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Muskingum Routing Equation Formula

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Outflow at the End of Time Interval is the removal of water from the hydrological cycle at the end of the time. Check FAQs
Q2=Co⋅I2+C1⋅I1+C2⋅Q1
Q2 - Outflow at the End of Time Interval?Co - Coefficient Co in Muskingum Method of Routing?I2 - Inflow at the End of Time Interval?C1 - Coefficient C1 in Muskingum Method of Routing?I1 - Inflow at the Beginning of Time Interval?C2 - Coefficient C2 in Muskingum Method of Routing?Q1 - Outflow at the Beginning of Time Interval?

Muskingum Routing Equation Example

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With units
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Here is how the Muskingum Routing Equation equation looks like with Values.

Here is how the Muskingum Routing Equation equation looks like with Units.

Here is how the Muskingum Routing Equation equation looks like.

51.819Edit=0.048Edit⋅65Edit+0.429Edit⋅55Edit+0.523Edit⋅48Edit
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Muskingum Routing Equation Solution

Follow our step by step solution on how to calculate Muskingum Routing Equation?

FIRST Step Consider the formula
Q2=Co⋅I2+C1⋅I1+C2⋅Q1
Next Step Substitute values of Variables
∴ Q2=0.048⋅65m³/s+0.429⋅55m³/s+0.523⋅48m³/s
Next Step Prepare to Evaluate
∴ Q2=0.048⋅65+0.429⋅55+0.523⋅48
LAST Step Evaluate
∴Q2=51.819m³/s

Muskingum Routing Equation Formula Elements

Variables
Outflow at the End of Time Interval
Outflow at the End of Time Interval is the removal of water from the hydrological cycle at the end of the time.
Symbol: Q2
Measurement: Volumetric Flow RateUnit: m³/s
Note: Value should be greater than 0.
Formulas to find Outflow at the End of Time IntervalOpen Variable
Coefficient Co in Muskingum Method of Routing
Coefficient Co in Muskingum Method of Routing, a hydrological flow routing model with lumped parameters.
Symbol: Co
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Formulas to find Coefficient Co in Muskingum Method of RoutingOpen Variable
Inflow at the End of Time Interval
Inflow at the End of Time Interval is the amount of water entering a body of water at the end of the time.
Symbol: I2
Measurement: Volumetric Flow RateUnit: m³/s
Note: Value should be greater than 0.
Formulas to find Inflow at the End of Time IntervalOpen Variable
Coefficient C1 in Muskingum Method of Routing
Coefficient C1 in Muskingum Method of Routing, a hydrological flow routing model with lumped parameters.
Symbol: C1
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Formulas to find Coefficient C1 in Muskingum Method of RoutingOpen Variable
Inflow at the Beginning of Time Interval
Inflow at the Beginning of Time Interval is the amount of water entering a body of water at the start of the time.
Symbol: I1
Measurement: Volumetric Flow RateUnit: m³/s
Note: Value should be greater than 0.
Formulas to find Inflow at the Beginning of Time IntervalOpen Variable
Coefficient C2 in Muskingum Method of Routing
Coefficient C2 in Muskingum Method of Routing, a hydrological flow routing model with lumped parameters.
Symbol: C2
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Formulas to find Coefficient C2 in Muskingum Method of RoutingOpen Variable
Outflow at the Beginning of Time Interval
Outflow at the Beginning of Time Interval is the removal of water from the hydrological cycle at the start of the time.
Symbol: Q1
Measurement: Volumetric Flow RateUnit: m³/s
Note: Value should be greater than 0.
Formulas to find Outflow at the Beginning of Time IntervalOpen Variable

Other formulas in Muskingum Equation category

​Go Muskingum Equation
ΔSv=K⋅(x⋅I+(1-x)⋅Q)
​Go Change in Storage in Muskingum Method of Routing
ΔSv=K⋅(x⋅(I2-I1)+(1-x)⋅(Q2-Q1))

How to Evaluate Muskingum Routing Equation?

Muskingum Routing Equation evaluator 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 evaluate 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 evaluate Muskingum Routing Equation using this online evaluator? To use this online evaluator for Muskingum Routing Equation, enter Coefficient Co in Muskingum Method of Routing (Co), 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.

FAQs on Muskingum Routing Equation

What is the formula to find Muskingum Routing Equation?
The formula of Muskingum Routing Equation is expressed as 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. Here is an example- 63.701 = 0.048*65+0.429*55+0.523*48.
How to calculate Muskingum Routing Equation?
With Coefficient Co in Muskingum Method of Routing (Co), 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) we can find Muskingum Routing Equation using the formula - 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.
Can the Muskingum Routing Equation be negative?
No, the Muskingum Routing Equation, measured in Volumetric Flow Rate cannot be negative.
Which unit is used to measure Muskingum Routing Equation?
Muskingum Routing Equation is usually measured using the Cubic Meter per Second[m³/s] for Volumetric Flow Rate. Cubic Meter per Day[m³/s], Cubic Meter per Hour[m³/s], Cubic Meter per Minute[m³/s] are the few other units in which Muskingum Routing Equation can be measured.
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