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Storage at the End of Time Interval is the amount of water stored in reservoirs within the system of hydrological cycle at the end of the time. Check FAQs
S2=K⋅(x⋅(I2-I1)+(1-x)⋅(Q2-Q1))+S1
S2 - Storage at the End of Time Interval?K - Constant K?x - Coefficient x in the Equation?I2 - Inflow at the End of Time Interval?I1 - Inflow at the Beginning of Time Interval?Q2 - Outflow at the End of Time Interval?Q1 - Outflow at the Beginning of Time Interval?S1 - Storage at the Beginning of Time Interval?

Storage during end of time interval in Muskingum method of Routing Example

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With units
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Here is how the Storage during end of time interval in Muskingum method of Routing equation looks like with Values.

Here is how the Storage during end of time interval in Muskingum method of Routing equation looks like with Units.

Here is how the Storage during end of time interval in Muskingum method of Routing equation looks like.

35.8Edit=4Edit⋅(1.8Edit⋅(65Edit-55Edit)+(1-1.8Edit)⋅(64Edit-48Edit))+15Edit
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HomeIcon Home » Category Engineering » Category Civil » Category Engineering Hydrology » fx Storage during end of time interval in Muskingum method of Routing

Storage during end of time interval in Muskingum method of Routing Solution

Follow our step by step solution on how to calculate Storage during end of time interval in Muskingum method of Routing?

FIRST Step Consider the formula
S2=K⋅(x⋅(I2-I1)+(1-x)⋅(Q2-Q1))+S1
Next Step Substitute values of Variables
∴ S2=4⋅(1.8⋅(65m³/s-55m³/s)+(1-1.8)⋅(64m³/s-48m³/s))+15
Next Step Prepare to Evaluate
∴ S2=4⋅(1.8⋅(65-55)+(1-1.8)⋅(64-48))+15
LAST Step Evaluate
∴S2=35.8

Storage during end of time interval in Muskingum method of Routing Formula Elements

Variables
Storage at the End of Time Interval
Storage at the End of Time Interval is the amount of water stored in reservoirs within the system of hydrological cycle at the end of the time.
Symbol: S2
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Storage at the End of Time IntervalOpen Variable
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 KOpen Variable
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 EquationOpen 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
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
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
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
Storage at the Beginning of Time Interval
Storage at the Beginning of Time Interval is the amount of water stored in reservoirs within the system of the hydrological cycle at the start of the time. Make Validation type greater than zero.
Symbol: S1
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Storage at the Beginning of Time IntervalOpen Variable

Other Formulas to find Storage at the End of Time Interval

​Go Storage during End of Time Interval in Continuity Equation for Reach
S2=(I2+I12)⋅Δt-(Q2+Q12)⋅Δt+S1

Other formulas in Hydrologic Channel Routing category

​Go Total Wedge Storage in Channel Reach
S=K⋅(x⋅Im+(1-x)⋅Qm)
​Go Equation for Linear Storage or Linear Reservoir
S=K⋅Q

How to Evaluate Storage during end of time interval in Muskingum method of Routing?

Storage during end of time interval in Muskingum method of Routing evaluator uses Storage at the End of Time Interval = 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))+Storage at the Beginning of Time Interval to evaluate the Storage at the End of Time Interval, The Storage during End of Time Interval in Muskingum Method of Routing formula is defined as the storage capacity of the reach where water in the system resides or "rests" as it moves from one water reservoir to another. Storage at the End of Time Interval is denoted by S2 symbol.

How to evaluate Storage during end of time interval in Muskingum method of Routing using this online evaluator? To use this online evaluator for Storage during end of time interval 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) & Storage at the Beginning of Time Interval (S1) and hit the calculate button.

FAQs on Storage during end of time interval in Muskingum method of Routing

What is the formula to find Storage during end of time interval in Muskingum method of Routing?
The formula of Storage during end of time interval in Muskingum method of Routing is expressed as Storage at the End of Time Interval = 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))+Storage at the Beginning of Time Interval. Here is an example- 67 = 4*(1.8*(65-55)+(1-1.8)*(64-48))+15.
How to calculate Storage during end of time interval in Muskingum method of Routing?
With 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) & Storage at the Beginning of Time Interval (S1) we can find Storage during end of time interval in Muskingum method of Routing using the formula - Storage at the End of Time Interval = 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))+Storage at the Beginning of Time Interval.
What are the other ways to Calculate Storage at the End of Time Interval?
Here are the different ways to Calculate Storage at the End of Time Interval-
  • Storage at the End of Time Interval=((Inflow at the End of Time Interval+Inflow at the Beginning of Time Interval)/2)*Time Interval-((Outflow at the End of Time Interval+Outflow at the Beginning of Time Interval)/2)*Time Interval+Storage at the Beginning of Time IntervalOpenImg
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