Phi Index for Practical Use Solution

STEP 0: Pre-Calculation Summary
Formula Used
Φ-Index = (Intensity of Rainfall-Runoff in Cm from 24h Rainfall)/24
φ = (I-R24-h)/24
This formula uses 3 Variables
Variables Used
Φ-Index - Φ-Index of a catchment is the constant infiltration capacity that would yield the actual total runoff for a given rainfall amount.
Intensity of Rainfall - (Measured in Centimeter per Hour) - Intensity of Rainfall is the ratio of the total amount of rain (rainfall depth) falling during a given period to the duration of the period.
Runoff in Cm from 24h Rainfall - (Measured in Centimeter) - Runoff in Cm from 24h Rainfall of intensity in centimeters per hour (cm/hr).
STEP 1: Convert Input(s) to Base Unit
Intensity of Rainfall: 0.8 Centimeter per Hour --> 0.8 Centimeter per Hour No Conversion Required
Runoff in Cm from 24h Rainfall: 0.13 Centimeter --> 0.13 Centimeter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
φ = (I-R24-h)/24 --> (0.8-0.13)/24
Evaluating ... ...
φ = 0.0279166666666667
STEP 3: Convert Result to Output's Unit
0.0279166666666667 --> No Conversion Required
FINAL ANSWER
0.0279166666666667 0.027917 <-- Φ-Index
(Calculation completed in 00.004 seconds)

Credits

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Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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Indian Institute of Information Technology (IIIT), Bhopal
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Φ Index Calculators

Total Direct Runoff Depth
​ LaTeX ​ Go Total Direct Runoff = Total Storm Precipitation-(Φ-Index*Duration of Rainfall Excess)
Pulses of Time Interval from Rainfall Hyetograph
​ LaTeX ​ Go Pulses of Time Interval = Duration/Time Interval
Duration of Rainfall from Rainfall Hyetograph
​ LaTeX ​ Go Duration = Pulses of Time Interval*Time Interval
Time Interval of Rainfall Hyetograph
​ LaTeX ​ Go Time Interval = Duration/Pulses of Time Interval

Phi Index for Practical Use Formula

​LaTeX ​Go
Φ-Index = (Intensity of Rainfall-Runoff in Cm from 24h Rainfall)/24
φ = (I-R24-h)/24

What is φ-Index?

The φ index of a catchment is defined as the constant infiltration capacity that would yield the actual total runoff for a given rainfall amount. In principle, the magnitude of the φ index is bounded between the maximum and minimum average infiltration capacities of the catchment during a rainfall event.

How to Calculate Phi Index for Practical Use?

Phi Index for Practical Use calculator uses Φ-Index = (Intensity of Rainfall-Runoff in Cm from 24h Rainfall)/24 to calculate the Φ-Index, The Phi Index for Practical Use formula is defined as the constant infiltration capacity that would yield the actual total runoff for a given rainfall amount. Φ-Index is denoted by φ symbol.

How to calculate Phi Index for Practical Use using this online calculator? To use this online calculator for Phi Index for Practical Use, enter Intensity of Rainfall (I) & Runoff in Cm from 24h Rainfall (R24-h) and hit the calculate button. Here is how the Phi Index for Practical Use calculation can be explained with given input values -> 0.027917 = (2.22222222222222E-06-0.0013)/24.

FAQ

What is Phi Index for Practical Use?
The Phi Index for Practical Use formula is defined as the constant infiltration capacity that would yield the actual total runoff for a given rainfall amount and is represented as φ = (I-R24-h)/24 or Φ-Index = (Intensity of Rainfall-Runoff in Cm from 24h Rainfall)/24. Intensity of Rainfall is the ratio of the total amount of rain (rainfall depth) falling during a given period to the duration of the period & Runoff in Cm from 24h Rainfall of intensity in centimeters per hour (cm/hr).
How to calculate Phi Index for Practical Use?
The Phi Index for Practical Use formula is defined as the constant infiltration capacity that would yield the actual total runoff for a given rainfall amount is calculated using Φ-Index = (Intensity of Rainfall-Runoff in Cm from 24h Rainfall)/24. To calculate Phi Index for Practical Use, you need Intensity of Rainfall (I) & Runoff in Cm from 24h Rainfall (R24-h). With our tool, you need to enter the respective value for Intensity of Rainfall & Runoff in Cm from 24h Rainfall 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 Φ-Index?
In this formula, Φ-Index uses Intensity of Rainfall & Runoff in Cm from 24h Rainfall. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Φ-Index = (Total Storm Precipitation-Total Direct Runoff)/Duration of Rainfall Excess
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