Muskingum Routing Equation Calculator

✖Coefficient Co in Muskingum Method of Routing, a hydrological flow routing model with lumped parameters.ⓘ Coefficient Co in Muskingum Method of Routing [C_o]			+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%
✖Coefficient C1 in Muskingum Method of Routing, a hydrological flow routing model with lumped parameters.ⓘ Coefficient C1 in Muskingum Method of Routing [C₁]			+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%
✖Coefficient C2 in Muskingum Method of Routing, a hydrological flow routing model with lumped parameters.ⓘ Coefficient C2 in Muskingum Method of Routing [C₂]			+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%

✖Outflow at the End of Time Interval is the removal of water from the hydrological cycle at the end of the time.ⓘ Muskingum Routing Equation [Q₂]

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Formula

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Muskingum Routing Equation

Formula

`"Q"_{"2"} = "C"_{"o"}*"I"_{"2"}+"C"_{"1"}*"I"_{"1"}+"C"_{"2"}*"Q"_{"1"}`

Example

`"51.819m³/s"="0.048"*"65m³/s"+"0.429"*"55m³/s"+"0.523"*"48m³/s"`

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Muskingum Routing Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
Q₂ = C_o*I₂+C₁*I₁+C₂*Q₁
This formula uses 7 Variables

Variables Used

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.
Coefficient Co in Muskingum Method of Routing - Coefficient Co in Muskingum Method of Routing, a hydrological flow routing model with lumped parameters.
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.
Coefficient C1 in Muskingum Method of Routing - Coefficient C1 in Muskingum Method of Routing, a hydrological flow routing model with lumped parameters.
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.
Coefficient C2 in Muskingum Method of Routing - Coefficient C2 in Muskingum Method of Routing, a hydrological flow routing model with lumped parameters.
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

Coefficient Co in Muskingum Method of Routing: 0.048 --> No Conversion Required
Inflow at the End of Time Interval: 65 Cubic Meter per Second --> 65 Cubic Meter per Second No Conversion Required
Coefficient C1 in Muskingum Method of Routing: 0.429 --> No Conversion Required
Inflow at the Beginning of Time Interval: 55 Cubic Meter per Second --> 55 Cubic Meter per Second No Conversion Required
Coefficient C2 in Muskingum Method of Routing: 0.523 --> 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

Q₂ = C_o*I₂+C₁*I₁+C₂*Q₁ --> 0.048*65+0.429*55+0.523*48

Evaluating ... ...

Q₂ = 51.819

STEP 3: Convert Result to Output's Unit

51.819 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

51.819 Cubic Meter per Second <-- Outflow at the End of Time Interval

(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)

Muskingum Routing Equation 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 Muskingum Routing Equation?

Muskingum Routing Equation calculator uses 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 to calculate the Outflow at the End of Time Interval, The Muskingum Routing Equation formula is defined as the systems that have storage-discharge relationships that are hysteretic. That is, for systems for which the outflow is not a unique function of storage. Outflow at the End of Time Interval is denoted by Q₂ symbol.

How to calculate Muskingum Routing Equation using this online calculator? To use this online calculator for Muskingum Routing Equation, enter Coefficient Co in Muskingum Method of Routing (C_o), Inflow at the End of Time Interval (I₂), Coefficient C1 in Muskingum Method of Routing (C₁), Inflow at the Beginning of Time Interval (I₁), Coefficient C2 in Muskingum Method of Routing (C₂) & Outflow at the Beginning of Time Interval (Q₁) and hit the calculate button. Here is how the Muskingum Routing Equation calculation can be explained with given input values -> 63.701 = 0.048*65+0.429*55+0.523*48.

FAQ

What is Muskingum Routing Equation?

The Muskingum Routing Equation formula is defined as the systems that have storage-discharge relationships that are hysteretic. That is, for systems for which the outflow is not a unique function of storage and is represented as Q₂ = C_o*I₂+C₁*I₁+C₂*Q₁ or 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. Coefficient Co in Muskingum Method of Routing, a hydrological flow routing model with lumped parameters, Inflow at the End of Time Interval is the amount of water entering a body of water at the end of the time, Coefficient C1 in Muskingum Method of Routing, a hydrological flow routing model with lumped parameters, Inflow at the Beginning of Time Interval is the amount of water entering a body of water at the start of the time, Coefficient C2 in Muskingum Method of Routing, a hydrological flow routing model with lumped parameters & 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 Muskingum Routing Equation?

The Muskingum Routing Equation formula is defined as the systems that have storage-discharge relationships that are hysteretic. That is, for systems for which the outflow is not a unique function of storage is calculated using 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. To calculate Muskingum Routing Equation, you need Coefficient Co in Muskingum Method of Routing (C_o), Inflow at the End of Time Interval (I₂), Coefficient C1 in Muskingum Method of Routing (C₁), Inflow at the Beginning of Time Interval (I₁), Coefficient C2 in Muskingum Method of Routing (C₂) & Outflow at the Beginning of Time Interval (Q₁). With our tool, you need to enter the respective value for 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 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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