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Mean Annual Flood proposed by Natural Environment Research Council Formula

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The Mean Annual Flood refers to the mean of the annual maximum flow series of a catchment. Check FAQs

Q mean = C NERC \cdot {A NERC}^{0.94} \cdot {SF}^{0.27} \cdot {S C}^{0.16} \cdot {SO}^{1.23} \cdot {RSMD}^{1.03} \cdot {(1 + a)}^{- 0.85}

Q_mean - Mean Annual Flood?C_NERC - Constant C?A_NERC - Area?SF - Stream Frequency?S_C - Slope of the Catchment?SO - Soil Type Index?RSMD - RSMD?a - Area of Lakes or Reservoirs?

Mean Annual Flood proposed by Natural Environment Research Council Example

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Here is how the Mean Annual Flood proposed by Natural Environment Research Council equation looks like with Values.

Here is how the Mean Annual Flood proposed by Natural Environment Research Council equation looks like with Units.

Here is how the Mean Annual Flood proposed by Natural Environment Research Council equation looks like.

25.045 = 0.0315 \cdot {7.6}^{0.94} \cdot {5.5}^{0.27} \cdot {8.7}^{0.16} \cdot {8.9}^{1.23} \cdot {49.2}^{1.03} \cdot {(1 + 24)}^{- 0.85}

25.045m³/s = 0.0315 \cdot {7.6}^{0.94} \cdot {5.5}^{0.27} \cdot {8.7}^{0.16} \cdot {8.9}^{1.23} \cdot {49.2}^{1.03} \cdot {(1 + 24m²)}^{- 0.85}

25.045 = 0.0315 \cdot {7.6}^{0.94} \cdot {5.5}^{0.27} \cdot {8.7}^{0.16} \cdot {8.9}^{1.23} \cdot {49.2}^{1.03} \cdot {(1 + 24)}^{- 0.85}

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Mean Annual Flood proposed by Natural Environment Research Council Solution

Follow our step by step solution on how to calculate Mean Annual Flood proposed by Natural Environment Research Council?

FIRST Step Consider the formula

Q mean = C NERC \cdot {A NERC}^{0.94} \cdot {SF}^{0.27} \cdot {S C}^{0.16} \cdot {SO}^{1.23} \cdot {RSMD}^{1.03} \cdot {(1 + a)}^{- 0.85}

Next Step Substitute values of Variables

∴

Q mean = 0.0315 \cdot {7.6}^{0.94} \cdot {5.5}^{0.27} \cdot {8.7}^{0.16} \cdot {8.9}^{1.23} \cdot {49.2}^{1.03} \cdot {(1 + 24m²)}^{- 0.85}

Next Step Prepare to Evaluate

∴

Q mean = 0.0315 \cdot {7.6}^{0.94} \cdot {5.5}^{0.27} \cdot {8.7}^{0.16} \cdot {8.9}^{1.23} \cdot {49.2}^{1.03} \cdot {(1 + 24)}^{- 0.85}

Next Step Evaluate

∴

Q mean = 25.0450033299277m³/s

LAST Step Rounding Answer

∴

Q mean = 25.045m³/s

Mean Annual Flood proposed by Natural Environment Research Council Formula Elements

Variables

Mean Annual Flood

The Mean Annual Flood refers to the mean of the annual maximum flow series of a catchment.

Symbol: Q_mean

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Mean Annual Flood

Constant C

The Constant C varies from 0.0153 for East Anglia to 0.0315 for the southwest of England.

Symbol: C_NERC

Measurement: NAUnit: Unitless