Flood Discharge in FPS Unit by Fuller's Formula Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
QFLF = CFLF*((A1)^(0.8))*(1+0.8*log(Tm,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
Flood Discharge by Fuller's Formula in FPS - (Measured in Cubic Foot per Second) - Flood Discharge by Fuller's Formula in FPS refers to peak discharge based on catchment area and rainfall intensity, considering regional characteristics.
Fuller's Constant for FPS - Fuller's Constant for FPS refers to an empirical coefficient used in Fuller's formula to estimate peak flood discharge, adjusted for regional hydrological conditions.
Area of Basin - (Measured in Square Mile (US Survey)) - Area of Basin refers to the surface area of a drainage basin or watershed, crucial for hydrological and flood analysis.
Time Period for a Flood Discharge - (Measured in Year) - 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 for FPS: 28 --> No Conversion Required
Area of Basin: 2.6 Square Mile --> 2.59998918580837 Square Mile (US Survey) (Check conversion ​here)
Time Period for a Flood Discharge: 2.2 Year --> 2.2 Year No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
QFLF = CFLF*((A1)^(0.8))*(1+0.8*log(Tm,e))*(1+2*(A1)^(-0.2)) --> 28*((2.59998918580837)^(0.8))*(1+0.8*log(2.2,e))*(1+2*(2.59998918580837)^(-0.2))
Evaluating ... ...
QFLF = 321.30842160842
STEP 3: Convert Result to Output's Unit
9.09844128351247 Cubic Meter per Second -->321.30842160842 Cubic Foot per Second (Check conversion ​here)
FINAL ANSWER
321.30842160842 321.3084 Cubic Foot per Second <-- Flood Discharge by Fuller's Formula in FPS
(Calculation completed in 00.004 seconds)

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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 in FPS Unit by Fuller's Formula 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))
QFLF = CFLF*((A1)^(0.8))*(1+0.8*log(Tm,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 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)) to calculate the Flood Discharge by Fuller's Formula in FPS, The Flood Discharge in FPS Unit 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 in FPS is denoted by QFLF 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 Fuller's Constant for FPS (CFLF), Area of Basin (A1) & Time Period for a Flood Discharge (Tm) 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 -> 11346.9 = 28*((6733969.0868736)^(0.8))*(1+0.8*log(69425294.4,e))*(1+2*(6733969.0868736)^(-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 peak discharge based on catchment area and rainfall intensity, considering regional characteristics and is represented as QFLF = CFLF*((A1)^(0.8))*(1+0.8*log(Tm,e))*(1+2*(A1)^(-0.2)) or 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)). Fuller's Constant for FPS refers to an empirical coefficient used in Fuller's formula to estimate peak flood discharge, adjusted for regional hydrological conditions, Area of Basin refers to the surface area of a drainage basin or watershed, crucial for hydrological and flood analysis & Time Period for a Flood Discharge refers to number of years after which a flood is recorded.
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 peak discharge based on catchment area and rainfall intensity, considering regional characteristics is calculated using 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)). To calculate Flood Discharge in FPS Unit by Fuller's Formula, you need Fuller's Constant for FPS (CFLF), Area of Basin (A1) & Time Period for a Flood Discharge (Tm). With our tool, you need to enter the respective value for Fuller's Constant for FPS, Area of Basin & 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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