During a warm summer night, the air inside a house is maintained at a fixed temperaturevia an air conditioning system. Separating the inside air from the outside air is a plane wall.The inner surface of the wall exchanges energy with the air inside the house via convection;the outer surface of the wall exchanges energy with the surrounding air via convection andthe night sky via radiation. Known system parameters are listed below.Inner air temperature ?? = 26°CSurrounding air temperature ?∞ = 33°CNight sky temperature ?? = 4°CWall thermal conductivity ?Wall-air convection coefficient ℎ = 30 W/m2-KWall emissivity ? = 0.85Wall thickness ?a) Set up the equations that you allow you to calculate the heat flux through the wall.Keep everything symbolic and be careful with your heat transfer directions.Hint: If the AC is on, what does that tell you about the net direction of heat transfer?b) Write a computer script that calculates the heat flux through the wall for 20 values ofthe ratio of the wall thickness to the thermal conductivity, 0.1 ≤ ?? ≤ 0.8. This ratio isknown as the thermal conduction resistance of the wall, per unit area of wall, ?cond′′ .This resistance is analogous to electrical resistance, but instead of voltage andelectrical current we have temperature and heat flux. During a warm summer night, the air inside a house is maintained at a fixed temperaturevia an air conditioning system. Separating the inside air from the outside air is a plane wall.The inner surface of the wall exchanges energy with the air inside the house via convection;the outer surface of the wall exchanges energy with the surrounding air via convection andthe night sky via radiation. Known system parameters are listed below.Inner air temperatureSurrounding air temperatureNight sky temperatureWall thermal conductivityWall-air convection coefficientWall emissivityWall thicknessT₂ = 26°CToo = 33°CT₂ = 4°Ckh, Tah = 30 W/m²-Kε = 0.85La) Set up the equations that you allow you to calculate the heat flux through the wall.Keep everything symbolic and be careful with your heat transfer directions.Hint: If the AC is on, what does that tell you about the net direction of heat transfer?b) Write a computer script that calculates the heat flux through the wall for 20 values ofthe ratio of the wall thickness to the thermal conductivity, 0.1 ≤ ≤0.8. This ratio isknown as the thermal conduction resistance of the wall, per unit area of wall, RondThis resistance is analogous to electrical resistance, but instead of voltage andelectrical current we have temperature and heat flux.HĽAh, Tooε T

Given data:Inner air temperature (Ta) = 26°CNight sky temperature (Ts) = 4°CSurrounding air…

During a warm summer night, the air inside a house is maintained at a fixed temperature via an air conditioning system. Separating the inside air from the outside air is a plane wall. The inner surface of the wall exchanges energy with the air inside the house via convection; the outer surface of the wall exchanges energy with the surrounding air via convection and the night sky via radiation. Known system parameters are listed below. Inner air temperature Surrounding air temperature Night sky temperature Wall thermal conductivity Wall-air convection coefficient Wall emissivity Wall thickness T₁ = 26°C Too = 33°C T₂ = 4°C k h = 30 W/m²-K € = 0.85 L a) Set up the equations that you allow you to calculate the heat flux through the wall. Keep everything symbolic and be careful with your heat transfer directions. Hint: If the AC is on, what does that tell you about the net direction of heat transfer? b) Write a computer script that calculates the heat flux through the wall for 20 values of the ratio of the wall thickness to the thermal conductivity, 0.1 0.8. This ratio is known as the thermal conduction resistance of the wall, per unit area of wall, Rond This resistance is analogous to electrical resistance, but instead of voltage and electrical current we have temperature and heat flux.

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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During a warm summer night, the air inside a house is maintained at a fixed temperature
via an air conditioning system. Separating the inside air from the outside air is a plane wall.
The inner surface of the wall exchanges energy with the air inside the house via convection;
the outer surface of the wall exchanges energy with the surrounding air via convection and
the night sky via radiation. Known system parameters are listed below.
Inner air temperature ?? = 26°C
Surrounding air temperature ?∞ = 33°C
Night sky temperature ?? = 4°C
Wall thermal conductivity ?
Wall-air convection coefficient ℎ = 30 W/m2-K
Wall emissivity ? = 0.85
Wall thickness ?
a) Set up the equations that you allow you to calculate the heat flux through the wall.
Keep everything symbolic and be careful with your heat transfer directions.
Hint: If the AC is on, what does that tell you about the net direction of heat transfer?
b) Write a computer script that calculates the heat flux through the wall for 20 values of
the ratio of the wall thickness to the thermal conductivity, 0.1 ≤ ?
? ≤ 0.8. This ratio is
known as the thermal conduction resistance of the wall, per unit area of wall, ?cond
′′ .
This resistance is analogous to electrical resistance, but instead of voltage and
electrical current we have temperature and heat flux.

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