2*n*K*MI1)+MI2 or 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. 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, First Moment of the ERH about the time origin divided by the total effective rainfall & Second Moment of the ERH is about the time origin divided by the total excess rainfall.
How to calculate Second Moment of DRH about Time Origin divided by Total Direct Runoff?
The Second Moment of DRH about Time Origin divided by Total Direct Runoff formula is defined as the moment of Direct Runoff Hydrograph corresponding to the moment of effective rainfall hyetograph is calculated using 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. To calculate Second Moment of DRH about Time Origin divided by Total Direct Runoff, you need Constant n (n), Constant K (K), First Moment of the ERH (MI1) & Second Moment of the ERH (MI2). With our tool, you need to enter the respective value for Constant n, Constant K, First Moment of the ERH & Second Moment of the ERH 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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