Flood Discharge in FPS Unit by Fuller's Formula Calculator

✖Constant FPS unit is used and depend upon catchment.ⓘ Constant FPS [C₁]			+10% -10%
✖Area of Basin which is also known as catchment area.ⓘ Area of Basin [A₁]			+10% -10%
✖Time in minutes is a unit of time equal to 60 seconds or 1/60th of an hour.ⓘ Time in minutes [T_m]			+10% -10%

✖Discharge in cusecs is defined as the volumetric flow rate in F.P.S unit.ⓘ Flood Discharge in FPS Unit by Fuller's Formula [Q₁]

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Flood Discharge in FPS Unit by Fuller's Formula

Formula

`"Q"_{"1"} = "C"_{"1"}*(("A"_{"1"})^(0.8))*(1+0.8*log("T"_{"m"},e))*(1+2*("A"_{"1"})^(-0.2))`

Example

`"0.791526ft³/s"="0.18"*(("2mi²")^(0.8))*(1+0.8*log("20min",e))*(1+2*("2mi²")^(-0.2))`

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Flood Discharge in FPS Unit by Fuller's Formula Solution

STEP 0: Pre-Calculation Summary

Formula Used

Discharge in cusecs = Constant FPS*((Area of Basin)^(0.8))*(1+0.8*log(Time in minutes,e))*(1+2*(Area of Basin)^(-0.2))
Q₁ = C₁*((A₁)^(0.8))*(1+0.8*log(T_m,e))*(1+2*(A₁)^(-0.2))
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

e - Napier's constant Value Taken As 2.71828182845904523536028747135266249

Functions Used

log - Logarithmic function is an inverse function to exponentiation., log(Base, Number)

Variables Used

Discharge in cusecs - (Measured in Cubic Foot per Second) - Discharge in cusecs is defined as the volumetric flow rate in F.P.S unit.
Constant FPS - Constant FPS unit is used and depend upon catchment.
Area of Basin - (Measured in Square Mile (US Survey)) - Area of Basin which is also known as catchment area.
Time in minutes - (Measured in Year) - Time in minutes is a unit of time equal to 60 seconds or 1/60th of an hour.

STEP 1: Convert Input(s) to Base Unit

Constant FPS: 0.18 --> No Conversion Required
Area of Basin: 2 Square Mile --> 1.99999168139105 Square Mile (US Survey) (Check conversion here)
Time in minutes: 20 Minute --> 3.80264862081737E-05 Year (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q₁ = C₁*((A₁)^(0.8))*(1+0.8*log(T_m,e))*(1+2*(A₁)^(-0.2)) --> 0.18*((1.99999168139105)^(0.8))*(1+0.8*log(3.80264862081737E-05,e))*(1+2*(1.99999168139105)^(-0.2))

Evaluating ... ...

Q₁ = 0.791526235592219

STEP 3: Convert Result to Output's Unit

0.0224135269870771 Cubic Meter per Second -->0.79152623559222 Cubic Foot per Second (Check conversion here)

FINAL ANSWER

0.79152623559222 ≈ 0.791526 Cubic Foot per Second <-- Discharge in cusecs

(Calculation completed in 00.020 seconds)

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< 4 Fuller's Formula Calculators

Constant used in Metric Unit given Flood Discharge by Fuller's Formula

Go Constant Metric Unit = (Discharge/(((Catchment Area for Flood Discharge)^(0.8))*(1+0.8*log(Time in minutes,e))*(1+2.67*(Catchment Area for Flood Discharge)^(-0.3))))

Flood Discharge by Fuller's Formula

Go Discharge = Constant Metric Unit*((Catchment Area for Flood Discharge)^(0.8))*(1+0.8*log(Time in minutes,e))*(1+2.67*(Catchment Area for Flood Discharge)^(-0.3))

Constant used in FPS Unit given Flood Discharge by Fuller's Formula

Go Constant FPS = (Discharge in cusecs/(((Area of Basin)^(0.8))*(1+0.8*log(Time in minutes,e))*(1+2*(Area of Basin)^(-0.2))))

Flood Discharge in FPS Unit by Fuller's Formula

Go Discharge in cusecs = Constant FPS*((Area of Basin)^(0.8))*(1+0.8*log(Time in minutes,e))*(1+2*(Area of Basin)^(-0.2))

Flood Discharge in FPS Unit by Fuller's Formula Formula

Discharge in cusecs = Constant FPS*((Area of Basin)^(0.8))*(1+0.8*log(Time in minutes,e))*(1+2*(Area of Basin)^(-0.2))
Q₁ = C₁*((A₁)^(0.8))*(1+0.8*log(T_m,e))*(1+2*(A₁)^(-0.2))

What is Flood Discharge ?

Discharge is the volume of water that passes through a given cross section per unit time, usually measured in cubic feet per second (cfs) or cubic meters per second (cms). Stage is the level of the water surface over a datum (often sea level).

How to Calculate Flood Discharge in FPS Unit by Fuller's Formula?

Flood Discharge in FPS Unit by Fuller's Formula calculator uses Discharge in cusecs = Constant FPS*((Area of Basin)^(0.8))*(1+0.8*log(Time in minutes,e))*(1+2*(Area of Basin)^(-0.2)) to calculate the Discharge in cusecs, The Flood Discharge in FPS Unit by Fuller's Formula is defined as the value of flood discharge when we have prior information of other parameters used. Discharge in cusecs is denoted by Q₁ symbol.

How to calculate Flood Discharge in FPS Unit by Fuller's Formula using this online calculator? To use this online calculator for Flood Discharge in FPS Unit by Fuller's Formula, enter Constant FPS (C₁), Area of Basin (A₁) & Time in minutes (T_m) and hit the calculate button. Here is how the Flood Discharge in FPS Unit by Fuller's Formula calculation can be explained with given input values -> 27.95249 = 0.18*((5179976.220672)^(0.8))*(1+0.8*log(1200,e))*(1+2*(5179976.220672)^(-0.2)).

FAQ

What is Flood Discharge in FPS Unit by Fuller's Formula?

The Flood Discharge in FPS Unit by Fuller's Formula is defined as the value of flood discharge when we have prior information of other parameters used and is represented as Q₁ = C₁*((A₁)^(0.8))*(1+0.8*log(T_m,e))*(1+2*(A₁)^(-0.2)) or Discharge in cusecs = Constant FPS*((Area of Basin)^(0.8))*(1+0.8*log(Time in minutes,e))*(1+2*(Area of Basin)^(-0.2)). Constant FPS unit is used and depend upon catchment, Area of Basin which is also known as catchment area & Time in minutes is a unit of time equal to 60 seconds or 1/60th of an hour.

How to calculate Flood Discharge in FPS Unit by Fuller's Formula?

The Flood Discharge in FPS Unit by Fuller's Formula is defined as the value of flood discharge when we have prior information of other parameters used is calculated using Discharge in cusecs = Constant FPS*((Area of Basin)^(0.8))*(1+0.8*log(Time in minutes,e))*(1+2*(Area of Basin)^(-0.2)). To calculate Flood Discharge in FPS Unit by Fuller's Formula, you need Constant FPS (C₁), Area of Basin (A₁) & Time in minutes (T_m). With our tool, you need to enter the respective value for Constant FPS, Area of Basin & Time in minutes and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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