Folloing is the recorded data of a 0.8 km2 wide lake collected over a year: It receive a total rainfall of 1400 mm, the surface inflow and outflow is 0.15 m3/s and  0.17m3/s respectively. If the surface elevation of lake reduces by 45 mm over the year, then determine the lake evaporation (in mm).

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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Folloing is the recorded data of a 0.8 kmwide lake collected over a year:

It receive a total rainfall of 1400 mm, the surface inflow and outflow is 0.15 m3/s and  0.17m3/s respectively. If the surface elevation of lake reduces by 45 mm over the year, then determine the lake evaporation (in mm).

Expert Solution
Step 1

Given:

Duration = 1 year

Area of lake = 0.8 km2

Precipitation, P = 1400 mm

Surface water inflow, Qsi = 0.15 m3/s

Surface water outflow, Qso = 0.17 m3/s

Difference in the surface elevation = -45 mm (the negative sign is due to the reduction in the surface elevation)

Step 2

The water-balance equation is given by,

Civil Engineering homework question answer, step 2, image 1

Step 3

The depth of surface water inflow in a year is calculated as,

Civil Engineering homework question answer, step 3, image 1

 

The depth of surface water outflow in a year is calculated as,

Civil Engineering homework question answer, step 3, image 2

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