A multipurpose reservoir with a surface area of 1 km² is being designed for Gibson, TN. Thedaily average inflow from a nearby stream is 0.05 m³/s. Annual precipitation averages 1400mm/yr and losses to evaporation and seepage to groundwater are expected to be 500 mm/yr. Aminimum daily release of 0.01 m³/s is required to protect downstream fisheries. Assuming thevolume of the lake is 107,000 m³, how long will it take to fill the reservoir?

Answered: A multipurpose reservoir with a surface…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Concept explainers

Question

100%

A multipurpose reservoir with a surface area of 1 km² is being designed for Gibson, TN. The
daily average inflow from a nearby stream is 0.05 m³/s. Annual precipitation averages 1400
mm/yr and losses to evaporation and seepage to groundwater are expected to be 500 mm/yr. A
minimum daily release of 0.01 m³/s is required to protect downstream fisheries. Assuming the
volume of the lake is 107,000 m³, how long will it take to fill the reservoir?

Expert Solution

Step 1

$T o t a l A r e a o f t h e r e s e r v o i r = 1 k m^{2} = 10^{6} m^{2} A v e r a g e i n f l o w f r o m s t r e a m = 0.05 m^{3} / s e c 1 y e a r = 31.5 \times 10^{6} e c o n d F o r a y e a r t o t a l i n f l o w = 0.05 \times 31.5 \times 10^{6} = 1.5 \times 10^{6} m^{3} A n n u a l p r e c i p i t a t i o n r a t e 1400 m m / y e a r 1400 m m = 1.4 m / y e a r T o t a l w a t e r r e c e i v e d b y r a i n f a l l i n a y e a r = 1.4 \times 10^{6} m^{2} T o t a l e v a p o r a t i o n a n d s e e p a g e = 500 m m / y e a r 500 m m = 0.5 m / y e a r T o t a l l o s s o f w a t e r b y o u t l e t = 0.01 \times 31.5 \times 10^{6} = 0.31 \times 10^{6} m^{3}$

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions