Emissivity Dimensional Analysis

In summary, the conversation discusses the topic of emissivity, which is a dimensionless ratio that represents the ability of a material's surface to emit energy through radiation. The conversation also touches upon the use of equations and dimensional analysis to understand and derive the emissivity formula.
  • #1
mikekyrou
11
0

Homework Statement



Does anyone know where can i find (book?) the dimensional analysis of emissivity?

Homework Equations





The Attempt at a Solution

 
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  • #2
hi mikekyrou! :smile:

emissivity is a dimensionless ratio (i supppose it might be better called relative emissivity)

see http://en.wikipedia.org/wiki/Emissivity" …
The emissivity of a material (usually written ε or e) is the relative ability of it's [spelling!] surface to emit energy by radiation. It is the ratio of energy radiated by a particular material to energy radiated by a black body at the same temperature. A true black body would have an ε = 1 while any real object would have ε < 1. Emissivity is a dimensionless quantity.​
 
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  • #3
Thanks for the reply tiny-tim. I know what is emissivity and i want to prove that emissivity is dimensionless. I know that is because is a ratio but i want to prove it through equations(dimensional analysis-using mass,length,time).
 
  • #4
but if it's a ratio of two things that are the same dimensionally, then it has to be dimensionless
 
  • #5

1. What is emissivity?

Emissivity is a measure of an object's ability to emit thermal radiation. It is represented by a value between 0 and 1, with 0 being a perfect reflector and 1 being a perfect emitter.

2. What is dimensional analysis?

Dimensional analysis is a method used in physics to check the correctness of equations and to convert between different units of measurement. It involves analyzing the dimensions of physical quantities, such as length, time, and mass, to ensure they are consistent on both sides of an equation.

3. How is emissivity related to dimensional analysis?

Emissivity is a dimensionless quantity, meaning it has no units. This makes it an ideal subject for dimensional analysis. By using dimensional analysis, we can determine the relationship between emissivity and other variables, such as temperature, in an equation or experiment.

4. Why is emissivity important in thermal radiation?

Emissivity plays a crucial role in thermal radiation, as it determines the amount of heat an object can emit or absorb. A higher emissivity means an object can emit or absorb more heat, while a lower emissivity means it is a better insulator. This is important in applications such as building insulation, thermodynamics, and climate modeling.

5. How can emissivity be measured?

Emissivity can be measured using various methods, such as using a spectrometer or infrared camera. These methods involve comparing the amount of thermal radiation emitted by a test object to a known standard with a known emissivity value. Other factors, such as surface roughness and temperature, must also be taken into account when measuring emissivity.

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