Fuller's formula for Maximum Flood Discharge Calculator

✖Fuller's Coefficient used in Fuller's formula (1914) with values ranging between 0.18 to 1.88 to find out the maximum 24-hour flood peak discharge.ⓘ Fuller's Coefficient [C_f]			+10% -10%
✖Catchment Area for an empirical estimation is in square kilometers to where all water flows to a single stream, river, lake or even ocean.ⓘ Catchment Area [A]			+10% -10%
✖Return Period [Years] is an average time or an estimated average time between events such as earthquakes, floods, landslides, or a river discharge flows to occur.ⓘ Return Period [T_r]			+10% -10%

✖Maximum 24-hour Flood Peak Discharge refers to the release of excess water downstream from a high-head dam project in 24 hours.ⓘ Fuller's formula for Maximum Flood Discharge [Q_Tp]

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Fuller's formula for Maximum Flood Discharge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum 24-hour Flood Peak Discharge = Fuller's Coefficient*Catchment Area^0.8*(1+0.8*log10(Return Period))
Q_Tp = C_f*A^0.8*(1+0.8*log10(T_r))
This formula uses 1 Functions, 4 Variables

Functions Used

log10 - The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function., log10(Number)

Variables Used

Maximum 24-hour Flood Peak Discharge - (Measured in Cubic Meter per Second) - Maximum 24-hour Flood Peak Discharge refers to the release of excess water downstream from a high-head dam project in 24 hours.
Fuller's Coefficient - Fuller's Coefficient used in Fuller's formula (1914) with values ranging between 0.18 to 1.88 to find out the maximum 24-hour flood peak discharge.
Catchment Area - (Measured in Square Kilometer) - Catchment Area for an empirical estimation is in square kilometers to where all water flows to a single stream, river, lake or even ocean.
Return Period - Return Period [Years] is an average time or an estimated average time between events such as earthquakes, floods, landslides, or a river discharge flows to occur.

STEP 1: Convert Input(s) to Base Unit

Fuller's Coefficient: 1.8 --> No Conversion Required
Catchment Area: 40.5 Square Kilometer --> 40.5 Square Kilometer No Conversion Required
Return Period: 150 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_Tp = C_f*A^0.8*(1+0.8*log10(T_r)) --> 1.8*40.5^0.8*(1+0.8*log10(150))

Evaluating ... ...

Q_Tp = 95.3071400450511

STEP 3: Convert Result to Output's Unit

95.3071400450511 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

95.3071400450511 ≈ 95.30714 Cubic Meter per Second <-- Maximum 24-hour Flood Peak Discharge

(Calculation completed in 00.004 seconds)

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< Other Formulae Calculators

Fuller's formula for Maximum Flood Discharge

LaTeX Go Maximum 24-hour Flood Peak Discharge = Fuller's Coefficient*Catchment Area^0.8*(1+0.8*log10(Return Period))

Jarvis Formula for Peak Discharge

LaTeX Go Maximum Flood Discharge = Coefficient (Jarvis Equation)*sqrt(Catchment Area)

Baird and McIllwraith (1951) Formula for Maximum Flood Discharge

LaTeX Go Maximum Flood Discharge = (3025*Catchment Area)/(278+Catchment Area)^0.78

Fuller's formula for Maximum Flood Discharge Formula

LaTeX Go

Maximum 24-hour Flood Peak Discharge = Fuller's Coefficient*Catchment Area^0.8*(1+0.8*log10(Return Period))
Q_Tp = C_f*A^0.8*(1+0.8*log10(T_r))

What is Maximum Food Discharge?

In Hydrology, the term “peak discharge” stands for the highest concentration of runoff from the basin area. The concentrated flow of the basin greatly exaggerates and overtops the natural or artificial bank, and this might be called a flood.

What is Catchment Area?

A Catchment Area is a hydrological unit. Each drop of precipitation that falls into a catchment area eventually ends up in the same river going to the sea if it doesn't evaporate.

How to Calculate Fuller's formula for Maximum Flood Discharge?

Fuller's formula for Maximum Flood Discharge calculator uses Maximum 24-hour Flood Peak Discharge = Fuller's Coefficient*Catchment Area^0.8*(1+0.8*log10(Return Period)) to calculate the Maximum 24-hour Flood Peak Discharge, The Fuller's formula for Maximum Flood Discharge formula is defined as the empirical formulae which relate the peak discharge to the basin area and also include the flood frequency. Maximum 24-hour Flood Peak Discharge is denoted by Q_Tp symbol.

How to calculate Fuller's formula for Maximum Flood Discharge using this online calculator? To use this online calculator for Fuller's formula for Maximum Flood Discharge, enter Fuller's Coefficient (C_f), Catchment Area (A) & Return Period (T_r) and hit the calculate button. Here is how the Fuller's formula for Maximum Flood Discharge calculation can be explained with given input values -> 95.30714 = 1.8*40500000^0.8*(1+0.8*log10(150)).

FAQ

What is Fuller's formula for Maximum Flood Discharge?

The Fuller's formula for Maximum Flood Discharge formula is defined as the empirical formulae which relate the peak discharge to the basin area and also include the flood frequency and is represented as Q_Tp = C_f*A^0.8*(1+0.8*log10(T_r)) or Maximum 24-hour Flood Peak Discharge = Fuller's Coefficient*Catchment Area^0.8*(1+0.8*log10(Return Period)). Fuller's Coefficient used in Fuller's formula (1914) with values ranging between 0.18 to 1.88 to find out the maximum 24-hour flood peak discharge, Catchment Area for an empirical estimation is in square kilometers to where all water flows to a single stream, river, lake or even ocean & Return Period [Years] is an average time or an estimated average time between events such as earthquakes, floods, landslides, or a river discharge flows to occur.

How to calculate Fuller's formula for Maximum Flood Discharge?

The Fuller's formula for Maximum Flood Discharge formula is defined as the empirical formulae which relate the peak discharge to the basin area and also include the flood frequency is calculated using Maximum 24-hour Flood Peak Discharge = Fuller's Coefficient*Catchment Area^0.8*(1+0.8*log10(Return Period)). To calculate Fuller's formula for Maximum Flood Discharge, you need Fuller's Coefficient (C_f), Catchment Area (A) & Return Period (T_r). With our tool, you need to enter the respective value for Fuller's Coefficient, Catchment Area & Return Period 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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