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Muskingum Equation Formula

GoChange in Storage in Muskingum Method of Routing Formula

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Change in Storage Volumes of water storage bodies on the stream is the difference of water incoming and outgoing. Check FAQs

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

ΔSv - Change in Storage Volumes?K - Constant K?x - Coefficient x in the Equation?I - Inflow Rate?Q - Outflow Rate?

Muskingum Equation Example

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With units

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

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

Here is how the Muskingum Equation equation looks like.

121.6 = 4 \cdot (1.8 \cdot 28 + (1 - 1.8) \cdot 25)

121.6 = 4 \cdot (1.8 \cdot 28m³/s + (1 - 1.8) \cdot 25m³/s)

121.6 = 4 \cdot (1.8 \cdot 28 + (1 - 1.8) \cdot 25)

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Muskingum Equation Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

ΔSv = 4 \cdot (1.8 \cdot 28m³/s + (1 - 1.8) \cdot 25m³/s)

Next Step Prepare to Evaluate

∴

ΔSv = 4 \cdot (1.8 \cdot 28 + (1 - 1.8) \cdot 25)

LAST Step Evaluate

∴

ΔSv = 121.6

Muskingum Equation Formula Elements

Variables

Change in Storage Volumes

Change in Storage Volumes of water storage bodies on the stream is the difference of water incoming and outgoing.

Symbol: ΔSv

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Change in Storage Volumes

Constant K

Constant K is for the catchment to be determined by flood hydrograph characteristics of the catchment.

Symbol: K

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Constant K

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.

Symbol: x

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Coefficient x in the Equation

Inflow Rate

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.

Symbol: I

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Inflow Rate

Outflow Rate

Outflow Rate for a given catchment area in any interval of time is the average volume of outgoing water in unit time.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Outflow Rate

Other Formulas to find Change in Storage Volumes

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))

Other formulas in Muskingum Equation category

Go Muskingum Routing Equation

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

How to Evaluate Muskingum Equation?

Muskingum Equation evaluator uses Change in Storage Volumes = Constant K*(Coefficient x in the Equation*Inflow Rate+(1-Coefficient x in the Equation)*Outflow Rate) to evaluate 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 evaluate Muskingum Equation using this online evaluator? To use this online evaluator for Muskingum Equation, enter Constant K (K), Coefficient x in the Equation (x), Inflow Rate (I) & Outflow Rate (Q) and hit the calculate button.

FAQs on Muskingum Equation

What is the formula to find Muskingum Equation?

The formula of Muskingum Equation is expressed as Change in Storage Volumes = Constant K*(Coefficient x in the Equation*Inflow Rate+(1-Coefficient x in the Equation)*Outflow Rate). Here is an example- 106 = 4*(1.8*28+(1-1.8)*25).

How to calculate Muskingum Equation?

With Constant K (K), Coefficient x in the Equation (x), Inflow Rate (I) & Outflow Rate (Q) we can find Muskingum Equation using the formula - Change in Storage Volumes = Constant K*(Coefficient x in the Equation*Inflow Rate+(1-Coefficient x in the Equation)*Outflow Rate).

What are the other ways to Calculate Change in Storage Volumes?

Here are the different ways to Calculate Change in Storage Volumes-

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))

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Muskingum Equation Formula

​GoChange in Storage in Muskingum Method of Routing Formula

Muskingum Equation Example

Muskingum Equation Solution

Muskingum Equation Formula Elements

Other Formulas to find Change in Storage Volumes

Other formulas in Muskingum Equation category

How to Evaluate Muskingum Equation?

FAQs on Muskingum Equation

Variable Name

GoChange in Storage in Muskingum Method of Routing Formula