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

✖Second Moment of the DRH about the time origin divided by the total direct runoff.ⓘ Second Moment of the DRH [M_Q2]			+10% -10%
✖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 ERH about Time Origin divided by Total Excess Rainfall [M_I2]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

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

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
M_I2 = M_Q2-(n*(n+1)*K^2)-(2*n*K*M_I1)
This formula uses 5 Variables

Variables Used

Second Moment of the ERH - Second Moment of the ERH is about the time origin divided by the total excess rainfall.
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.

STEP 1: Convert Input(s) to Base Unit

Second Moment of the DRH: 448 --> No Conversion Required
Constant n: 3 --> No Conversion Required
Constant K: 4 --> No Conversion Required
First Moment of the ERH: 10 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_I2 = M_Q2-(n*(n+1)*K^2)-(2*n*K*M_I1) --> 448-(3*(3+1)*4^2)-(2*3*4*10)

Evaluating ... ...

M_I2 = 16

STEP 3: Convert Result to Output's Unit

16 --> No Conversion Required

FINAL ANSWER

16 <-- Second Moment of the ERH

(Calculation completed in 00.004 seconds)

You are here -

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 ERH about Time Origin divided by Total Excess Rainfall

Credits

Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has verified this Calculator and 1700+ more calculators!

< 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 ERH about Time Origin divided by Total Excess Rainfall Formula

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

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 ERH about Time Origin divided by Total Excess Rainfall?

Second Moment of ERH about Time Origin divided by Total Excess Rainfall calculator uses 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) to calculate the Second Moment of the ERH, The Second Moment of ERH about Time Origin divided by Total Excess Rainfall formula is defined as the moment of effective rainfall hyetograph corresponding to the moment of Direct Runoff Hydrograph. Second Moment of the ERH is denoted by M_I2 symbol.

How to calculate Second Moment of ERH about Time Origin divided by Total Excess Rainfall using this online calculator? To use this online calculator for Second Moment of ERH about Time Origin divided by Total Excess Rainfall, enter Second Moment of the DRH (M_Q2), Constant n (n), Constant K (K) & First Moment of the ERH (M_I1) and hit the calculate button. Here is how the Second Moment of ERH about Time Origin divided by Total Excess Rainfall calculation can be explained with given input values -> 441.2548 = 448-(3*(3+1)*4^2)-(2*3*4*10).

FAQ

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

The Second Moment of ERH about Time Origin divided by Total Excess Rainfall formula is defined as the moment of effective rainfall hyetograph corresponding to the moment of Direct Runoff Hydrograph and is represented as M_I2 = M_Q2-(n*(n+1)*K^2)-(2*n*K*M_I1) or 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 the DRH about the time origin divided by the total direct runoff, 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.

How to calculate Second Moment of ERH about Time Origin divided by Total Excess Rainfall?

The Second Moment of ERH about Time Origin divided by Total Excess Rainfall formula is defined as the moment of effective rainfall hyetograph corresponding to the moment of Direct Runoff Hydrograph is calculated using 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). To calculate Second Moment of ERH about Time Origin divided by Total Excess Rainfall, you need Second Moment of the DRH (M_Q2), Constant n (n), Constant K (K) & First Moment of the ERH (M_I1). With our tool, you need to enter the respective value for Second Moment of the DRH, Constant n, Constant K & First 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.

Home

FREE PDFs

🔍 Search