Second Moment of DRH about Time Origin divided by Total Direct Runoff 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%
✖First Moment of the ERH about the time origin divided by the total effective rainfall.ⓘ First Moment of the ERH [M_I1]			+10% -10%
✖Second Moment of the ERH is about the time origin divided by the total excess rainfall.ⓘ Second Moment of the ERH [M_I2]			+10% -10%

✖Second Moment of the DRH about the time origin divided by the total direct runoff.ⓘ Second Moment of DRH about Time Origin divided by Total Direct Runoff [M_Q2]

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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
M_Q2 = (n*(n+1)*K^2)+(2*n*K*M_I1)+M_I2
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

M_Q2 = (n*(n+1)*K^2)+(2*n*K*M_I1)+M_I2 --> (3*(3+1)*4^2)+(2*3*4*10)+16

Evaluating ... ...

M_Q2 = 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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< Determination of n and S of Nash's Model Calculators

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

LaTeX 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

LaTeX 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

LaTeX 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

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

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

LaTeX 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
M_Q2 = (n*(n+1)*K^2)+(2*n*K*M_I1)+M_I2

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 M_Q2 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 (M_I1) & Second Moment of the ERH (M_I2) 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 M_Q2 = (n*(n+1)*K^2)+(2*n*K*M_I1)+M_I2 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 (M_I1) & Second Moment of the ERH (M_I2). 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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