Mean annual flood proposed by natural environment research council Solution

STEP 0: Pre-Calculation Summary
Formula Used
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
Q = CNERC*ANERC^(0.94)*SF^(0.27)*SC^(0.16)*SO^(1.23)*RSMD^(1.03)*(1+a)^-0.85
This formula uses 8 Variables
Variables Used
Mean Annual Flood - (Measured in Cubic Meter per Second) - Mean Annual Flood is determined as the mean of the annual maximum flow series of a catchment.
Constant C - Constant C varies from 0.0153 for East Anglia to 0.0315 for the southwest of England.
Area - Area of Catchment is the land where all water flows to a single stream, river, lake or even ocean.
Stream Frequency - Stream Frequency is the total number of channel segments of all stream orders per unit area (no. of stream junctions/Area).
Slope of the Catchment - Slope of the Catchment depends on the stream profile and is defined as the horizontal distance along the mainstream/the elevation difference between the two endpoints of the mainstream.
Soil Type Index - Soil Type Index is used to define a soil's behavior type according to where on the Ic spectrum a soil falls.
RSMD - RSMD is defined as the depth of the M51D (in mm) minus the effective mean soil moisture deficit SMDBAR.
Area of Lakes or Reservoirs - (Measured in Square Meter) - Area of Lakes or Reservoirs (as a fraction of AREA).
STEP 1: Convert Input(s) to Base Unit
Constant C: 0.0315 --> No Conversion Required
Area: 7.6 --> No Conversion Required
Stream Frequency: 5.5 --> No Conversion Required
Slope of the Catchment: 8.7 --> No Conversion Required
Soil Type Index: 8.9 --> No Conversion Required
RSMD: 49.2 --> No Conversion Required
Area of Lakes or Reservoirs: 24 Square Meter --> 24 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Q = CNERC*ANERC^(0.94)*SF^(0.27)*SC^(0.16)*SO^(1.23)*RSMD^(1.03)*(1+a)^-0.85 --> 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
Evaluating ... ...
Q = 25.0450033299277
STEP 3: Convert Result to Output's Unit
25.0450033299277 Cubic Meter per Second --> No Conversion Required
FINAL ANSWER
25.0450033299277 25.045 Cubic Meter per Second <-- Mean Annual Flood
(Calculation completed in 00.004 seconds)

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15 Water budget equation for a catchment Calculators

Daily Precipitation from Water Budget Continuity Equation
Go Precipitation = Daily Surface Outflow+Daily Seepage Outflow+Daily Lake Evaporation+Increase in Lake Storage in a Day+Daily Transpiration Loss-Daily Surface Inflow-Daily Groundwater Inflow
Mean annual flood proposed by natural environment research council
Go 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
Water Budget Equation for Catchment given Time Interval
Go Change in Mass Storage = Precipitation-Surface Runoff-Net Ground Water Flowing Outside Catchment-Evaporation from Water Body-Transpiration
Change in Storage of Water in Catchment
Go Change in Storage Volumes = Change in Groundwater Storage+Change in Soil Moisture Storage+Change in Groundwater Storage
Surface water storage given Storage of water in catchment
Go Change in Surface Water Storage = Storage of Water-Change in Soil Moisture Storage-Change in Groundwater Storage
Ground Water Storage given Storage of water in catchment
Go Change in Groundwater Storage = Storage of Water-Change in Surface Water Storage-Change in Soil Moisture Storage
Soil Moisture Storage given Storage of water
Go Change in Soil Moisture Storage = Storage of Water-Change in Surface Water Storage-Change in Groundwater Storage
Storage of Water in Catchment
Go Storage of Water = Change in Surface Water Storage+Change in Soil Moisture Storage+Change in Groundwater Storage
Mass outflow given Change in mass storage
Go Mass Outflow = Outflow Rate-Change in Mass Storage
Mass in flow given Change in mass storage
Go Outflow Rate = Change in Mass Storage+Mass Outflow
Continuity equation for water balance
Go Change in Mass Storage = Outflow Rate-Mass Outflow
Catchment Area given Peak Discharge in Jarvis formula
Go Catchment Area = (Peak Discharge/Coefficient)^2
Precipitation in Rainfall runoff relationship
Go Precipitation = Surface Runoff+Runoff Losses
Runoff losses in rainfall runoff relationship
Go Runoff Losses = Precipitation-Surface Runoff
Rainfall runoff relationship
Go Surface Runoff = Precipitation-Runoff Losses

Mean annual flood proposed by natural environment research council 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
Q = CNERC*ANERC^(0.94)*SF^(0.27)*SC^(0.16)*SO^(1.23)*RSMD^(1.03)*(1+a)^-0.85

What is Mean annual flood?

The mean annual flood Q is determined as the mean of the annual maximum flow series of a catchment. The highest flow at a point on a stream during any particular calendar year or water year. Flow may be expressed as maximum instantaneous stage or discharge, or the highest 24-h average.

How to Calculate Mean annual flood proposed by natural environment research council?

Mean annual flood proposed by natural environment research council calculator 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 calculate the Mean Annual Flood, The Mean annual flood proposed by natural environment research council 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. Flood Studies lead to the above equation for catchments. The constant number depends on the location. Mean Annual Flood is denoted by Q symbol.

How to calculate Mean annual flood proposed by natural environment research council using this online calculator? To use this online calculator for Mean annual flood proposed by natural environment research council, enter Constant C (CNERC), Area (ANERC), Stream Frequency (SF), Slope of the Catchment (SC), Soil Type Index (SO), RSMD (RSMD) & Area of Lakes or Reservoirs (a) and hit the calculate button. Here is how the Mean annual flood proposed by natural environment research council calculation can be explained with given input values -> 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.

FAQ

What is Mean annual flood proposed by natural environment research council?
The Mean annual flood proposed by natural environment research council 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. Flood Studies lead to the above equation for catchments. The constant number depends on the location and is represented as Q = CNERC*ANERC^(0.94)*SF^(0.27)*SC^(0.16)*SO^(1.23)*RSMD^(1.03)*(1+a)^-0.85 or 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. Constant C varies from 0.0153 for East Anglia to 0.0315 for the southwest of England, Area of Catchment is the land where all water flows to a single stream, river, lake or even ocean, Stream Frequency is the total number of channel segments of all stream orders per unit area (no. of stream junctions/Area), Slope of the Catchment depends on the stream profile and is defined as the horizontal distance along the mainstream/the elevation difference between the two endpoints of the mainstream, Soil Type Index is used to define a soil's behavior type according to where on the Ic spectrum a soil falls, RSMD is defined as the depth of the M51D (in mm) minus the effective mean soil moisture deficit SMDBAR & Area of Lakes or Reservoirs (as a fraction of AREA).
How to calculate Mean annual flood proposed by natural environment research council?
The Mean annual flood proposed by natural environment research council 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. Flood Studies lead to the above equation for catchments. The constant number depends on the location is calculated using 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 calculate Mean annual flood proposed by natural environment research council, you need Constant C (CNERC), Area (ANERC), Stream Frequency (SF), Slope of the Catchment (SC), Soil Type Index (SO), RSMD (RSMD) & Area of Lakes or Reservoirs (a). With our tool, you need to enter the respective value for Constant C, Area, Stream Frequency, Slope of the Catchment, Soil Type Index, RSMD & Area of Lakes or Reservoirs 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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