Energy emitted by radiation from a pipe

In summary, the problem involves calculating the heat emission rate from a vertical steam pipe with a diameter of 8 cm and an emissivity of 0.8, given that the surface temperature is 950C and the surrounding air and room temperature is 270C. Using Stefan's law and conversion factors, the calculated heat emission rate is 30.6 [Calorie/Sec/m], but the correct answer according to the book is 29 [Calorie/Sec/m].
  • #1
Karol
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Homework Statement


A vertical steam pipe of diameter 8 cm and emissivity e=0.8 has it's surface at 950C. The surrounding air and the temperature of the room and things in it are at 270C.
What is the heat emission rate H from the pipe, for meter length, by radiation?

Homework Equations


Stefan's law: [itex]R=e\sigma T^4[/itex]
[tex]\sigma=5.672\times 10^{-8}\left[Watt/m^2\right][/tex]
[tex]1\left[Calorie\right]=4.186\left[Joule\right][/tex]

The Attempt at a Solution


[tex]R=0.8\cdot 5.672\times10^{-8}\left(373^4-300^4\right)=511\left[Watt/m^2\right][/tex]
[tex]H=511\cdot \pi \cdot 0.08\cdot 1=128\left[Watt/m\right][/tex]
[tex]128\left[Watt\right]\div 4.186=30.6\left[Calorie/Sec/m\right][/tex]
The answer, according to the book, is [itex]29\left[Calorie/Sec/m\right][/itex]
 
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  • #2
95C is ~368K not 373K, though using 368K I get only 28 cal/s/m
 
  • #3
The book uses Kelvin as Celsius+273
 

1. What is the source of energy emitted by radiation from a pipe?

The source of energy emitted by radiation from a pipe is thermal energy. When a pipe is heated, the particles within the pipe gain energy and begin to vibrate, creating thermal energy that is then radiated outwards as heat.

2. How does the temperature of the pipe affect the energy emitted by radiation?

The temperature of the pipe directly affects the amount of energy emitted by radiation. As the temperature increases, so does the amount of energy emitted. This is because the particles within the pipe are vibrating at a higher frequency, resulting in more energy being radiated outwards.

3. What factors influence the rate of energy emission from a pipe through radiation?

The rate of energy emission from a pipe through radiation is influenced by several factors, including the temperature of the pipe, the surface area of the pipe, and the type of material the pipe is made of. The higher the temperature and surface area, the greater the rate of energy emission. Certain materials, such as metals, are also more efficient at emitting energy through radiation than others.

4. What is the relationship between the wavelength of the radiation emitted and the temperature of the pipe?

The wavelength of the radiation emitted by a pipe decreases as the temperature of the pipe increases. This is because as the temperature increases, the particles within the pipe vibrate at a higher frequency, resulting in shorter wavelengths being emitted.

5. How is the energy emitted by radiation from a pipe measured?

The energy emitted by radiation from a pipe can be measured using a device called a pyrometer. This device measures the amount of thermal radiation emitted by the pipe and converts it into a temperature reading. Other methods, such as using a spectrometer to measure the wavelength of the radiation, can also be used to calculate the energy emitted.

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