Kirpich equation for Time of Concentration 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 for Time of Concentration [t_c]

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Kirpich equation for Time of Concentration

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 for Time of Concentration 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 for Time of Concentration 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 Time of Concentration?

Time of concentration is a concept used in hydrology to measure the response of a watershed to a rain event. It is defined as the time needed for water to flow from the most remote point in a watershed to the watershed outlet. It is a function of the topography, geology, and land use within the watershed.

What is the Catchment Area of a river?

A water catchment (commonly referred to as a “watershed”) is an area of land where all water flows to a single stream, river, lake or even ocean. Natural boundaries of water catchments can be very small for a single creek or stream or quite large.

How to Calculate Kirpich equation for Time of Concentration?

Kirpich equation for Time of Concentration 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 for Time of Concentration 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 Kirpich Equation (1940). Time of Concentration is denoted by t_c symbol.

How to calculate Kirpich equation for Time of Concentration using this online calculator? To use this online calculator for Kirpich equation for Time of Concentration, enter Maximum Length of Travel of Water (L) & Slope of Catchment (S) and hit the calculate button. Here is how the Kirpich equation for Time of Concentration calculation can be explained with given input values -> 4.677042 = 0.01947*(3000^0.77)*0.003^(-0.385).

FAQ

What is Kirpich equation for Time of Concentration?

The Kirpich Equation for Time of Concentration 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 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 for Time of Concentration?

The Kirpich Equation for Time of Concentration 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 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 for Time of Concentration, 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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