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Flood Discharge given Gumbel's Reduced Variate Formula

GoFlood Discharge Having Highest Frequency Formula

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Flood Discharge having Highest Frequency refers to the flow rate of water occurring most often during flood events, indicating common flood conditions. Check FAQs

Q f = (\frac{y}{a}) + Q fe

Q_f - Flood Discharge having Highest Frequency?y - Gumbel's Reduced Variate?a - Gumbel's Constant?Q_fe - Flood Discharge?

Flood Discharge given Gumbel's Reduced Variate Example

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Here is how the Flood Discharge given Gumbel's Reduced Variate equation looks like with Values.

Here is how the Flood Discharge given Gumbel's Reduced Variate equation looks like with Units.

Here is how the Flood Discharge given Gumbel's Reduced Variate equation looks like.

19.9755 = (\frac{37.98}{2.01}) + 1.08

19.9755m³/s = (\frac{37.98}{2.01}) + 1.08m³/s

19.9755 = (\frac{37.98}{2.01}) + 1.08

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Flood Discharge given Gumbel's Reduced Variate Solution

Follow our step by step solution on how to calculate Flood Discharge given Gumbel's Reduced Variate?

FIRST Step Consider the formula

Q f = (\frac{y}{a}) + Q fe

Next Step Substitute values of Variables

∴

Q f = (\frac{37.98}{2.01}) + 1.08m³/s

Next Step Prepare to Evaluate

∴

Q f = (\frac{37.98}{2.01}) + 1.08

Next Step Evaluate

∴

Q f = 19.9755223880597m³/s

LAST Step Rounding Answer

∴

Q f = 19.9755m³/s

Flood Discharge given Gumbel's Reduced Variate Formula Elements

Variables

Flood Discharge having Highest Frequency

Flood Discharge having Highest Frequency refers to the flow rate of water occurring most often during flood events, indicating common flood conditions.

Symbol: Q_f

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Flood Discharge having Highest Frequency

Gumbel's Reduced Variate

Gumbel's Reduced Variate refers to a dimensionless value used in extreme value analysis to standardize data, aiding in the estimation of return periods.

Symbol: y

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Gumbel's Reduced Variate

Gumbel's Constant

Gumbel's Constant refers to a statistical parameter used in extreme value theory to model the distribution of extreme events like floods or droughts.

Symbol: a

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Gumbel's Constant

Flood Discharge

Flood discharge refers to the volume of water flowing through a river or stream during a flood event, typically measured in m³/s or cfs.

Symbol: Q_fe

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Flood Discharge

Other Formulas to find Flood Discharge having Highest Frequency

Go Flood Discharge Having Highest Frequency

Q f = Q av - (0.45 \cdot σ)

Other formulas in Gumbel's Method category

Go Gumbel's Reduced Variate

y = a \cdot (Q f - Q fe)

Go Gumbel's Constant given Gumbel's Reduced Variate

a = \frac{y}{Q f - Q fe}

Go Average Flood Discharge given Flood Discharge Having Highest Frequency

Q av = Q f + (0.45 \cdot σ)

Go Standard Deviation given Flood Discharge Having Highest Frequency

σ = \frac{Q av - Q f}{0.45}

How to Evaluate Flood Discharge given Gumbel's Reduced Variate?

Flood Discharge given Gumbel's Reduced Variate evaluator uses Flood Discharge having Highest Frequency = (Gumbel's Reduced Variate/Gumbel's Constant)+Flood Discharge to evaluate the Flood Discharge having Highest Frequency, The Flood Discharge given Gumbel's Reduced Variate is defined as the volume of water that passes through given cross section per unit time, usually measured in cubic feet per second (cfs) or cubic meters per second (cms). Flood Discharge having Highest Frequency is denoted by Q_f symbol.

How to evaluate Flood Discharge given Gumbel's Reduced Variate using this online evaluator? To use this online evaluator for Flood Discharge given Gumbel's Reduced Variate, enter Gumbel's Reduced Variate (y), Gumbel's Constant (a) & Flood Discharge (Q_fe) and hit the calculate button.

FAQs on Flood Discharge given Gumbel's Reduced Variate

What is the formula to find Flood Discharge given Gumbel's Reduced Variate?

The formula of Flood Discharge given Gumbel's Reduced Variate is expressed as Flood Discharge having Highest Frequency = (Gumbel's Reduced Variate/Gumbel's Constant)+Flood Discharge. Here is an example- 20.07 = (37.98/2.01)+1.08.

How to calculate Flood Discharge given Gumbel's Reduced Variate?

With Gumbel's Reduced Variate (y), Gumbel's Constant (a) & Flood Discharge (Q_fe) we can find Flood Discharge given Gumbel's Reduced Variate using the formula - Flood Discharge having Highest Frequency = (Gumbel's Reduced Variate/Gumbel's Constant)+Flood Discharge.

What are the other ways to Calculate Flood Discharge having Highest Frequency?

Here are the different ways to Calculate Flood Discharge having Highest Frequency-

Flood Discharge having Highest Frequency=Average Discharge-(0.45*Standard Deviation)

Can the Flood Discharge given Gumbel's Reduced Variate be negative?

No, the Flood Discharge given Gumbel's Reduced Variate, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Flood Discharge given Gumbel's Reduced Variate?

Flood Discharge given Gumbel's Reduced Variate 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 given Gumbel's Reduced Variate can be measured.

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Flood Discharge given Gumbel's Reduced Variate Formula

​GoFlood Discharge Having Highest Frequency Formula

Flood Discharge given Gumbel's Reduced Variate Example

Flood Discharge given Gumbel's Reduced Variate Solution

Flood Discharge given Gumbel's Reduced Variate Formula Elements

Other Formulas to find Flood Discharge having Highest Frequency

Other formulas in Gumbel's Method category

How to Evaluate Flood Discharge given Gumbel's Reduced Variate?

FAQs on Flood Discharge given Gumbel's Reduced Variate

Variable Name

GoFlood Discharge Having Highest Frequency Formula