Muskingum Equation Calculator

✖Constant K is for the catchment to be determined by flood hydrograph characteristics of the catchment.ⓘ Constant K [K]			+10% -10%
✖Coefficient x in the Equation of maximum intensity of rainfall in general form in the Muskingum Equation is known as the weighing factor.ⓘ Coefficient x in the Equation [x]			+10% -10%
✖Inflow Rate for a given catchment area is the average volume of incoming water in unit time at any interval of time of the day.ⓘ Inflow Rate [I]			+10% -10%
✖Outflow Rate for a given catchment area in any interval of time is the average volume of outgoing water in unit time.ⓘ Outflow Rate [Q]			+10% -10%

✖Change in Storage Volumes of water storage bodies on the stream is the difference of water incoming and outgoing.ⓘ Muskingum Equation [ΔSv]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Hydrologic Routing Formulas PDF PDF Image

Muskingum Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Change in Storage Volumes = Constant K*(Coefficient x in the Equation*Inflow Rate+(1-Coefficient x in the Equation)*Outflow Rate)
ΔSv = K*(x*I+(1-x)*Q)
This formula uses 5 Variables

Variables Used

Change in Storage Volumes - Change in Storage Volumes of water storage bodies on the stream is the difference of water incoming and outgoing.
Constant K - Constant K is for the catchment to be determined by flood hydrograph characteristics of the catchment.
Coefficient x in the Equation - Coefficient x in the Equation of maximum intensity of rainfall in general form in the Muskingum Equation is known as the weighing factor.
Inflow Rate - (Measured in Cubic Meter per Second) - Inflow Rate for a given catchment area is the average volume of incoming water in unit time at any interval of time of the day.
Outflow Rate - (Measured in Cubic Meter per Second) - Outflow Rate for a given catchment area in any interval of time is the average volume of outgoing water in unit time.

STEP 1: Convert Input(s) to Base Unit

Constant K: 4 --> No Conversion Required
Coefficient x in the Equation: 1.8 --> No Conversion Required
Inflow Rate: 28 Cubic Meter per Second --> 28 Cubic Meter per Second No Conversion Required
Outflow Rate: 25 Cubic Meter per Second --> 25 Cubic Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ΔSv = K*(x*I+(1-x)*Q) --> 4*(1.8*28+(1-1.8)*25)

Evaluating ... ...

ΔSv = 121.6

STEP 3: Convert Result to Output's Unit

121.6 --> No Conversion Required

FINAL ANSWER

121.6 <-- Change in Storage Volumes

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Engineering Hydrology » Flood Routing » Hydrologic Routing » Hydrologic Channel Routing » Muskingum Equation » Muskingum Equation

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!

< Muskingum Equation Calculators

Muskingum Routing Equation

LaTeX Go Outflow at the End of Time Interval = Coefficient Co in Muskingum Method of Routing*Inflow at the End of Time Interval+Coefficient C1 in Muskingum Method of Routing*Inflow at the Beginning of Time Interval+Coefficient C2 in Muskingum Method of Routing*Outflow at the Beginning of Time Interval

Change in Storage in Muskingum Method of Routing

LaTeX Go Change in Storage Volumes = Constant K*(Coefficient x in the Equation*(Inflow at the End of Time Interval-Inflow at the Beginning of Time Interval)+(1-Coefficient x in the Equation)*(Outflow at the End of Time Interval-Outflow at the Beginning of Time Interval))

Muskingum Equation

LaTeX Go Change in Storage Volumes = Constant K*(Coefficient x in the Equation*Inflow Rate+(1-Coefficient x in the Equation)*Outflow Rate)

Muskingum Equation Formula

LaTeX Go

Change in Storage Volumes = Constant K*(Coefficient x in the Equation*Inflow Rate+(1-Coefficient x in the Equation)*Outflow Rate)
ΔSv = K*(x*I+(1-x)*Q)

What is Routing in Civil Engineering and Reserve Routing?

In Hydrology, Routing is a technique used to predict the changes in the shape of a hydrograph as water moves through a river channel or a reservoir. If the water flow at a particular point, A, in a stream is measured over time with a flow gauge, this information can be used to create a hydrograph.
Reservoir routing involves the application of the continuity equation to a storage facility in which the storage volume for a particular geometry is dependent only on the outflow.

What is Muskingum Routing?

The Muskingum routing procedure is used for systems that have Storage - Discharge relationships that are hysteretic. That is, for systems for which the outflow is not a unique function of storage.

How to Calculate Muskingum Equation?

Muskingum Equation calculator uses Change in Storage Volumes = Constant K*(Coefficient x in the Equation*Inflow Rate+(1-Coefficient x in the Equation)*Outflow Rate) to calculate the Change in Storage Volumes, The Muskingum Equation formula is defined as the hydrological flow routing model with lumped parameters, which describes the transformation of discharge waves in a riverbed using two equations. Change in Storage Volumes is denoted by ΔSv symbol.

How to calculate Muskingum Equation using this online calculator? To use this online calculator for Muskingum Equation, enter Constant K (K), Coefficient x in the Equation (x), Inflow Rate (I) & Outflow Rate (Q) and hit the calculate button. Here is how the Muskingum Equation calculation can be explained with given input values -> 106 = 4*(1.8*28+(1-1.8)*25).

FAQ

What is Muskingum Equation?

The Muskingum Equation formula is defined as the hydrological flow routing model with lumped parameters, which describes the transformation of discharge waves in a riverbed using two equations and is represented as ΔSv = K*(x*I+(1-x)*Q) or Change in Storage Volumes = Constant K*(Coefficient x in the Equation*Inflow Rate+(1-Coefficient x in the Equation)*Outflow Rate). Constant K is for the catchment to be determined by flood hydrograph characteristics of the catchment, Coefficient x in the Equation of maximum intensity of rainfall in general form in the Muskingum Equation is known as the weighing factor, Inflow Rate for a given catchment area is the average volume of incoming water in unit time at any interval of time of the day & Outflow Rate for a given catchment area in any interval of time is the average volume of outgoing water in unit time.

How to calculate Muskingum Equation?

The Muskingum Equation formula is defined as the hydrological flow routing model with lumped parameters, which describes the transformation of discharge waves in a riverbed using two equations is calculated using Change in Storage Volumes = Constant K*(Coefficient x in the Equation*Inflow Rate+(1-Coefficient x in the Equation)*Outflow Rate). To calculate Muskingum Equation, you need Constant K (K), Coefficient x in the Equation (x), Inflow Rate (I) & Outflow Rate (Q). With our tool, you need to enter the respective value for Constant K, Coefficient x in the Equation, Inflow Rate & Outflow Rate and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Change in Storage Volumes?

In this formula, Change in Storage Volumes uses Constant K, Coefficient x in the Equation, Inflow Rate & Outflow Rate. We can use 1 other way(s) to calculate the same, which is/are as follows -

Change in Storage Volumes = Constant K*(Coefficient x in the Equation*(Inflow at the End of Time Interval-Inflow at the Beginning of Time Interval)+(1-Coefficient x in the Equation)*(Outflow at the End of Time Interval-Outflow at the Beginning of Time Interval))

Home

FREE PDFs

🔍 Search