The water main in the cities must be placed at sufficientdepth below the earth’s surface to avoid freezing duringextended periods of subfreezing temperatures. Determine theminimum depth at which the water main must be placed ata location where the soil is initially at 15°C and the earth’ssurface temperature under the worst conditions is expected toremain at -10°C for a period of 75 days. Take the propertiesof soil at that location to be k = 0.7 W/m·K and a = 1.4 *1025 m2/s.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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The water main in the cities must be placed at sufficient
depth below the earth’s surface to avoid freezing during
extended periods of subfreezing temperatures. Determine the
minimum depth at which the water main must be placed at
a location where the soil is initially at 15°C and the earth’s
surface temperature under the worst conditions is expected to
remain at -10°C for a period of 75 days. Take the properties
of soil at that location to be k = 0.7 W/m·K and a = 1.4 *
1025 m2/s.

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