Problem 1. (Taken from Bergman et.al. 2011*) An igloo is built in the shape of a hemisphere, with an inner radius of 1.8 m and walls of compacted snow that are 0.5 m thick. On the inside of the igloo the surface heat transfer coefficient is 6 W/m².K; on the outside, under normal wind conditions, it is 15 W/m².K. The thermal conductivity of compacted snow is 0.15 W/m.K. The temperature of the ice cap on which the igloo sits is -20 °C and has the same thermal conductivity as the compacted snow. Artic wind Too Tair Ice cap Tice Igloo Assuming that the occupants' body heat provides a continuous source of 320 W within the igloo, calculate the inside air temperature when the outside air temperature is To = -40 °C draw a thermal circuit for the heat transfer from the igloo. Be sure to consider heat losses through the floor of igloo where the heat transfer coefficient is 6 W/m²K.
Problem 1. (Taken from Bergman et.al. 2011*) An igloo is built in the shape of a hemisphere, with an inner radius of 1.8 m and walls of compacted snow that are 0.5 m thick. On the inside of the igloo the surface heat transfer coefficient is 6 W/m².K; on the outside, under normal wind conditions, it is 15 W/m².K. The thermal conductivity of compacted snow is 0.15 W/m.K. The temperature of the ice cap on which the igloo sits is -20 °C and has the same thermal conductivity as the compacted snow. Artic wind Too Tair Ice cap Tice Igloo Assuming that the occupants' body heat provides a continuous source of 320 W within the igloo, calculate the inside air temperature when the outside air temperature is To = -40 °C draw a thermal circuit for the heat transfer from the igloo. Be sure to consider heat losses through the floor of igloo where the heat transfer coefficient is 6 W/m²K.
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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Transcribed Image Text:Problem 1. (Taken from Bergman et.al. 2011*) An igloo is built in the shape of a hemisphere,
with an inner radius of 1.8 m and walls of compacted snow that are 0.5 m thick. On the inside of
the igloo the surface heat transfer coefficient is 6 W/m².K; on the outside, under normal wind
conditions, it is 15 W/m².K. The thermal conductivity of compacted snow is 0.15 W/m.K. The
temperature of the ice cap on which the igloo sits is -20 °C and has the same thermal conductivity
as the compacted snow.
Artic wind Too
Tair
Ice cap Tice
Igloo
Assuming that the occupants' body heat provides a continuous source of 320 W within the igloo,
calculate the inside air temperature when the outside air temperature is T∞ = -40 °C draw a thermal
circuit for the heat transfer from the igloo. Be sure to consider heat losses through the floor of igloo
where the heat transfer coefficient is 6 W/m²K.
Expert Solution
Step 1 Given
The inner radius of the hemisphere is
The thickness of the hemisphere is
The heat transfer coefficient inside the igloo is
The heat transfer coefficient outside the igloo is
The thermal conductivity of snow is
The thermal conductivity of ice cap is
The temperature of the ice cap is
The outside temperature is
The heat source is .
The heat transfer coefficient of the floor is
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