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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.

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

Note: Value can be positive or negative.

Area

The Area of Catchment refers to the land where all water flows to a single stream, river, lake or even ocean.

Symbol: A_NERC

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Stream Frequency

The Stream Frequency refers to the total number of channel segments of all stream orders per unit area (no. of stream junctions/Area).

Symbol: SF

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Slope of the Catchment

The Slope of the Catchment refers to the stream profile and is defined as the horizontal distance along the mainstream/the elevation difference between the two endpoints of the mainstream.

Symbol: S_C

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Soil Type Index

The Soil Type Index refers to the soil's behavior type according to where on the Ic spectrum a soil falls.

Symbol: SO

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

RSMD

The RSMD refers to the depth of the M51D (in mm) minus the effective mean soil moisture deficit SMDBAR.

Symbol: RSMD

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Area of Lakes or Reservoirs

The Area of Lakes or Reservoirs refers to the surface water from rain, melting snow, or ice converges to a single point at a lower elevation.

Symbol: a

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Credits

Creator Image

Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Formula and 2000+ more formulas!

Verifier Image

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has verified this Formula and 1700+ more formulas!

Other formulas in Water Budget Equation for a Catchment category

Go Mass Outflow given Change in Mass Storage

V o = Q - Δs

Go Catchment Area given Peak Discharge in Jarvis formula

A = {(\frac{Q p}{C})}^{2}

See More

How to Evaluate Mean Annual Flood proposed by Natural Environment Research Council?

Mean Annual Flood proposed by Natural Environment Research Council evaluator uses Mean Annual Flood = Constant C*Area^(0.94)*Stream Frequency^(0.27)*Slope of the Catchment^(0.16)*Soil Type Index^(1.23)*RSMD^(1.03)*(1+Area of Lakes or Reservoirs)^-0.85 to evaluate the Mean Annual Flood, The Mean Annual Flood proposed by Natural Environment Research Council formula is defined as from the engineering viewpoint, qualitative measures of catchment characteristics are inadequate in themselves, and quantitative measures are necessary to predict flood magnitudes. Mean Annual Flood is denoted by Q_mean symbol.

How to evaluate Mean Annual Flood proposed by Natural Environment Research Council using this online evaluator? To use this online evaluator for Mean Annual Flood proposed by Natural Environment Research Council, enter Constant C (C_NERC), Area (A_NERC), Stream Frequency (SF), Slope of the Catchment (S_C), Soil Type Index (SO), RSMD (RSMD) & Area of Lakes or Reservoirs (a) and hit the calculate button.

FAQs on Mean Annual Flood proposed by Natural Environment Research Council

What is the formula to find Mean Annual Flood proposed by Natural Environment Research Council?

The formula of Mean Annual Flood proposed by Natural Environment Research Council is expressed as Mean Annual Flood = Constant C*Area^(0.94)*Stream Frequency^(0.27)*Slope of the Catchment^(0.16)*Soil Type Index^(1.23)*RSMD^(1.03)*(1+Area of Lakes or Reservoirs)^-0.85. Here is an example- 25.045 = 0.0315*7.6^(0.94)*5.5^(0.27)*8.7^(0.16)*8.9^(1.23)*49.2^(1.03)*(1+24)^-0.85.

How to calculate Mean Annual Flood proposed by Natural Environment Research Council?

With Constant C (C_NERC), Area (A_NERC), Stream Frequency (SF), Slope of the Catchment (S_C), Soil Type Index (SO), RSMD (RSMD) & Area of Lakes or Reservoirs (a) we can find Mean Annual Flood proposed by Natural Environment Research Council using the formula - Mean Annual Flood = Constant C*Area^(0.94)*Stream Frequency^(0.27)*Slope of the Catchment^(0.16)*Soil Type Index^(1.23)*RSMD^(1.03)*(1+Area of Lakes or Reservoirs)^-0.85.

Can the Mean Annual Flood proposed by Natural Environment Research Council be negative?

No, the Mean Annual Flood proposed by Natural Environment Research Council, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Mean Annual Flood proposed by Natural Environment Research Council?

Mean Annual Flood proposed by Natural Environment Research Council 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 Mean Annual Flood proposed by Natural Environment Research Council can be measured.

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