Flood Discharge by Fuller's Formula Solution

STEP 0: Pre-Calculation Summary
Formula Used
Flood Discharge by Fuller's Formula = Fuller's Constant*((Catchment Area for Flood Discharge)^(0.8))*(1+0.8*log(Time Period for a Flood Discharge,e))*(1+2.67*(Catchment Area for Flood Discharge)^(-0.3))
QFL = CFL*((Akm)^(0.8))*(1+0.8*log(Tm,e))*(1+2.67*(Akm)^(-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
Flood Discharge by Fuller's Formula - (Measured in Cubic Meter per Second) - Flood Discharge by Fuller's Formula refers to peak discharge based on catchment area and rainfall intensity, considering regional characteristics.
Fuller's Constant - Fuller's Constant refers to an empirical coefficient used in Fuller's formula to estimate peak flood discharge, adjusted for regional hydrological conditions.
Catchment Area for Flood Discharge - (Measured in Square Meter) - Catchment Area for Flood Discharge refers to an area of land where all water flows to a single stream, river, lake or even ocean, typically in km unit.
Time Period for a Flood Discharge - (Measured in Second) - Time Period for a Flood Discharge refers to number of years after which a flood is recorded.
STEP 1: Convert Input(s) to Base Unit
Fuller's Constant: 0.185 --> No Conversion Required
Catchment Area for Flood Discharge: 2.4 Square Kilometer --> 2400000 Square Meter (Check conversion ​here)
Time Period for a Flood Discharge: 2.2 Year --> 69425294.4 Second (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
QFL = CFL*((Akm)^(0.8))*(1+0.8*log(Tm,e))*(1+2.67*(Akm)^(-0.3)) --> 0.185*((2400000)^(0.8))*(1+0.8*log(69425294.4,e))*(1+2.67*(2400000)^(-0.3))
Evaluating ... ...
QFL = 25355.771503865
STEP 3: Convert Result to Output's Unit
25355.771503865 Cubic Meter per Second --> No Conversion Required
FINAL ANSWER
25355.771503865 25355.77 Cubic Meter per Second <-- Flood Discharge by Fuller's Formula
(Calculation completed in 00.020 seconds)

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Birsa Institute of Technology (BIT), Sindri
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Fuller's Formula Calculators

Constant used in Flood Discharge by Fuller's Formula
​ LaTeX ​ Go Fuller's Constant = (Flood Discharge by Fuller's Formula/(((Catchment Area for Flood Discharge)^(0.8))*(1+0.8*log(Time Period for a Flood Discharge,e))*(1+2.67*(Catchment Area for Flood Discharge)^(-0.3))))
Flood Discharge by Fuller's Formula
​ LaTeX ​ Go Flood Discharge by Fuller's Formula = Fuller's Constant*((Catchment Area for Flood Discharge)^(0.8))*(1+0.8*log(Time Period for a Flood Discharge,e))*(1+2.67*(Catchment Area for Flood Discharge)^(-0.3))
Constant used in FPS Unit given Flood Discharge by Fuller's Formula
​ LaTeX ​ Go Fuller's Constant for FPS = (Flood Discharge by Fuller's Formula in FPS/(((Area of Basin)^(0.8))*(1+0.8*log(Time Period for a Flood Discharge,e))*(1+2*(Area of Basin)^(-0.2))))
Flood Discharge in FPS Unit by Fuller's Formula
​ LaTeX ​ Go Flood Discharge by Fuller's Formula in FPS = Fuller's Constant for FPS*((Area of Basin)^(0.8))*(1+0.8*log(Time Period for a Flood Discharge,e))*(1+2*(Area of Basin)^(-0.2))

Flood Discharge by Fuller's Formula Formula

​LaTeX ​Go
Flood Discharge by Fuller's Formula = Fuller's Constant*((Catchment Area for Flood Discharge)^(0.8))*(1+0.8*log(Time Period for a Flood Discharge,e))*(1+2.67*(Catchment Area for Flood Discharge)^(-0.3))
QFL = CFL*((Akm)^(0.8))*(1+0.8*log(Tm,e))*(1+2.67*(Akm)^(-0.3))

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 Flood Discharge by Fuller's Formula = Fuller's Constant*((Catchment Area for Flood Discharge)^(0.8))*(1+0.8*log(Time Period for a Flood Discharge,e))*(1+2.67*(Catchment Area for Flood Discharge)^(-0.3)) to calculate the Flood Discharge by Fuller's Formula, The Flood Discharge by Fuller's Formula is defined as peak discharge based on catchment area and rainfall intensity, considering regional characteristics. Flood Discharge by Fuller's Formula is denoted by QFL 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 Fuller's Constant (CFL), Catchment Area for Flood Discharge (Akm) & Time Period for a Flood Discharge (Tm) and hit the calculate button. Here is how the Flood Discharge by Fuller's Formula calculation can be explained with given input values -> 25355.77 = 0.185*((2400000)^(0.8))*(1+0.8*log(69425294.4,e))*(1+2.67*(2400000)^(-0.3)).

FAQ

What is Flood Discharge by Fuller's Formula?
The Flood Discharge by Fuller's Formula is defined as peak discharge based on catchment area and rainfall intensity, considering regional characteristics and is represented as QFL = CFL*((Akm)^(0.8))*(1+0.8*log(Tm,e))*(1+2.67*(Akm)^(-0.3)) or Flood Discharge by Fuller's Formula = Fuller's Constant*((Catchment Area for Flood Discharge)^(0.8))*(1+0.8*log(Time Period for a Flood Discharge,e))*(1+2.67*(Catchment Area for Flood Discharge)^(-0.3)). Fuller's Constant refers to an empirical coefficient used in Fuller's formula to estimate peak flood discharge, adjusted for regional hydrological conditions, Catchment Area for Flood Discharge refers to an area of land where all water flows to a single stream, river, lake or even ocean, typically in km unit & Time Period for a Flood Discharge refers to number of years after which a flood is recorded.
How to calculate Flood Discharge by Fuller's Formula?
The Flood Discharge by Fuller's Formula is defined as peak discharge based on catchment area and rainfall intensity, considering regional characteristics is calculated using Flood Discharge by Fuller's Formula = Fuller's Constant*((Catchment Area for Flood Discharge)^(0.8))*(1+0.8*log(Time Period for a Flood Discharge,e))*(1+2.67*(Catchment Area for Flood Discharge)^(-0.3)). To calculate Flood Discharge by Fuller's Formula, you need Fuller's Constant (CFL), Catchment Area for Flood Discharge (Akm) & Time Period for a Flood Discharge (Tm). With our tool, you need to enter the respective value for Fuller's Constant, Catchment Area for Flood Discharge & Time Period for a Flood Discharge 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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