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Storage in Beginning of Time Interval Formula

GoStorage during Beginning of Time Interval for Continuity Equation of Reach Formula

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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. Check FAQs

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

S₁ - Storage at the Beginning of Time Interval?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?

Storage in Beginning of Time Interval Example

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Here is how the Storage in Beginning of Time Interval equation looks like.

14.2 = 35 - (4 \cdot (1.8 \cdot (65 - 55) + (1 - 1.8) \cdot (64 - 48)))

14.2 = 35 - (4 \cdot (1.8 \cdot (65m³/s - 55m³/s) + (1 - 1.8) \cdot (64m³/s - 48m³/s)))

14.2 = 35 - (4 \cdot (1.8 \cdot (65 - 55) + (1 - 1.8) \cdot (64 - 48)))

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Storage in Beginning of Time Interval Solution

Follow our step by step solution on how to calculate Storage in Beginning of Time Interval?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S 1 = 35 - (4 \cdot (1.8 \cdot (65m³/s - 55m³/s) + (1 - 1.8) \cdot (64m³/s - 48m³/s)))

Next Step Prepare to Evaluate

∴

S 1 = 35 - (4 \cdot (1.8 \cdot (65 - 55) + (1 - 1.8) \cdot (64 - 48)))

LAST Step Evaluate

∴

S 1 = 14.2

Storage in Beginning of Time Interval Formula Elements

Variables

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 Interval

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 Interval

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 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 Interval

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 Interval

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 Interval

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 Interval

Other Formulas to find Storage at the Beginning of Time Interval

Go Storage during Beginning of Time Interval for Continuity Equation of Reach

S 1 = S 2 + (\frac{Q 2 + Q 1}{2}) \cdot Δt - (\frac{I 2 + I 1}{2}) \cdot Δt

Other formulas in Hydrologic Channel Routing category

Go Total Wedge Storage in Channel Reach

S = K \cdot (x \cdot I^{m} + (1 - x) \cdot Q^{m})

Go Equation for Linear Storage or Linear Reservoir

S = K \cdot Q

How to Evaluate Storage in Beginning of Time Interval?

Storage in Beginning of Time Interval evaluator uses Storage at the Beginning of Time Interval = 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))) to evaluate the Storage at the Beginning of Time Interval, The Storage in Beginning of Time Interval formula is defined as the water in the system resides or "rests" as it moves from one water reservoir to another. Storage at the Beginning of Time Interval is denoted by S₁ symbol.

How to evaluate Storage in Beginning of Time Interval using this online evaluator? To use this online evaluator for Storage in Beginning of Time Interval, enter Storage at the End of Time Interval (S₂), 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) and hit the calculate button.

FAQs on Storage in Beginning of Time Interval

What is the formula to find Storage in Beginning of Time Interval?

The formula of Storage in Beginning of Time Interval is expressed as Storage at the Beginning of Time Interval = 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))). Here is an example- -17 = 35-(4*(1.8*(65-55)+(1-1.8)*(64-48))).

How to calculate Storage in Beginning of Time Interval?

With Storage at the End of Time Interval (S₂), 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) we can find Storage in Beginning of Time Interval using the formula - Storage at the Beginning of Time Interval = 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))).

What are the other ways to Calculate Storage at the Beginning of Time Interval?

Here are the different ways to Calculate Storage at the Beginning of Time Interval-

Storage at the Beginning of Time Interval=Storage at the End of Time Interval+((Outflow at the End of Time Interval+Outflow at the Beginning of Time Interval)/2)*Time Interval-((Inflow at the End of Time Interval+Inflow at the Beginning of Time Interval)/2)*Time Interval

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Storage in Beginning of Time Interval Formula

​GoStorage during Beginning of Time Interval for Continuity Equation of Reach Formula

Storage in Beginning of Time Interval Example

Storage in Beginning of Time Interval Solution

Storage in Beginning of Time Interval Formula Elements

Other Formulas to find Storage at the Beginning of Time Interval

Other formulas in Hydrologic Channel Routing category

How to Evaluate Storage in Beginning of Time Interval?

FAQs on Storage in Beginning of Time Interval

Variable Name

GoStorage during Beginning of Time Interval for Continuity Equation of Reach Formula