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Outflow in nth 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}{((n - 1)!) \cdot (K^{n})}) \cdot ({Δt}^{n - 1}) \cdot \exp (- \frac{Δt}{n})

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

Outflow in nth Reservoir Example

With values

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

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

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

0.0369 = (\frac{1}{((3 - 1)!) \cdot (4^{3})}) \cdot (5^{3 - 1}) \cdot \exp (- \frac{5}{3})

0.0369m³/s = (\frac{1}{((3 - 1)!) \cdot (4^{3})}) \cdot ({5s}^{3 - 1}) \cdot \exp (- \frac{5s}{3})

0.0369 = (\frac{1}{((3 - 1)!) \cdot (4^{3})}) \cdot (5^{3 - 1}) \cdot \exp (- \frac{5}{3})

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Outflow in nth Reservoir Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

Q n = 0.0368897661792113m³/s

LAST Step Rounding Answer

∴

Q n = 0.0369m³/s

Outflow in nth 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 n

Constant n is for the catchment to be determined by the effective rainfall of the catchment.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Constant n

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 Third Reservoir

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

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 nth Reservoir?

Outflow in nth Reservoir evaluator uses Outflow in the Reservoir = (1/(((Constant n-1)!)*(Constant K^Constant n)))*(Time Interval^(Constant n-1))*exp(-Time Interval/Constant n) to evaluate the Outflow in the Reservoir, The Outflow in nth 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 nth Reservoir using this online evaluator? To use this online evaluator for Outflow in nth Reservoir, enter Constant n (n), Constant K (K) & Time Interval (Δt) and hit the calculate button.

FAQs on Outflow in nth Reservoir

What is the formula to find Outflow in nth Reservoir?

The formula of Outflow in nth Reservoir is expressed as Outflow in the Reservoir = (1/(((Constant n-1)!)*(Constant K^Constant n)))*(Time Interval^(Constant n-1))*exp(-Time Interval/Constant n). Here is an example- 0.03689 = (1/(((3-1)!)*(4^3)))*(5^(3-1))*exp(-5/3).

How to calculate Outflow in nth Reservoir?

With Constant n (n), Constant K (K) & Time Interval (Δt) we can find Outflow in nth Reservoir using the formula - Outflow in the Reservoir = (1/(((Constant n-1)!)*(Constant K^Constant n)))*(Time Interval^(Constant n-1))*exp(-Time Interval/Constant n). 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=(1/2)*(1/Constant K^3)*(Time Interval^2)*exp(-Time Interval/Constant K)

Can the Outflow in nth Reservoir be negative?

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

Which unit is used to measure Outflow in nth Reservoir?

Outflow in nth 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 nth Reservoir can be measured.

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Outflow in nth Reservoir Formula

​GoOutflow in First Reservoir Formula

​GoOutflow in Second Reservoir Formula

Outflow in nth Reservoir Example

Outflow in nth Reservoir Solution

Outflow in nth Reservoir Formula Elements

Other Formulas to find Outflow in the Reservoir

Other formulas in Nash's Conceptual Model category

How to Evaluate Outflow in nth Reservoir?

FAQs on Outflow in nth Reservoir

Variable Name

GoOutflow in First Reservoir Formula

GoOutflow in Second Reservoir Formula