Change in Storage in Muskingum Method of Routing 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 at the End of Time Interval is the amount of water entering a body of water at the end of the time.ⓘ Inflow at the End of Time Interval [I₂]			+10% -10%
✖Inflow at the Beginning of Time Interval is the amount of water entering a body of water at the start of the time.ⓘ Inflow at the Beginning of Time Interval [I₁]			+10% -10%
✖Outflow at the End of Time Interval is the removal of water from the hydrological cycle at the end of the time.ⓘ Outflow at the End of Time Interval [Q₂]			+10% -10%
✖Outflow at the Beginning of Time Interval is the removal of water from the hydrological cycle at the start of the time.ⓘ Outflow at the Beginning of Time Interval [Q₁]			+10% -10%

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

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Formula

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Change in Storage in Muskingum Method of Routing

Formula

`"ΔSv" = "K"*("x"*("I"_{"2"}-"I"_{"1"})+(1-"x")*("Q"_{"2"}-"Q"_{"1"}))`

Example

`"20.8"="4"*("1.8"*("65m³/s"-"55m³/s")+(1-"1.8")*("64m³/s"-"48m³/s"))`

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Change in Storage in Muskingum Method of Routing Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
ΔSv = K*(x*(I₂-I₁)+(1-x)*(Q₂-Q₁))
This formula uses 7 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 at the End of Time Interval - (Measured in Cubic Meter per Second) - Inflow at the End of Time Interval is the amount of water entering a body of water at the end of the time.
Inflow at the Beginning of Time Interval - (Measured in Cubic Meter per Second) - Inflow at the Beginning of Time Interval is the amount of water entering a body of water at the start of the time.
Outflow at the End of Time Interval - (Measured in Cubic Meter per Second) - Outflow at the End of Time Interval is the removal of water from the hydrological cycle at the end of the time.
Outflow at the Beginning of Time Interval - (Measured in Cubic Meter per Second) - Outflow at the Beginning of Time Interval is the removal of water from the hydrological cycle at the start of the 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 at the End of Time Interval: 65 Cubic Meter per Second --> 65 Cubic Meter per Second No Conversion Required
Inflow at the Beginning of Time Interval: 55 Cubic Meter per Second --> 55 Cubic Meter per Second No Conversion Required
Outflow at the End of Time Interval: 64 Cubic Meter per Second --> 64 Cubic Meter per Second No Conversion Required
Outflow at the Beginning of Time Interval: 48 Cubic Meter per Second --> 48 Cubic Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ΔSv = K*(x*(I₂-I₁)+(1-x)*(Q₂-Q₁)) --> 4*(1.8*(65-55)+(1-1.8)*(64-48))

Evaluating ... ...

ΔSv = 20.8

STEP 3: Convert Result to Output's Unit

20.8 --> No Conversion Required

FINAL ANSWER

20.8 <-- Change in Storage Volumes

(Calculation completed in 00.004 seconds)

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< 3 Muskingum Equation Calculators

Muskingum Routing Equation

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

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

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

Change in Storage in Muskingum Method of Routing Formula

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 Change in Storage in Muskingum Method of Routing?

Change in Storage in Muskingum Method of Routing calculator uses 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)) to calculate the Change in Storage Volumes, The Change in Storage in Muskingum Method of Routing 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 Change in Storage in Muskingum Method of Routing using this online calculator? To use this online calculator for Change in Storage in Muskingum Method of Routing, enter Constant K (K), Coefficient x in the Equation (x), Inflow at the End of Time Interval (I₂), Inflow at the Beginning of Time Interval (I₁), Outflow at the End of Time Interval (Q₂) & Outflow at the Beginning of Time Interval (Q₁) and hit the calculate button. Here is how the Change in Storage in Muskingum Method of Routing calculation can be explained with given input values -> 52 = 4*(1.8*(65-55)+(1-1.8)*(64-48)).

FAQ

What is Change in Storage in Muskingum Method of Routing?

The Change in Storage in Muskingum Method of Routing 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*(I₂-I₁)+(1-x)*(Q₂-Q₁)) or 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)). 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 at the End of Time Interval is the amount of water entering a body of water at the end of the time, Inflow at the Beginning of Time Interval is the amount of water entering a body of water at the start of the time, Outflow at the End of Time Interval is the removal of water from the hydrological cycle at the end of the time & Outflow at the Beginning of Time Interval is the removal of water from the hydrological cycle at the start of the time.

How to calculate Change in Storage in Muskingum Method of Routing?

The Change in Storage in Muskingum Method of Routing 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 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)). To calculate Change in Storage in Muskingum Method of Routing, you need Constant K (K), Coefficient x in the Equation (x), Inflow at the End of Time Interval (I₂), Inflow at the Beginning of Time Interval (I₁), Outflow at the End of Time Interval (Q₂) & Outflow at the Beginning of Time Interval (Q₁). With our tool, you need to enter the respective value for Constant K, Coefficient x in the Equation, Inflow at the End of Time Interval, Inflow at the Beginning of Time Interval, Outflow at the End of Time Interval & Outflow at the Beginning of Time Interval 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 at the End of Time Interval, Inflow at the Beginning of Time Interval, Outflow at the End of Time Interval & Outflow at the Beginning of Time Interval. 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 Rate+(1-Coefficient x in the Equation)*Outflow Rate)

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