Peak discharge per unit Catchment Area given Unit Hydrograph Width at 50 percent Peak Discharge Solution

STEP 0: Pre-Calculation Summary
Formula Used
Discharge = (5.87/Width of Unit Hydrograph at 50% Peak Discharge)^(1/1.08)
Q = (5.87/W50)^(1/1.08)
This formula uses 2 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.
Width of Unit Hydrograph at 50% Peak Discharge - (Measured in Millimeter) - Width of Unit Hydrograph at 50% Peak Discharge. The role of unit hydrograph in hydrology is to provide an estimate of direct runoff hydrograph resulting from given excess rainfall hyetograph.
STEP 1: Convert Input(s) to Base Unit
Width of Unit Hydrograph at 50% Peak Discharge: 1.8 Millimeter --> 1.8 Millimeter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Q = (5.87/W50)^(1/1.08) --> (5.87/1.8)^(1/1.08)
Evaluating ... ...
Q = 2.98771051081468
STEP 3: Convert Result to Output's Unit
2.98771051081468 Cubic Meter per Second --> No Conversion Required
FINAL ANSWER
2.98771051081468 2.987711 Cubic Meter per Second <-- Discharge
(Calculation completed in 00.004 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 given Unit Hydrograph Width at 50 percent Peak Discharge Formula

Discharge = (5.87/Width of Unit Hydrograph at 50% Peak Discharge)^(1/1.08)
Q = (5.87/W50)^(1/1.08)

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 given Unit Hydrograph Width at 50 percent Peak Discharge?

Peak discharge per unit Catchment Area given Unit Hydrograph Width at 50 percent Peak Discharge calculator uses Discharge = (5.87/Width of Unit Hydrograph at 50% Peak Discharge)^(1/1.08) to calculate the Discharge, The Peak discharge per unit Catchment Area given Unit Hydrograph Width at 50 percent Peak Discharge formula is defined as the maximum rate of flow for a given condition and is used in the design of conservation measures. Discharge is denoted by Q symbol.

How to calculate Peak discharge per unit Catchment Area given Unit Hydrograph Width at 50 percent Peak Discharge using this online calculator? To use this online calculator for Peak discharge per unit Catchment Area given Unit Hydrograph Width at 50 percent Peak Discharge, enter Width of Unit Hydrograph at 50% Peak Discharge (W50) and hit the calculate button. Here is how the Peak discharge per unit Catchment Area given Unit Hydrograph Width at 50 percent Peak Discharge calculation can be explained with given input values -> 2.987711 = (5.87/0.0018)^(1/1.08).

FAQ

What is Peak discharge per unit Catchment Area given Unit Hydrograph Width at 50 percent Peak Discharge?
The Peak discharge per unit Catchment Area given Unit Hydrograph Width at 50 percent Peak Discharge formula is defined as the maximum rate of flow for a given condition and is used in the design of conservation measures and is represented as Q = (5.87/W50)^(1/1.08) or Discharge = (5.87/Width of Unit Hydrograph at 50% Peak Discharge)^(1/1.08). Width of Unit Hydrograph at 50% Peak Discharge. The role of unit hydrograph in hydrology is to provide an estimate of direct runoff hydrograph resulting from given excess rainfall hyetograph.
How to calculate Peak discharge per unit Catchment Area given Unit Hydrograph Width at 50 percent Peak Discharge?
The Peak discharge per unit Catchment Area given Unit Hydrograph Width at 50 percent Peak Discharge formula is defined as the maximum rate of flow for a given condition and is used in the design of conservation measures is calculated using Discharge = (5.87/Width of Unit Hydrograph at 50% Peak Discharge)^(1/1.08). To calculate Peak discharge per unit Catchment Area given Unit Hydrograph Width at 50 percent Peak Discharge, you need Width of Unit Hydrograph at 50% Peak Discharge (W50). With our tool, you need to enter the respective value for Width of Unit Hydrograph at 50% Peak Discharge 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 Width of Unit Hydrograph at 50% Peak Discharge. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Discharge = Peak Discharge/Catchment Area
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