Lag Time of 1-h Unit Hydrograph given Duration of Rainfall Excess Solution

STEP 0: Pre-Calculation Summary
Formula Used
Lag Time of a 1-h Unit Hydrograph = Duration of Excess Rainfall in Hours/1.1
Tp1 = D/1.1
This formula uses 2 Variables
Variables Used
Lag Time of a 1-h Unit Hydrograph - (Measured in Second) - Lag Time of a 1-h Unit Hydrograph is the time interval from the midpoint of the rainfall excess to the peak.
Duration of Excess Rainfall in Hours - (Measured in Second) - Duration of Excess Rainfall in Hours is time during which continuous rain is observed at a given point or within a given area or Excess Rainfall of the Unit Hydrograph used in deriving the S-curve.
STEP 1: Convert Input(s) to Base Unit
Duration of Excess Rainfall in Hours: 2.42 Hour --> 8712 Second (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Tp1 = D/1.1 --> 8712/1.1
Evaluating ... ...
Tp1 = 7920
STEP 3: Convert Result to Output's Unit
7920 Second -->2.2 Hour (Check conversion here)
FINAL ANSWER
2.2 Hour <-- Lag Time of a 1-h Unit Hydrograph
(Calculation completed in 00.004 seconds)

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Peak Discharge of D-h Unit Hydrograph given Lag Time
Go Peak discharge of a D-h Unit hydrograph = (Area of Catchment)*(1.56/Lag Time of a 1-h Unit Hydrograph)^(1/0.9)
Catchment Area given Lag Time of 1-h Unit Hydrograph
Go Area of Catchment = Peak discharge of a D-h Unit hydrograph*(Lag Time of a 1-h Unit Hydrograph/1.56)^(1/0.9)
Lag Time of 1-h Unit Hydrograph
Go Lag Time of a 1-h Unit Hydrograph = 1.56/((Peak discharge of a D-h Unit hydrograph/Area of Catchment)^0.9)
Catchment Area for Peak Discharge of Weighted Mean Slope Lesser than 0.0028
Go Area of Catchment = (Peak discharge of a D-h Unit hydrograph/(37.4*Weighted Mean Slope^(2/3)))^(4/3)
Weighted Mean Slope given Peak Discharge of D-h Unit Hydrograph
Go Weighted Mean Slope = (Peak discharge of a D-h Unit hydrograph/(37.4*Area of Catchment^(3/4)))^(3/2)
Peak Discharge of D-h Unit Hydrograph for Weighted Mean Slope Lesser than 0.0028
Go Peak discharge of a D-h Unit hydrograph = 37.4*Area of Catchment^(3/4)*Weighted Mean Slope^(2/3)
Lag Time of 1-h Unit Hydrograph given Duration of Rainfall Excess
Go Lag Time of a 1-h Unit Hydrograph = Duration of Excess Rainfall in Hours/1.1
Duration of Rainfall Excess
Go Duration of Excess Rainfall in Hours = 1.1*Lag Time of a 1-h Unit Hydrograph
Catchment Area given Peak Discharge of D-h Unit Hydrograph
Go Area of Catchment = (Peak discharge of a D-h Unit hydrograph/1.79)^(4/3)
Peak Discharge of D-h Unit Hydrograph
Go Peak discharge of a D-h Unit hydrograph = 1.79*Area of Catchment^(3/4)

Lag Time of 1-h Unit Hydrograph given Duration of Rainfall Excess Formula

Lag Time of a 1-h Unit Hydrograph = Duration of Excess Rainfall in Hours/1.1
Tp1 = D/1.1

What is Effective Rainfall?

Effective Rainfall (or precipitation) is equal to the difference between total rainfall and actual evapotranspiration. At ground level, water from effective rainfall is split into two fractions: surface run-off and infiltration.

What is meant by Unit Hydrograph?

The Unit Hydrograph is the hydrograph that results from a unit (e.g. 1 inch) excess rainfall uniformly over the watershed at a uniform rate during a given period. Unit hydrographs assume a uniform distribution of rainfall over the catchment and uniform intensity during the duration of rainfall excess. In practice, these two conditions are never satisfied.

How to Calculate Lag Time of 1-h Unit Hydrograph given Duration of Rainfall Excess?

Lag Time of 1-h Unit Hydrograph given Duration of Rainfall Excess calculator uses Lag Time of a 1-h Unit Hydrograph = Duration of Excess Rainfall in Hours/1.1 to calculate the Lag Time of a 1-h Unit Hydrograph, The Lag Time of 1-h Unit Hydrograph given Duration of Rainfall Excess formula is defined as the delay between the maximum rainfall amount and the peak discharge. Lag Time of a 1-h Unit Hydrograph is denoted by Tp1 symbol.

How to calculate Lag Time of 1-h Unit Hydrograph given Duration of Rainfall Excess using this online calculator? To use this online calculator for Lag Time of 1-h Unit Hydrograph given Duration of Rainfall Excess, enter Duration of Excess Rainfall in Hours (D) and hit the calculate button. Here is how the Lag Time of 1-h Unit Hydrograph given Duration of Rainfall Excess calculation can be explained with given input values -> 0.000611 = 8712/1.1.

FAQ

What is Lag Time of 1-h Unit Hydrograph given Duration of Rainfall Excess?
The Lag Time of 1-h Unit Hydrograph given Duration of Rainfall Excess formula is defined as the delay between the maximum rainfall amount and the peak discharge and is represented as Tp1 = D/1.1 or Lag Time of a 1-h Unit Hydrograph = Duration of Excess Rainfall in Hours/1.1. Duration of Excess Rainfall in Hours is time during which continuous rain is observed at a given point or within a given area or Excess Rainfall of the Unit Hydrograph used in deriving the S-curve.
How to calculate Lag Time of 1-h Unit Hydrograph given Duration of Rainfall Excess?
The Lag Time of 1-h Unit Hydrograph given Duration of Rainfall Excess formula is defined as the delay between the maximum rainfall amount and the peak discharge is calculated using Lag Time of a 1-h Unit Hydrograph = Duration of Excess Rainfall in Hours/1.1. To calculate Lag Time of 1-h Unit Hydrograph given Duration of Rainfall Excess, you need Duration of Excess Rainfall in Hours (D). With our tool, you need to enter the respective value for Duration of Excess Rainfall in Hours 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 Lag Time of a 1-h Unit Hydrograph?
In this formula, Lag Time of a 1-h Unit Hydrograph uses Duration of Excess Rainfall in Hours. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Lag Time of a 1-h Unit Hydrograph = 1.56/((Peak discharge of a D-h Unit hydrograph/Area of Catchment)^0.9)
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