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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

Q 2 = C o \cdot I 2 + C 1 \cdot I 1 + C 2 \cdot Q 1

Q₂ - Outflow at the End of Time Interval?C_o - 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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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.

51.819 = 0.048 \cdot 65 + 0.429 \cdot 55 + 0.523 \cdot 48

51.819m³/s = 0.048 \cdot 65m³/s + 0.429 \cdot 55m³/s + 0.523 \cdot 48m³/s

51.819 = 0.048 \cdot 65 + 0.429 \cdot 55 + 0.523 \cdot 48

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Home » Engineering » Civil » Engineering Hydrology » Muskingum Routing Equation

Muskingum Routing Equation Solution

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

FIRST Step Consider the formula

Q 2 = C o \cdot I 2 + C 1 \cdot I 1 + C 2 \cdot Q 1

Next Step Substitute values of Variables

∴

Q 2 = 0.048 \cdot 65m³/s + 0.429 \cdot 55m³/s + 0.523 \cdot 48m³/s

Next Step Prepare to Evaluate

∴

Q 2 = 0.048 \cdot 65 + 0.429 \cdot 55 + 0.523 \cdot 48

LAST Step Evaluate

∴

Q 2 = 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.

Coefficient Co in Muskingum Method of Routing

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

Symbol: C_o

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

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.

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.

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.

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.

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.

Credits

Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Formula and 2000+ more formulas!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has verified this Formula and 1700+ more formulas!

Other formulas in Muskingum Equation category

Go Muskingum Equation

ΔSv = K \cdot (x \cdot I + (1 - x) \cdot Q)

Go Change in Storage in Muskingum Method of Routing

ΔSv = K \cdot (x \cdot (I 2 - I 1) + (1 - x) \cdot (Q 2 - Q 1))

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 (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.

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 (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) 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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Muskingum Routing Equation Formula

Muskingum Routing Equation Example

Muskingum Routing Equation Solution

Muskingum Routing Equation Formula Elements

Credits

Other formulas in Muskingum Equation category

How to Evaluate Muskingum Routing Equation?

FAQs on Muskingum Routing Equation

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