What Is the View Factor Between Two Nested Cubes?

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SUMMARY

The view factor between a 1m cube located within a 2m cube is determined by the proportion of radiation emitted from the smaller cube that strikes the inner surface of the larger cube. Despite initial assumptions that the view factor would be 1 due to complete encapsulation, it is clarified that the outer surface of the smaller cube does not 'see' itself, leading to a view factor of 0. The discussion emphasizes the importance of understanding the geometric relationship between the two cubes in calculating view factors.

PREREQUISITES
  • Understanding of view factors in radiative heat transfer
  • Basic knowledge of geometric relationships in three-dimensional space
  • Familiarity with radiation principles and surface interactions
  • Concept of radiation exchange between surfaces
NEXT STEPS
  • Study the derivation of view factors in complex geometries
  • Learn about the use of the Monte Carlo method for radiation analysis
  • Explore the application of the radiosity method in thermal radiation
  • Investigate the impact of surface orientation on view factors
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Students and professionals in thermal engineering, physicists studying radiative heat transfer, and anyone involved in the design of thermal systems requiring accurate radiation calculations.

badgermanb
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1. A cube 1m on a side is located within a cube of 2m on a side. If the cubes do not touch, what is the view factor between the outer surface of the smaller cube and the inner surface of the larger cube?


2. View Factor = the proportion of all the radiation which leaves a surface "A" and strikes a surface "B".


3. Since the inner cube is "floating" within the larger cube, wouldn't the view factor just be 1? If the smaller cube is completely encapsulated by the larger one, all (100%) of its radiation would strike the inside surface of the larger cube.

Is this right? I would just like to confirm this, as I am relatively new at figuring this kind of thing out.

Thanks
 
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Well the outer surface of the 1m cube does not 'see' itself, so I think it would just be 1 as well.
 

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