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Kirpich equation is used to determine which one, of the following?
  • a)
    Run-off from a given rainfall
  • b)
    Base time of a un it hydrog raph
  • c)
    Time of concentration in run-off hydrograph
  • d)
    None of the above
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Kirpich equation is used to determine which one, of the following?a)Ru...
Kirpich equation is an empirical relation used for the estimation of the time of concentration. It is given as,
tc = 0.01947 L0.77 S-0.385
where, tc = time of concentration in minutes 
L = maximum length of travel of water (m)
S = slope of the catchment = ΔH/L
ΔH = difference in elevation between the most remote point on the catchment outlet.
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Kirpich equation is used to determine which one, of the following?a)Ru...
Kirpich equation for determining Time of Concentration in a run-off hydrograph

Kirpich equation is a widely used method for estimating the time of concentration (Tc) in a watershed. The time of concentration is the time taken for the water to travel from the farthest point in the watershed to the outlet of the watershed.

Kirpich equation is based on the assumption that the velocity of flow in the channels increases with the increase in the slope of the channel. The equation is given by:

Tc = C(L/[(S)^(1/2)])

Where,
Tc = time of concentration in minutes
C = empirical coefficient (in minutes)
L = length of the longest flow path in the watershed (in feet)
S = average slope of the longest flow path (in feet per foot)

The value of the empirical coefficient (C) is dependent on the type of land use and the drainage area of the watershed.

Importance of determining Tc in a run-off hydrograph

The time of concentration is an important parameter in the design of drainage systems, culverts, bridges, and other hydraulic structures. It is also used in flood routing studies, where the hydrograph of a river is analyzed to predict the flood wave downstream.

Conclusion

Kirpich equation is used to determine the time of concentration in a run-off hydrograph. It is important to determine Tc for designing hydraulic structures and predicting flood waves downstream.
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