In: Mechanical Engineering
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?