Question

In: Mechanical Engineering

Consider a very deep triangular duct (deep in the direction perpendicular to the plane of the...

Consider a very deep triangular duct (deep in the direction perpendicular to the plane of the
paper) made of diffuse gray walls. The cross section of the duct forms an equilateral triangle of
sides 1.5 m each. Two surfaces of the duct namely surface 1 and surface 2 have emissivities 0.4
and 0.6 and are maintained at 1200 K and 800 K respectively, while the third surface (surface
3) is radiatively insulated (re-radiating) and has an emissivity of 0.5. For the two dimensional
triangular enclosure as described above, answer the following:
(a) Calculate the total number of view factors and determine the view factor matrix
(b) Determine the net radiation heat transfer from surface 1
(c) Determine the temperature of surface 3
(d) If the emissivity of surface 3 is changed, how will your result change?

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