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Ordinates of Instantaneous Unit Hydrograph representing IUH of Catchment Formula

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Ordinates of Unit Hydrograph with respect to time 't'. Check FAQs

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

U_t - Ordinates of Unit Hydrograph?n - Constant n?K - Constant K?Δt - Time Interval?

Ordinates of Instantaneous Unit Hydrograph representing IUH of Catchment Example

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Here is how the Ordinates of Instantaneous Unit Hydrograph representing IUH of Catchment equation looks like with Values.

Here is how the Ordinates of Instantaneous Unit Hydrograph representing IUH of Catchment equation looks like with Units.

Here is how the Ordinates of Instantaneous Unit Hydrograph representing IUH of Catchment equation looks like.

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

0.0369cm/h = (\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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Ordinates of Instantaneous Unit Hydrograph representing IUH of Catchment Solution

Follow our step by step solution on how to calculate Ordinates of Instantaneous Unit Hydrograph representing IUH of Catchment?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

U t = 1.02471572720031E-07m/s

Next Step Convert to Output's Unit

∴

U t = 0.0368897661792113cm/h

LAST Step Rounding Answer

∴

U t = 0.0369cm/h

Ordinates of Instantaneous Unit Hydrograph representing IUH of Catchment Formula Elements

Variables

Functions

Ordinates of Unit Hydrograph

Ordinates of Unit Hydrograph with respect to time 't'.

Symbol: U_t

Measurement: SpeedUnit: cm/h

Note: Value should be greater than 0.

Formulas to find Ordinates of Unit Hydrograph

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 in Nash's Conceptual Model category

Go Equation for Inflow from Continuity Equation

I = K \cdot R dq/dt + Q

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})

How to Evaluate Ordinates of Instantaneous Unit Hydrograph representing IUH of Catchment?

Ordinates of Instantaneous Unit Hydrograph representing IUH of Catchment evaluator uses Ordinates of Unit Hydrograph = (1/(((Constant n-1)!)*(Constant K^Constant n)))*(Time Interval^(Constant n-1))*exp(-Time Interval/Constant n) to evaluate the Ordinates of Unit Hydrograph, The Ordinates of Instantaneous Unit Hydrograph representing IUH of Catchment formula is defined as the hydrograph of direct runoff resulting from a unit depth of effective rainfall generated uniformly over watershed in an infinitesimally small period. Ordinates of Unit Hydrograph is denoted by U_t symbol.

How to evaluate Ordinates of Instantaneous Unit Hydrograph representing IUH of Catchment using this online evaluator? To use this online evaluator for Ordinates of Instantaneous Unit Hydrograph representing IUH of Catchment, enter Constant n (n), Constant K (K) & Time Interval (Δt) and hit the calculate button.

FAQs on Ordinates of Instantaneous Unit Hydrograph representing IUH of Catchment

What is the formula to find Ordinates of Instantaneous Unit Hydrograph representing IUH of Catchment?

The formula of Ordinates of Instantaneous Unit Hydrograph representing IUH of Catchment is expressed as Ordinates of Unit Hydrograph = (1/(((Constant n-1)!)*(Constant K^Constant n)))*(Time Interval^(Constant n-1))*exp(-Time Interval/Constant n). Here is an example- 13280.32 = (1/(((3-1)!)*(4^3)))*(5^(3-1))*exp(-5/3).

How to calculate Ordinates of Instantaneous Unit Hydrograph representing IUH of Catchment?

With Constant n (n), Constant K (K) & Time Interval (Δt) we can find Ordinates of Instantaneous Unit Hydrograph representing IUH of Catchment using the formula - Ordinates of Unit Hydrograph = (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).

Can the Ordinates of Instantaneous Unit Hydrograph representing IUH of Catchment be negative?

No, the Ordinates of Instantaneous Unit Hydrograph representing IUH of Catchment, measured in Speed cannot be negative.

Which unit is used to measure Ordinates of Instantaneous Unit Hydrograph representing IUH of Catchment?

Ordinates of Instantaneous Unit Hydrograph representing IUH of Catchment is usually measured using the Centimeter per Hour[cm/h] for Speed. Meter per Second[cm/h], Meter per Minute[cm/h], Meter per Hour[cm/h] are the few other units in which Ordinates of Instantaneous Unit Hydrograph representing IUH of Catchment can be measured.

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Ordinates of Instantaneous Unit Hydrograph representing IUH of Catchment Formula

Ordinates of Instantaneous Unit Hydrograph representing IUH of Catchment Example

Ordinates of Instantaneous Unit Hydrograph representing IUH of Catchment Solution

Ordinates of Instantaneous Unit Hydrograph representing IUH of Catchment Formula Elements

Other formulas in Nash's Conceptual Model category

How to Evaluate Ordinates of Instantaneous Unit Hydrograph representing IUH of Catchment?

FAQs on Ordinates of Instantaneous Unit Hydrograph representing IUH of Catchment

Variable Name