Flood Discharge by Fuller's Formula Calculator

✖Constant Metric Unit is used and depend upon catchment.ⓘ Constant Metric Unit [C_m]			+10% -10%
✖Catchment Area for Flood Discharge is an area of land where all water flows to a single stream, river, lake or even ocean.ⓘ Catchment Area for Flood Discharge [A_{flood discharge}]			+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 is the rate of flow of a liquid.ⓘ Flood Discharge by Fuller's Formula [Q]

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Flood Discharge by Fuller's Formula

Formula

`"Q" = "C"_{"m"}*(("A"_{"flood discharge"})^(0.8))*(1+0.8*log("T"_{"m"},e))*(1+2.67*("A"_{"flood discharge"})^(-0.3))`

Example

`"3.06978m³/s"="0.5"*(("2.0m²")^(0.8))*(1+0.8*log("20min",e))*(1+2.67*("2.0m²")^(-0.3))`

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Flood Discharge by Fuller's Formula Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
Q = C_m*((A_{flood discharge})^(0.8))*(1+0.8*log(T_m,e))*(1+2.67*(A_{flood discharge})^(-0.3))
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 - (Measured in Cubic Meter per Second) - Discharge is the rate of flow of a liquid.
Constant Metric Unit - Constant Metric Unit is used and depend upon catchment.
Catchment Area for Flood Discharge - (Measured in Square Meter) - Catchment Area for Flood Discharge is an area of land where all water flows to a single stream, river, lake or even ocean.
Time in minutes - (Measured in Second) - 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 Metric Unit: 0.5 --> No Conversion Required
Catchment Area for Flood Discharge: 2 Square Meter --> 2 Square Meter No Conversion Required
Time in minutes: 20 Minute --> 1200 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q = C_m*((A_{flood discharge})^(0.8))*(1+0.8*log(T_m,e))*(1+2.67*(A_{flood discharge})^(-0.3)) --> 0.5*((2)^(0.8))*(1+0.8*log(1200,e))*(1+2.67*(2)^(-0.3))

Evaluating ... ...

Q = 3.06978048144027

STEP 3: Convert Result to Output's Unit

3.06978048144027 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

3.06978048144027 ≈ 3.06978 Cubic Meter per Second <-- Discharge

(Calculation completed in 00.008 seconds)

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Home » Engineering » Civil » Environmental Engineering » Surface Water Hydrology-II » Flood Discharge Formulae » Fuller's Formula » Flood Discharge by Fuller's Formula

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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 by Fuller's Formula Formula

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 by Fuller's Formula?

Flood Discharge by Fuller's Formula calculator uses 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)) to calculate the Discharge, The Flood Discharge by Fuller's Formula calculates the value of the flood discharge when we have prior information of other parameters used. Discharge is denoted by Q symbol.

How to calculate Flood Discharge by Fuller's Formula using this online calculator? To use this online calculator for Flood Discharge by Fuller's Formula, enter Constant Metric Unit (C_m), Catchment Area for Flood Discharge (A_{flood discharge}) & Time in minutes (T_m) and hit the calculate button. Here is how the Flood Discharge by Fuller's Formula calculation can be explained with given input values -> 3.06978 = 0.5*((2)^(0.8))*(1+0.8*log(1200,e))*(1+2.67*(2)^(-0.3)).

FAQ

What is Flood Discharge by Fuller's Formula?

The Flood Discharge by Fuller's Formula calculates the value of the flood discharge when we have prior information of other parameters used and is represented as Q = C_m*((A_{flood discharge})^(0.8))*(1+0.8*log(T_m,e))*(1+2.67*(A_{flood discharge})^(-0.3)) or 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 Metric Unit is used and depend upon catchment, Catchment Area for Flood Discharge is an area of land where all water flows to a single stream, river, lake or even ocean & Time in minutes is a unit of time equal to 60 seconds or 1/60th of an hour.

How to calculate Flood Discharge by Fuller's Formula?

The Flood Discharge by Fuller's Formula calculates the value of the flood discharge when we have prior information of other parameters used is calculated using 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)). To calculate Flood Discharge by Fuller's Formula, you need Constant Metric Unit (C_m), Catchment Area for Flood Discharge (A_{flood discharge}) & Time in minutes (T_m). With our tool, you need to enter the respective value for Constant Metric Unit, Catchment Area for Flood Discharge & 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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