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Flood Discharge by Fuller's Formula Formula

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Flood Discharge by Fuller's Formula refers to peak discharge based on catchment area and rainfall intensity, considering regional characteristics. Check FAQs

Q FL = C FL \cdot ({(A km)}^{0.8}) \cdot (1 + 0.8 \cdot \log (T m, e)) \cdot (1 + 2.67 \cdot {(A km)}^{- 0.3})

Q_FL - Flood Discharge by Fuller's Formula?C_FL - Fuller's Constant?A_km - Catchment Area for Flood Discharge?T_m - Time Period for a Flood Discharge?

Flood Discharge by Fuller's Formula Example

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Here is how the Flood Discharge by Fuller's Formula equation looks like with Values.

Here is how the Flood Discharge by Fuller's Formula equation looks like with Units.

Here is how the Flood Discharge by Fuller's Formula equation looks like.

25355.7715 = 0.185 \cdot ({(2.4)}^{0.8}) \cdot (1 + 0.8 \cdot \log (2.2, e)) \cdot (1 + 2.67 \cdot {(2.4)}^{- 0.3})

25355.7715m³/s = 0.185 \cdot ({(2.4km²)}^{0.8}) \cdot (1 + 0.8 \cdot \log (2.2Year, e)) \cdot (1 + 2.67 \cdot {(2.4km²)}^{- 0.3})

25355.7715 = 0.185 \cdot ({(2.4)}^{0.8}) \cdot (1 + 0.8 \cdot \log (2.2, e)) \cdot (1 + 2.67 \cdot {(2.4)}^{- 0.3})

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Flood Discharge by Fuller's Formula Solution

Follow our step by step solution on how to calculate Flood Discharge by Fuller's Formula?

FIRST Step Consider the formula

Q FL = C FL \cdot ({(A km)}^{0.8}) \cdot (1 + 0.8 \cdot \log (T m, e)) \cdot (1 + 2.67 \cdot {(A km)}^{- 0.3})

Next Step Substitute values of Variables

∴

Q FL = 0.185 \cdot ({(2.4km²)}^{0.8}) \cdot (1 + 0.8 \cdot \log (2.2Year, e)) \cdot (1 + 2.67 \cdot {(2.4km²)}^{- 0.3})

Next Step Convert Units

∴

Q FL = 0.185 \cdot ({(2.4E+6m²)}^{0.8}) \cdot (1 + 0.8 \cdot \log (6.9E+7s, e)) \cdot (1 + 2.67 \cdot {(2.4E+6m²)}^{- 0.3})

Next Step Prepare to Evaluate

∴

Q FL = 0.185 \cdot ({(2.4E+6)}^{0.8}) \cdot (1 + 0.8 \cdot \log (6.9E+7, e)) \cdot (1 + 2.67 \cdot {(2.4E+6)}^{- 0.3})

Next Step Evaluate

∴

Q FL = 25355.771503865m³/s

LAST Step Rounding Answer

∴

Q FL = 25355.7715m³/s

Flood Discharge by Fuller's Formula Formula Elements

Variables

Functions

Flood Discharge by Fuller's Formula

Flood Discharge by Fuller's Formula refers to peak discharge based on catchment area and rainfall intensity, considering regional characteristics.

Symbol: Q_FL

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Flood Discharge by Fuller's Formula

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.

Symbol: C_FL

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Fuller's Constant

Catchment Area for Flood Discharge

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.

Symbol: A_km

Measurement: AreaUnit: km²

Note: Value should be greater than 0.

Formulas to find Catchment Area for Flood Discharge

Time Period for a Flood Discharge

Time Period for a Flood Discharge refers to number of years after which a flood is recorded.

Symbol: T_m

Measurement: TimeUnit: Year

Note: Value can be positive or negative.

Formulas to find Time Period for a Flood Discharge

log

Logarithmic function is an inverse function to exponentiation.

Syntax: log(Base, Number)

Other formulas in Fuller's Formula category

Go Constant used in Flood Discharge by Fuller's Formula

C FL = (\frac{Q FL}{({(A km)}^{0.8}) \cdot (1 + 0.8 \cdot \log (T m, e)) \cdot (1 + 2.67 \cdot {(A km)}^{- 0.3})})

Go Flood Discharge in FPS Unit by Fuller's Formula

Q FLF = C FLF \cdot ({(A 1)}^{0.8}) \cdot (1 + 0.8 \cdot \log (T m, e)) \cdot (1 + 2 \cdot {(A 1)}^{- 0.2})

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

C FLF = (\frac{Q FLF}{({(A 1)}^{0.8}) \cdot (1 + 0.8 \cdot \log (T m, e)) \cdot (1 + 2 \cdot {(A 1)}^{- 0.2})})

How to Evaluate Flood Discharge by Fuller's Formula?

Flood Discharge by Fuller's Formula evaluator 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 evaluate 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 Q_FL symbol.

How to evaluate Flood Discharge by Fuller's Formula using this online evaluator? To use this online evaluator for Flood Discharge by Fuller's Formula, enter Fuller's Constant (C_FL), Catchment Area for Flood Discharge (A_km) & Time Period for a Flood Discharge (T_m) and hit the calculate button.

FAQs on Flood Discharge by Fuller's Formula

What is the formula to find Flood Discharge by Fuller's Formula?

The formula of Flood Discharge by Fuller's Formula is expressed as 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)). Here is an example- 25355.77 = 0.185*((2400000)^(0.8))*(1+0.8*log(69425294.4,e))*(1+2.67*(2400000)^(-0.3)).

How to calculate Flood Discharge by Fuller's Formula?

With Fuller's Constant (C_FL), Catchment Area for Flood Discharge (A_km) & Time Period for a Flood Discharge (T_m) we can find Flood Discharge by Fuller's Formula using the formula - 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)). This formula also uses Logarithmic Inverse (log) function(s).

Can the Flood Discharge by Fuller's Formula be negative?

No, the Flood Discharge by Fuller's Formula, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Flood Discharge by Fuller's Formula?

Flood Discharge by Fuller's Formula is usually measured using the Cubic Meter per Second[m³/s] for Volumetric Flow Rate. Cubic Meter per Day[m³/s], Cubic Meter per Hour[m³/s], Cubic Meter per Minute[m³/s] are the few other units in which Flood Discharge by Fuller's Formula can be measured.

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Flood Discharge by Fuller's Formula Formula

Flood Discharge by Fuller's Formula Example

Flood Discharge by Fuller's Formula Solution

Flood Discharge by Fuller's Formula Formula Elements

Other formulas in Fuller's Formula category

How to Evaluate Flood Discharge by Fuller's Formula?

FAQs on Flood Discharge by Fuller's Formula

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