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# 3-15 - 3-15 The solution to Problem 3-5 indicates that the...

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3-15. The solution to Problem 3-5 indicates that the diversion of water from Mono Lake to Los Angeles would cause the level of the lake to drop 19 meters. A key parameter in this prediction is the evaporation rate of 36 in/year, and the steady-state analysis gave no indication of the time required for this reduction to occur. In this problem you are asked to develop the unsteady analysis of the Mono Lake water balance. Use available experimental data to predict the evaporation rate, and then use your solution and the new value of the evaporation rate to predict the final values of the radius and the depth of the lake. You are also asked to predict the number of years required for the maximum depth of the lake to come within 10 cm of its final value. The following information is available: Year Surface Area Maximum Depth prior to 1941 56,000 acres 181.5 ft. 1970 45,700 acres 164.0 ft. During these years between 1941 and 1970 the diversion of water from Mono Lake Basin was 56,000 acre-ft. per year and in 1970 this was increased to 110,000 acre-ft. per year. The additional water was obtained from wells in the Mono Lake Basin, and as an approximation you can assume that this caused a decrease in (see Figure 3.5b) by an amount equal to 54,000 acre-ft. per year. Your analysis will lead to an implicit equation for β and a trial and error calculation is required. 4 m ± 3-15. Our objective in this problem is to develop an equation that can be used to predict the depth of Mono Lake as a function of time. This depth,

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3-15 - 3-15 The solution to Problem 3-5 indicates that the...

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