Outflow in nth Reservoir Calculator

✖Constant n is for the catchment to be determined by the effective rainfall of the catchment.ⓘ Constant n [n]			+10% -10%
✖Constant K is for the catchment to be determined by flood hydrograph characteristics of the catchment.ⓘ Constant K [K]			+10% -10%
✖Time Interval is the amount of time required for the change from the initial to the final state.ⓘ Time Interval [Δt]			+10% -10%

✖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.ⓘ Outflow in nth Reservoir [Q_n]

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Download Clark's Method and Nash Model for IUH (Instantaneous Unit Hydrograph) Formulas PDF PDF Image

Outflow in nth Reservoir Solution

STEP 0: Pre-Calculation Summary

Formula Used

Outflow in the Reservoir = (1/(((Constant n-1)!)*(Constant K^Constant n)))*(Time Interval^(Constant n-1))*exp(-Time Interval/Constant n)
Q_n = (1/(((n-1)!)*(K^n)))*(Δt^(n-1))*exp(-Δt/n)
This formula uses 1 Functions, 4 Variables

Functions Used

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

Variables Used

Outflow in the Reservoir - (Measured in Cubic Meter per Second) - 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.
Constant n - Constant n is for the catchment to be determined by the effective rainfall of the catchment.
Constant K - Constant K is for the catchment to be determined by flood hydrograph characteristics of the catchment.
Time Interval - (Measured in Second) - Time Interval is the amount of time required for the change from the initial to the final state.

STEP 1: Convert Input(s) to Base Unit

Constant n: 3 --> No Conversion Required
Constant K: 4 --> No Conversion Required
Time Interval: 5 Second --> 5 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_n = (1/(((n-1)!)*(K^n)))*(Δt^(n-1))*exp(-Δt/n) --> (1/(((3-1)!)*(4^3)))*(5^(3-1))*exp(-5/3)

Evaluating ... ...

Q_n = 0.0368897661792113

STEP 3: Convert Result to Output's Unit

0.0368897661792113 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

0.0368897661792113 ≈ 0.03689 Cubic Meter per Second <-- Outflow in the Reservoir

(Calculation completed in 00.005 seconds)

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< Nash's Conceptual Model Calculators

Outflow in Third Reservoir

LaTeX Go Outflow in the Reservoir = (1/2)*(1/Constant K^3)*(Time Interval^2)*exp(-Time Interval/Constant K)

Outflow in Second Reservoir

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

Outflow in First Reservoir

LaTeX Go Outflow in the Reservoir = (1/Constant K)*exp(-Time Interval/Constant K)

Equation for Inflow from Continuity Equation

LaTeX Go Inflow Rate = Constant K*Rate of Change of Discharge+Outflow Rate

Outflow in nth Reservoir Formula

LaTeX Go

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

What is Routing in Hydrology?

Routing is a technique used to predict the changes in shape of a hydrograph as water moves through a river channel or a reservoir. In flood forecasting, hydrologists may want to know how a short burst of intense rain in an area upstream of a city will change as it reaches the city.

How to Calculate Outflow in nth Reservoir?

Outflow in nth Reservoir calculator uses Outflow in the Reservoir = (1/(((Constant n-1)!)*(Constant K^Constant n)))*(Time Interval^(Constant n-1))*exp(-Time Interval/Constant n) to calculate 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 calculate Outflow in nth Reservoir using this online calculator? To use this online calculator for Outflow in nth Reservoir, enter Constant n (n), Constant K (K) & Time Interval (Δt) and hit the calculate button. Here is how the Outflow in nth Reservoir calculation can be explained with given input values -> 0.03689 = (1/(((3-1)!)*(4^3)))*(5^(3-1))*exp(-5/3).

FAQ

What is Outflow in nth 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 and is represented as Q_n = (1/(((n-1)!)*(K^n)))*(Δt^(n-1))*exp(-Δt/n) or Outflow in the Reservoir = (1/(((Constant n-1)!)*(Constant K^Constant n)))*(Time Interval^(Constant n-1))*exp(-Time Interval/Constant n). Constant n is for the catchment to be determined by the effective rainfall of the catchment, Constant K is for the catchment to be determined by flood hydrograph characteristics of the catchment & Time Interval is the amount of time required for the change from the initial to the final state.

How to calculate Outflow in nth 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 is calculated using Outflow in the Reservoir = (1/(((Constant n-1)!)*(Constant K^Constant n)))*(Time Interval^(Constant n-1))*exp(-Time Interval/Constant n). To calculate Outflow in nth Reservoir, you need Constant n (n), Constant K (K) & Time Interval (Δt). With our tool, you need to enter the respective value for Constant n, Constant K & Time Interval and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Outflow in the Reservoir?

In this formula, Outflow in the Reservoir uses Constant n, Constant K & Time Interval. We can use 3 other way(s) to calculate the same, which is/are as follows -

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)

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