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Outflow in Third Reservoir Formula

GoOutflow in First Reservoir Formula

GoOutflow in Second Reservoir Formula

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Outflow in the Reservoir is the amount of water discharged in the reservoir for the n reservoir where n can be 1,2 or 3. Check FAQs

Q n = (\frac{1}{2}) \cdot (\frac{1}{K^{3}}) \cdot ({Δt}^{2}) \cdot \exp (- \frac{Δt}{K})

Q_n - Outflow in the Reservoir?K - Constant K?Δt - Time Interval?

Outflow in Third Reservoir Example

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Here is how the Outflow in Third Reservoir equation looks like with Values.

Here is how the Outflow in Third Reservoir equation looks like with Units.

Here is how the Outflow in Third Reservoir equation looks like.

0.056 = (\frac{1}{2}) \cdot (\frac{1}{4^{3}}) \cdot (5^{2}) \cdot \exp (- \frac{5}{4})

0.056m³/s = (\frac{1}{2}) \cdot (\frac{1}{4^{3}}) \cdot ({5s}^{2}) \cdot \exp (- \frac{5s}{4})

0.056 = (\frac{1}{2}) \cdot (\frac{1}{4^{3}}) \cdot (5^{2}) \cdot \exp (- \frac{5}{4})

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Outflow in Third Reservoir Solution

Follow our step by step solution on how to calculate Outflow in Third Reservoir?

FIRST Step Consider the formula

Q n = (\frac{1}{2}) \cdot (\frac{1}{K^{3}}) \cdot ({Δt}^{2}) \cdot \exp (- \frac{Δt}{K})

Next Step Substitute values of Variables

∴

Q n = (\frac{1}{2}) \cdot (\frac{1}{4^{3}}) \cdot ({5s}^{2}) \cdot \exp (- \frac{5s}{4})

Next Step Prepare to Evaluate

∴

Q n = (\frac{1}{2}) \cdot (\frac{1}{4^{3}}) \cdot (5^{2}) \cdot \exp (- \frac{5}{4})

Next Step Evaluate

∴

Q n = 0.0559579681367559m³/s

LAST Step Rounding Answer

∴

Q n = 0.056m³/s

Outflow in Third Reservoir Formula Elements

Variables

Functions

Outflow in the Reservoir

Outflow in the Reservoir is the amount of water discharged in the reservoir for the n reservoir where n can be 1,2 or 3.

Symbol: Q_n

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Outflow in the Reservoir

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

Time Interval

Time Interval is the amount of time required for the change from the initial to the final state.

Symbol: Δt

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time Interval

exp

n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable.

Syntax: exp(Number)

Other Formulas to find Outflow in the Reservoir

Go Outflow in First Reservoir

Q n = (\frac{1}{K}) \cdot \exp (- \frac{Δt}{K})

Go Outflow in Second Reservoir

Q n = (\frac{1}{K^{2}}) \cdot Δt \cdot \exp (- \frac{Δt}{K})

Go Outflow in nth Reservoir

Q n = (\frac{1}{((n - 1)!) \cdot (K^{n})}) \cdot ({Δt}^{n - 1}) \cdot \exp (- \frac{Δt}{n})

Other formulas in Nash's Conceptual Model category

Go Equation for Inflow from Continuity Equation

I = K \cdot R dq/dt + Q

Go Ordinates of Instantaneous Unit Hydrograph representing IUH of Catchment

U t = (\frac{1}{((n - 1)!) \cdot (K^{n})}) \cdot ({Δt}^{n - 1}) \cdot \exp (- \frac{Δt}{n})

How to Evaluate Outflow in Third Reservoir?

Outflow in Third Reservoir evaluator uses Outflow in the Reservoir = (1/2)*(1/Constant K^3)*(Time Interval^2)*exp(-Time Interval/Constant K) to evaluate the Outflow in the Reservoir, The Outflow in Third Reservoir formula is defined as the discharge away from the unit which includes groundwater discharge to surface water bodies, evapotranspiration, pumping, spring flow, discharge through seepage faces along hillslopes, and any other losses of water from the system. Outflow in the Reservoir is denoted by Q_n symbol.

How to evaluate Outflow in Third Reservoir using this online evaluator? To use this online evaluator for Outflow in Third Reservoir, enter Constant K (K) & Time Interval (Δt) and hit the calculate button.

FAQs on Outflow in Third Reservoir

What is the formula to find Outflow in Third Reservoir?

The formula of Outflow in Third Reservoir is expressed as Outflow in the Reservoir = (1/2)*(1/Constant K^3)*(Time Interval^2)*exp(-Time Interval/Constant K). Here is an example- 0.055958 = (1/2)*(1/4^3)*(5^2)*exp(-5/4).

How to calculate Outflow in Third Reservoir?

With Constant K (K) & Time Interval (Δt) we can find Outflow in Third Reservoir using the formula - Outflow in the Reservoir = (1/2)*(1/Constant K^3)*(Time Interval^2)*exp(-Time Interval/Constant K). This formula also uses Exponential Growth (exp) function(s).

What are the other ways to Calculate Outflow in the Reservoir?

Here are the different ways to Calculate Outflow in the Reservoir-

Outflow in the Reservoir=(1/Constant K)*exp(-Time Interval/Constant K)
Outflow in the Reservoir=(1/Constant K^2)*Time Interval*exp(-Time Interval/Constant K)
Outflow in the Reservoir=(1/(((Constant n-1)!)*(Constant K^Constant n)))*(Time Interval^(Constant n-1))*exp(-Time Interval/Constant n)

Can the Outflow in Third Reservoir be negative?

Yes, the Outflow in Third Reservoir, measured in Volumetric Flow Rate can be negative.

Which unit is used to measure Outflow in Third Reservoir?

Outflow in Third Reservoir 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 Outflow in Third Reservoir can be measured.

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