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Question
Infiltration rate for a drainage basin is given by Horton's exponential model fp=80+20e−t , where fp is in mm/hour and t in hour. Assume rainfall to take place at capacity rates, the depth of infiltration in the last 30 mins of a storm of 60 minutes duration would be _____ mm.
Infiltration rate for a drainage basin is given by Horton's exponential model fp=80+20e−t , where fp is in mm/hour and t in hour. Assume rainfall to take place at capacity rates, the depth of infiltration in the last 30 mins of a storm of 60 minutes duration would be _____ mm.
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Solution
The correct option is A 44.77
F=∫1.00.5(80+20e−t)dt
F=[80t−20e−t]1.00.5
F=80−7.36−40−12.13
F=44.77 mm
F=∫1.00.5(80+20e−t)dt
F=[80t−20e−t]1.00.5
F=80−7.36−40−12.13
F=44.77 mm
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