Peak Discharge of D-h Unit Hydrograph given Lag Time Solution

STEP 0: Pre-Calculation Summary
Formula Used
Peak discharge of a D-h Unit hydrograph = (Area of Catchment)*(1.56/Lag Time of a 1-h Unit Hydrograph)^(1/0.9)
Qpd = (A)*(1.56/Tp1)^(1/0.9)
This formula uses 3 Variables
Variables Used
Peak discharge of a D-h Unit hydrograph - (Measured in Cubic Meter per Second) - Peak discharge of a D-h Unit hydrograph is the maximum volume flow rate displays in a unit hydrograph.
Area of Catchment - (Measured in Square Meter) - Area of catchment is the area from which rain flows into a particular river or lake.
Lag Time of a 1-h Unit Hydrograph - (Measured in Hour) - Lag Time of a 1-h Unit Hydrograph is the time interval from the midpoint of the rainfall excess to the peak.
STEP 1: Convert Input(s) to Base Unit
Area of Catchment: 3 Square Kilometer --> 3000000 Square Meter (Check conversion here)
Lag Time of a 1-h Unit Hydrograph: 26.48 Hour --> 26.48 Hour No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Qpd = (A)*(1.56/Tp1)^(1/0.9) --> (3000000)*(1.56/26.48)^(1/0.9)
Evaluating ... ...
Qpd = 129028.058709578
STEP 3: Convert Result to Output's Unit
129028.058709578 Cubic Meter per Second --> No Conversion Required
FINAL ANSWER
129028.058709578 129028.1 Cubic Meter per Second <-- Peak discharge of a D-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)

Peak Discharge of D-h Unit Hydrograph given Lag Time Formula

Peak discharge of a D-h Unit hydrograph = (Area of Catchment)*(1.56/Lag Time of a 1-h Unit Hydrograph)^(1/0.9)
Qpd = (A)*(1.56/Tp1)^(1/0.9)

What is Basin lag?

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

What is D-h Unit Hydrograph?

The unit hydrograph represents the lumped response of the catchment to a unit rainfall excess of D-h duration to produce a direct runoff hydrograph. It relates only the direct runoff to rainfall excess. Hence the volume of water contained in the unit hydrograph must be equal to the rainfall excess.

How to Calculate Peak Discharge of D-h Unit Hydrograph given Lag Time?

Peak Discharge of D-h Unit Hydrograph given Lag Time calculator uses Peak discharge of a D-h Unit hydrograph = (Area of Catchment)*(1.56/Lag Time of a 1-h Unit Hydrograph)^(1/0.9) to calculate the Peak discharge of a D-h Unit hydrograph, The Peak Discharge of D-h Unit Hydrograph given Lag Time formula is defined as the maximum volume flow rate passing a particular location during a storm event. Peak discharge of a D-h Unit hydrograph is denoted by Qpd symbol.

How to calculate Peak Discharge of D-h Unit Hydrograph given Lag Time using this online calculator? To use this online calculator for Peak Discharge of D-h Unit Hydrograph given Lag Time, enter Area of Catchment (A) & Lag Time of a 1-h Unit Hydrograph (Tp1) and hit the calculate button. Here is how the Peak Discharge of D-h Unit Hydrograph given Lag Time calculation can be explained with given input values -> 129028.1 = (3000000)*(1.56/95328)^(1/0.9).

FAQ

What is Peak Discharge of D-h Unit Hydrograph given Lag Time?
The Peak Discharge of D-h Unit Hydrograph given Lag Time formula is defined as the maximum volume flow rate passing a particular location during a storm event and is represented as Qpd = (A)*(1.56/Tp1)^(1/0.9) or Peak discharge of a D-h Unit hydrograph = (Area of Catchment)*(1.56/Lag Time of a 1-h Unit Hydrograph)^(1/0.9). Area of catchment is the area from which rain flows into a particular river or lake & Lag Time of a 1-h Unit Hydrograph is the time interval from the midpoint of the rainfall excess to the peak.
How to calculate Peak Discharge of D-h Unit Hydrograph given Lag Time?
The Peak Discharge of D-h Unit Hydrograph given Lag Time formula is defined as the maximum volume flow rate passing a particular location during a storm event is calculated using Peak discharge of a D-h Unit hydrograph = (Area of Catchment)*(1.56/Lag Time of a 1-h Unit Hydrograph)^(1/0.9). To calculate Peak Discharge of D-h Unit Hydrograph given Lag Time, you need Area of Catchment (A) & Lag Time of a 1-h Unit Hydrograph (Tp1). With our tool, you need to enter the respective value for Area of Catchment & Lag Time of a 1-h Unit Hydrograph 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 Peak discharge of a D-h Unit hydrograph?
In this formula, Peak discharge of a D-h Unit hydrograph uses Area of Catchment & Lag Time of a 1-h Unit Hydrograph. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Peak discharge of a D-h Unit hydrograph = 1.79*Area of Catchment^(3/4)
  • Peak discharge of a D-h Unit hydrograph = 37.4*Area of Catchment^(3/4)*Weighted Mean Slope^(2/3)
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