Peak Discharge per Unit Catchment Area Calculator

✖Peak Discharge is the maximum volume flow rate passing a particular location during an event.ⓘ Peak Discharge [Q_p]			+10% -10%
✖Catchment Area is an area of land where all water flows to a single stream, river, lake or even ocean.ⓘ Catchment Area [A_catchment]			+10% -10%

✖Discharge is the volumetric flow rate of water that is transported through a given cross-sectional area. It includes any suspended solids, dissolved chemicals, or biologic material.ⓘ Peak Discharge per Unit Catchment Area [Q]

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Peak Discharge per Unit Catchment Area

Formula

`"Q" = "Q"_{"p"}/"A"_{"catchment"}`

Example

`"0.4455m³/s"="0.891m³/s"/"2.0m²"`

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Download Synder's Synthetic- Unit Hydrograph Formulas PDF

Peak Discharge per Unit Catchment Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Discharge = Peak Discharge/Catchment Area
Q = Q_p/A_catchment
This formula uses 3 Variables

Variables Used

Discharge - (Measured in Cubic Meter per Second) - Discharge is the volumetric flow rate of water that is transported through a given cross-sectional area. It includes any suspended solids, dissolved chemicals, or biologic material.
Peak Discharge - (Measured in Cubic Meter per Second) - Peak Discharge is the maximum volume flow rate passing a particular location during an event.
Catchment Area - (Measured in Square Meter) - Catchment Area is an area of land where all water flows to a single stream, river, lake or even ocean.

STEP 1: Convert Input(s) to Base Unit

Peak Discharge: 0.891 Cubic Meter per Second --> 0.891 Cubic Meter per Second No Conversion Required
Catchment Area: 2 Square Meter --> 2 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q = Q_p/A_catchment --> 0.891/2

Evaluating ... ...

Q = 0.4455

STEP 3: Convert Result to Output's Unit

0.4455 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

0.4455 Cubic Meter per Second <-- Discharge

(Calculation completed in 00.007 seconds)

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< 25 Synder's Synthetic- Unit Hydrograph Calculators

Distance along Main Water Course from Gauging Station to Watershed

Go Distance along Main Water Course = (Basin Lag/Basin Constant/(Length of Basin/sqrt(Basin Slope))^Basin Constant 'n')^1/Basin Constant 'n'

Basin Length Measured along Water Course given Modified Equation for Basin Lag

Go Basin Length = (Basin Lag/Basin Constant)^(1/Basin Constant 'n')*(sqrt(Basin Slope)/Distance along Main Water Course)

Modified Equation for Basin Lag

Go Basin Lag = Basin Constant*(Length of Basin*Distance along Main Water Course/sqrt(Basin Slope))^Basin Constant 'n'

Basin Slope given Basin Lag

Go Basin Slope = ((Basin Length*Distance along Main Water Course)/((Basin Lag/Basin Constant)^(1/Basin Constant 'n')))^2

Basin Lag given Modified Basin Lag for Effective Duration

Go Basin Lag = (4*Modified Basin Lag+Standard Duration of Effective Rainfall-Non-standard rainfall duration)/4

Standard Duration of Effective Rainfall given Modified Basin Lag

Go Standard Duration of Effective Rainfall = Non-standard rainfall duration-4*(Modified Basin Lag-Basin Lag)

Modified Equation for Basin Lag for Effective Duration

Go Modified Basin Lag = Basin Lag+(Non-standard rainfall duration-Standard Duration of Effective Rainfall)/4

Equation for Catchment Parameter

Go Catchment Parameter = Length of Basin*Watershed Length/sqrt(Basin Slope)

Distance along Main Water Course from Gauging Station given Basin Lag

Go Distance along Main Water Course = ((Basin Lag/Regional Constant)^(1/0.3))*(1/Basin Length)

Regional Constant given Peak Discharge for Nonstandard Effective Rainfall

Go Regional Constant (Snyder) = Peak Discharge*Modified Basin Lag/(2.78*Area of Catchment)

Basin Length Measured along Water Course given Basin Lag

Go Basin Length = (Basin Lag/Regional Constant)^1/0.3*(1/Distance along Main Water Course)

Peak Discharge for Nonstandard Effective Rainfall

Go Peak Discharge = 2.78*Regional Constant (Snyder)*Area of Catchment/Modified Basin Lag

Regional Constant representing Watershed Slope and Storage Effects

Go Regional Constant = Basin Lag/(Length of Basin*Distance along Main Water Course)^0.3

Snyder's Equation

Go Basin Lag = Regional Constant*(Length of Basin*Distance along Main Water Course)^0.3

Catchment Area given Peak Discharge for Nonstandard Effective Rainfall

Go Area of Catchment = Peak Discharge*Modified Basin Lag/(2.78*Regional Constant)

Catchment Area given Peak Discharge of Unit Hydrograph

Go Area of Catchment = Peak Discharge*Basin Lag/(2.78*Regional Constant (Snyder))

Modified Basin Lag given Peak Discharge for Nonstandard Effective Rainfall

Go Modified Basin Lag = 2.78*Regional Constant*Area of Catchment/Peak Discharge

Snyder's Equation for Peak Discharge

Go Peak Discharge = 2.78*Regional Constant (Snyder)*Area of Catchment/Basin Lag

Basin Lag given Peak Discharge

Go Basin Lag = 2.78*Regional Constant (Snyder)*Area of Catchment/Peak Discharge

Regional Constant given Peak Discharge

Go Regional Constant = Peak Discharge*Basin Lag/2.78*Catchment Area

Basin Lag given Modified Basin Lag

Go Basin Lag = (Modified Basin Lag-(Non-standard rainfall duration/4))/(21/22)

Non-Standard Rainfall Duration given Modified Basin Lag

Go Non-standard rainfall duration = (Modified Basin Lag-(21/22)*Basin Lag)*4

Modified Basin Lag for Effective Duration

Go Modified Basin Lag = (21*Basin Lag/22)+(Non-standard rainfall duration/4)

Snyder's Equation for Standard Duration of Effective Rainfall

Go Standard Duration of Effective Rainfall = Basin Lag/5.5

Basin Lag given Standard Duration of Effective Rainfall

Go Basin Lag = 5.5*Standard Duration of Effective Rainfall

Peak Discharge per Unit Catchment Area Formula

Discharge = Peak Discharge/Catchment Area
Q = Q_p/A_catchment

What is difference between Synthetic Unit Hydrograph & Unit Hydrograph?

A Synthetic Unit Hydrograph retains all the features of the unit hydrograph but does not require rainfall-runoff data. A synthetic unit hydrograph is derived from theory and experience, and its purpose is to simulate basin diffusion by estimating the basin lag based on a certain formula or procedure.
A Unit Hydrograph shows the temporal change in flow, or discharge, per unit of runoff. In other words, how the flow of a stream will be affected over time by the addition of one unit of runoff. The unit hydrograph is a useful tool in the process of predicting the impact of precipitation on streamflow.

What is Basin Lag?

Basin lag time, defined as the elapsed time between the occurrences of the centroids of the effective rainfall and the storm runoff hydrograph, is an important factor in determining the time to peak of the unit hydrograph and the intensity of peak discharge.

How to Calculate Peak Discharge per Unit Catchment Area?

Peak Discharge per Unit Catchment Area calculator uses Discharge = Peak Discharge/Catchment Area to calculate the Discharge, The Peak Discharge per Unit Catchment Area formula is defined as the maximum volume flow rate passing a particular location during a storm event. Peak discharge is also referred to as peak rate of discharge or peak rate of runoff, usually referred to in units of cubic feet per second or cfs. Discharge is denoted by Q symbol.

How to calculate Peak Discharge per Unit Catchment Area using this online calculator? To use this online calculator for Peak Discharge per Unit Catchment Area, enter Peak Discharge (Q_p) & Catchment Area (A_catchment) and hit the calculate button. Here is how the Peak Discharge per Unit Catchment Area calculation can be explained with given input values -> 0.4455 = 0.891/2.

FAQ

What is Peak Discharge per Unit Catchment Area?

The Peak Discharge per Unit Catchment Area formula is defined as the maximum volume flow rate passing a particular location during a storm event. Peak discharge is also referred to as peak rate of discharge or peak rate of runoff, usually referred to in units of cubic feet per second or cfs and is represented as Q = Q_p/A_catchment or Discharge = Peak Discharge/Catchment Area. Peak Discharge is the maximum volume flow rate passing a particular location during an event & Catchment Area is an area of land where all water flows to a single stream, river, lake or even ocean.

How to calculate Peak Discharge per Unit Catchment Area?

The Peak Discharge per Unit Catchment Area formula is defined as the maximum volume flow rate passing a particular location during a storm event. Peak discharge is also referred to as peak rate of discharge or peak rate of runoff, usually referred to in units of cubic feet per second or cfs is calculated using Discharge = Peak Discharge/Catchment Area. To calculate Peak Discharge per Unit Catchment Area, you need Peak Discharge (Q_p) & Catchment Area (A_catchment). With our tool, you need to enter the respective value for Peak Discharge & Catchment Area and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Discharge?

In this formula, Discharge uses Peak Discharge & Catchment Area. We can use 1 other way(s) to calculate the same, which is/are as follows -

Discharge = (5.87/Width of Unit Hydrograph at 50% Peak Discharge)^(1/1.08)

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