Kirpich Equation Calculator

✖Maximum Length of Travel of Water in the watershed.ⓘ Maximum Length of Travel of Water [L]			+10% -10%
✖Slope of Catchment depends on the stream profile, and is defined as the horizontal distance along the mainstream/the elevation difference between the two end points of the mainstream.ⓘ Slope of Catchment [S]			+10% -10%

✖Time of Concentration is a concept used in hydrology to measure the response of a watershed to a rain event.ⓘ Kirpich Equation [t_c]

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Formula

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Kirpich Equation

Formula

`"t"_{"c"} = 0.01947*"L"^(0.77)*"S"^(-0.385)`

Example

`"86.70769s"=0.01947*("3km")^(0.77)*("0.003")^(-0.385)`

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Kirpich Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Time of Concentration = 0.01947*Maximum Length of Travel of Water^(0.77)*Slope of Catchment^(-0.385)
t_c = 0.01947*L^(0.77)*S^(-0.385)
This formula uses 3 Variables

Variables Used

Time of Concentration - (Measured in Second) - Time of Concentration is a concept used in hydrology to measure the response of a watershed to a rain event.
Maximum Length of Travel of Water - (Measured in Meter) - Maximum Length of Travel of Water in the watershed.
Slope of Catchment - Slope of Catchment depends on the stream profile, and is defined as the horizontal distance along the mainstream/the elevation difference between the two end points of the mainstream.

STEP 1: Convert Input(s) to Base Unit

Maximum Length of Travel of Water: 3 Kilometer --> 3000 Meter (Check conversion here)
Slope of Catchment: 0.003 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_c = 0.01947*L^(0.77)*S^(-0.385) --> 0.01947*3000^(0.77)*0.003^(-0.385)

Evaluating ... ...

t_c = 86.7076936638551

STEP 3: Convert Result to Output's Unit

86.7076936638551 Second --> No Conversion Required

FINAL ANSWER

86.7076936638551 ≈ 86.70769 Second <-- Time of Concentration

(Calculation completed in 00.004 seconds)

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< 6 Kirpich Equation(1940) Calculators

Kirpich Adjustment Factor

Go Kirpich Adjustment Factor = sqrt(Maximum Length of Travel of Water^3/Difference in Elevation)

Maximum Length of Travel of Water

Go Maximum Length of Travel of Water = (Time of Concentration/(0.01947*Slope of Catchment^(-0.385)))^(1/0.77)

Slope of Catchment about given Time of Concentration

Go Slope of Catchment = (Time of Concentration/(0.01947*Maximum Length of Travel of Water^0.77))^(-1/0.385)

Kirpich equation for Time of Concentration

Go Time of Concentration = 0.01947*(Maximum Length of Travel of Water^0.77)*Slope of Catchment^(-0.385)

Kirpich Equation

Go Time of Concentration = 0.01947*Maximum Length of Travel of Water^(0.77)*Slope of Catchment^(-0.385)

Time of Concentration from Kirpich Adjustment Factor

Go Time of Concentration = 0.01947*Kirpich Adjustment Factor^0.77

Kirpich Equation Formula

Time of Concentration = 0.01947*Maximum Length of Travel of Water^(0.77)*Slope of Catchment^(-0.385)
t_c = 0.01947*L^(0.77)*S^(-0.385)

What is Kirpich Formula?

The Kirpich Formula is used to estimate the time of concentration used in surface runoff design to measure the response of a watershed to a rain event.

How to Calculate Kirpich Equation?

Kirpich Equation calculator uses Time of Concentration = 0.01947*Maximum Length of Travel of Water^(0.77)*Slope of Catchment^(-0.385) to calculate the Time of Concentration, The Kirpich Equation formula is defined as it is popularly used for relating the time of concentration of the length or travel and slope of the catchment deduced by the Kirpich Equation (1940). Time of Concentration is denoted by t_c symbol.

How to calculate Kirpich Equation using this online calculator? To use this online calculator for Kirpich Equation, enter Maximum Length of Travel of Water (L) & Slope of Catchment (S) and hit the calculate button. Here is how the Kirpich Equation calculation can be explained with given input values -> 86.70769 = 0.01947*3000^(0.77)*0.003^(-0.385).

FAQ

What is Kirpich Equation?

The Kirpich Equation formula is defined as it is popularly used for relating the time of concentration of the length or travel and slope of the catchment deduced by the Kirpich Equation (1940) and is represented as t_c = 0.01947*L^(0.77)*S^(-0.385) or Time of Concentration = 0.01947*Maximum Length of Travel of Water^(0.77)*Slope of Catchment^(-0.385). Maximum Length of Travel of Water in the watershed & Slope of Catchment depends on the stream profile, and is defined as the horizontal distance along the mainstream/the elevation difference between the two end points of the mainstream.

How to calculate Kirpich Equation?

The Kirpich Equation formula is defined as it is popularly used for relating the time of concentration of the length or travel and slope of the catchment deduced by the Kirpich Equation (1940) is calculated using Time of Concentration = 0.01947*Maximum Length of Travel of Water^(0.77)*Slope of Catchment^(-0.385). To calculate Kirpich Equation, you need Maximum Length of Travel of Water (L) & Slope of Catchment (S). With our tool, you need to enter the respective value for Maximum Length of Travel of Water & Slope of Catchment 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 Time of Concentration?

In this formula, Time of Concentration uses Maximum Length of Travel of Water & Slope of Catchment. We can use 2 other way(s) to calculate the same, which is/are as follows -

Time of Concentration = 0.01947*Kirpich Adjustment Factor^0.77
Time of Concentration = 0.01947*(Maximum Length of Travel of Water^0.77)*Slope of Catchment^(-0.385)

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