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Fuller's formula for Maximum Flood Discharge Formula

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Maximum 24-hour Flood Peak Discharge refers to the release of excess water downstream from a high-head dam project in 24 hours. Check FAQs

Q Tp = C f \cdot A^{0.8} \cdot (1 + 0.8 \cdot \log 10 (T r))

Q_Tp - Maximum 24-hour Flood Peak Discharge?C_f - Fuller's Coefficient?A - Catchment Area?T_r - Return Period?

Fuller's formula for Maximum Flood Discharge Example

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Here is how the Fuller's formula for Maximum Flood Discharge equation looks like with Values.

Here is how the Fuller's formula for Maximum Flood Discharge equation looks like with Units.

Here is how the Fuller's formula for Maximum Flood Discharge equation looks like.

95.3071 = 1.8 \cdot {40.5}^{0.8} \cdot (1 + 0.8 \cdot \log 10 (150))

95.3071m³/s = 1.8 \cdot {40.5km²}^{0.8} \cdot (1 + 0.8 \cdot \log 10 (150))

95.3071 = 1.8 \cdot {40.5}^{0.8} \cdot (1 + 0.8 \cdot \log 10 (150))

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Fuller's formula for Maximum Flood Discharge Solution

Follow our step by step solution on how to calculate Fuller's formula for Maximum Flood Discharge?

FIRST Step Consider the formula

Q Tp = C f \cdot A^{0.8} \cdot (1 + 0.8 \cdot \log 10 (T r))

Next Step Substitute values of Variables

∴

Q Tp = 1.8 \cdot {40.5km²}^{0.8} \cdot (1 + 0.8 \cdot \log 10 (150))

Next Step Prepare to Evaluate

∴

Q Tp = 1.8 \cdot {40.5}^{0.8} \cdot (1 + 0.8 \cdot \log 10 (150))

Next Step Evaluate

∴

Q Tp = 95.3071400450511m³/s

LAST Step Rounding Answer

∴

Q Tp = 95.3071m³/s

Fuller's formula for Maximum Flood Discharge Formula Elements

Variables

Functions

Maximum 24-hour Flood Peak Discharge

Maximum 24-hour Flood Peak Discharge refers to the release of excess water downstream from a high-head dam project in 24 hours.

Symbol: Q_Tp

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Maximum 24-hour Flood Peak Discharge

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.

Symbol: C_f

Measurement: NAUnit: Unitless

Note: Value should be between 0.88 to 1.88.

Formulas to find Fuller's Coefficient

Catchment Area

Catchment Area for an empirical estimation is in square kilometers to where all water flows to a single stream, river, lake or even ocean.

Symbol: A

Measurement: AreaUnit: km²

Note: Value should be greater than 0.

Formulas to find Catchment Area

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.

Symbol: T_r

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Return Period

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.

Syntax: log10(Number)

Other formulas in Other Formulae category

Go Baird and McIllwraith (1951) Formula for Maximum Flood Discharge

Q mp = \frac{3025 \cdot A}{{(278 + A)}^{0.78}}

Go Jarvis Formula for Peak Discharge

Q mp = C J \cdot \sqrt{A}

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

Fuller's formula for Maximum Flood Discharge evaluator uses Maximum 24-hour Flood Peak Discharge = Fuller's Coefficient*Catchment Area^0.8*(1+0.8*log10(Return Period)) to evaluate 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 evaluate Fuller's formula for Maximum Flood Discharge using this online evaluator? To use this online evaluator 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.

FAQs on Fuller's formula for Maximum Flood Discharge

What is the formula to find Fuller's formula for Maximum Flood Discharge?

The formula of Fuller's formula for Maximum Flood Discharge is expressed as Maximum 24-hour Flood Peak Discharge = Fuller's Coefficient*Catchment Area^0.8*(1+0.8*log10(Return Period)). Here is an example- 95.30714 = 1.8*40500000^0.8*(1+0.8*log10(150)).

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

With Fuller's Coefficient (C_f), Catchment Area (A) & Return Period (T_r) we can find Fuller's formula for Maximum Flood Discharge using the formula - Maximum 24-hour Flood Peak Discharge = Fuller's Coefficient*Catchment Area^0.8*(1+0.8*log10(Return Period)). This formula also uses Common Logarithm (log10) function(s).

Can the Fuller's formula for Maximum Flood Discharge be negative?

No, the Fuller's formula for Maximum Flood Discharge, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Fuller's formula for Maximum Flood Discharge?

Fuller's formula for Maximum Flood Discharge 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 Fuller's formula for Maximum Flood Discharge can be measured.

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Fuller's formula for Maximum Flood Discharge Formula

Fuller's formula for Maximum Flood Discharge Example

Fuller's formula for Maximum Flood Discharge Solution

Fuller's formula for Maximum Flood Discharge Formula Elements

Other formulas in Other Formulae category

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

FAQs on Fuller's formula for Maximum Flood Discharge

Variable Name