Question

Consider a 3-m * 3-m * 3-m cubical furnace whose top and side surfaces closely approximate black surfaces at a temperature of 1200 k. the base surface has an emissivity of 0.8, and is maintained at 800 k. determine the net rate of radiation heat transfer to the base surface from the top and side surfaces.

Answer 1

To find the net rate of radiation heat transfer from the top and side surfaces of the cubical furnace to the base surface, we can use the Stefan-Boltzmann Law formula.

Step-by-step explanation:

To determine the net rate of radiation heat transfer to the base surface from the top and side surfaces of the cubical furnace, we need to calculate the net rate of radiation heat transfer between the two surfaces. The net rate can be calculated using the Stefan-Boltzmann Law formula:

Net rate = A₁ε₁σ(T₁^4 - T₂^4)

Where A is the surface area, ε is the emissivity, σ is the Stefan-Boltzmann constant, and T₁ and T₂ are the temperatures of the two surfaces. In this case, the base surface and the top and side surfaces are exchanging radiation heat. We can calculate the net rate of radiation heat transfer by plugging in the given values:

Net rate = (3*3*0.8) * 0.8 * 5.67 x 10^-8 * (800^4 - 1200^4)

Solving this equation will give us the net rate of radiation heat transfer from the top and side surfaces to the base surface of the furnace.