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Time of Concentration is a concept used in hydrology to measure the response of a watershed to a rain event. Check FAQs
tc=0.01947L0.77S-0.385
tc - Time of Concentration?L - Maximum Length of Travel of Water?S - Slope of Catchment?

Kirpich Equation Example

With values
With units
Only example

Here is how the Kirpich Equation equation looks like with Values.

Here is how the Kirpich Equation equation looks like with Units.

Here is how the Kirpich Equation equation looks like.

86.7077Edit=0.019473Edit0.770.003Edit-0.385
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Kirpich Equation Solution

Follow our step by step solution on how to calculate Kirpich Equation?

FIRST Step Consider the formula
tc=0.01947L0.77S-0.385
Next Step Substitute values of Variables
tc=0.019473km0.770.003-0.385
Next Step Convert Units
tc=0.019473000m0.770.003-0.385
Next Step Prepare to Evaluate
tc=0.0194730000.770.003-0.385
Next Step Evaluate
tc=86.7076936638551s
LAST Step Rounding Answer
tc=86.7077s

Kirpich Equation Formula Elements

Variables
Time of Concentration
Time of Concentration is a concept used in hydrology to measure the response of a watershed to a rain event.
Symbol: tc
Measurement: TimeUnit: s
Note: Value can be positive or negative.
Maximum Length of Travel of Water
Maximum Length of Travel of Water in the watershed.
Symbol: L
Measurement: LengthUnit: km
Note: Value should be greater than 0.
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.
Symbol: S
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.

Other Formulas to find Time of Concentration

​Go Time of Concentration from Kirpich Adjustment Factor
tc=0.01947K10.77
​Go Kirpich equation for Time of Concentration
tc=0.01947(L0.77)S-0.385

Other formulas in Kirpich Equation(1940) category

​Go Maximum Length of Travel of Water
L=(tc0.01947S-0.385)10.77
​Go Slope of Catchment about given Time of Concentration
S=(tc0.01947L0.77)-10.385
​Go Kirpich Adjustment Factor
K1=L3ΔH

How to Evaluate Kirpich Equation?

Kirpich Equation evaluator uses Time of Concentration = 0.01947*Maximum Length of Travel of Water^(0.77)*Slope of Catchment^(-0.385) to evaluate 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 tc symbol.

How to evaluate Kirpich Equation using this online evaluator? To use this online evaluator for Kirpich Equation, enter Maximum Length of Travel of Water (L) & Slope of Catchment (S) and hit the calculate button.

FAQs on Kirpich Equation

What is the formula to find Kirpich Equation?
The formula of Kirpich Equation is expressed as Time of Concentration = 0.01947*Maximum Length of Travel of Water^(0.77)*Slope of Catchment^(-0.385). Here is an example- 86.70769 = 0.01947*3000^(0.77)*0.003^(-0.385).
How to calculate Kirpich Equation?
With Maximum Length of Travel of Water (L) & Slope of Catchment (S) we can find Kirpich Equation using the formula - Time of Concentration = 0.01947*Maximum Length of Travel of Water^(0.77)*Slope of Catchment^(-0.385).
What are the other ways to Calculate Time of Concentration?
Here are the different ways to Calculate Time of Concentration-
  • Time of Concentration=0.01947*Kirpich Adjustment Factor^0.77OpenImg
  • Time of Concentration=0.01947*(Maximum Length of Travel of Water^0.77)*Slope of Catchment^(-0.385)OpenImg
Can the Kirpich Equation be negative?
Yes, the Kirpich Equation, measured in Time can be negative.
Which unit is used to measure Kirpich Equation?
Kirpich Equation is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Kirpich Equation can be measured.
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