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Heat transfer, via conduction, plays an important role in daily life. This is especially true for the Inuits, who find shelter in their snow -
Heat transfer, via conduction, plays an important role in daily life. This is
especially true for the Inuits, who find shelter in their snowbuilt Igloos that protect them
from the low outside temperature.
In this problem, we will consider a half spherical igloo of radius The wall of the
igloo consists of of thickly compressed snow blocks. The heat conductivity of the
compressed snow is
If the outside temperature is and the inside needs to be at : how many
humans need to be inside the igloo to achieve this with only the heat produced by the
humans?
Use the following data and assumptions:
the situation is steady state
heat is only lost through the wall of the igloo so we ignore the floor
the only resistance against the heat flow is in the walls of the igloo
a human produces about Watt
a In a steady state, what is the relation between the heat flow through the wall and
the temperature difference across the wall?
b Set up a heat balance for the igloo.
c Compute how many people are roughly needed for the situation sketched above.
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