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Say an area exists where temperatures of -10°C can be sustained at the ground surface for up to 45 days. How deep should pipes be buried to keep from exposing them to freezing temperatures? Assume the ground starts at a uniform 5°C. For the soil, use a thermal conductivity k of 0.35 W/m∙K and a thermal diffusivity  of 1.5 x 10-7 m2 /s.

Say an area exists where temperatures of -10°C can be sustained at the ground surface for up to 45 days. How deep should pipes be buried to keep from exposing them to freezing temperatures? Assume the ground starts at a uniform 5°C. For the soil, use a thermal conductivity k of 0.35 W/m∙K and a thermal diffusivity  of 1.5 x 10-7 m2 /s.

Elements Of Electromagnetics
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
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Ok, sometimes the semi-infinite approach is about long times with semi-infinite geometries. The ground at northern
climates with sustained low temperatures will freeze to a certain depth, something to be aware of when burying water
pipes. Say an area exists where temperatures of -10°C can be sustained at the ground surface for up to 45 days. How
deep should pipes be buried to keep from exposing them to freezing temperatures? Assume the ground starts at a
uniform 5°C. For the soil, use a thermal conductivity k of 0.35 W/m∙K and a thermal diffusivity  of 1.5 x 10-7 m2
/s. 

Expert Solution
Step 1

Solution:

Given Data:

Tmin=-10oCt=45 daysTs=5oCk=0.35 W/m-kα=1.5×10-7 m2/s

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