Problem 1: Radiation exchange in a gas turbine combustion chamber occurs between three primarysurfaces: 1) the downstream turbine vane, at a temperature of 2200K, 2) the bulkhead where combustionthe liner that contains the combustion gases, at a temperatureoccurs, at a temperature of 3000K, andof 2500K. All surfaces have the same total emissivity of 0.7. Assume that the conditions are steady, thesurfaces are opaque, diffuse, and gray, and the combustion gases do not participate in the radiationexchange. Further assume that this problem can be approximated as two-dimensional (i.e. depth intopage is unity).

\text { Dimensions: } w_{1}=6 \mathrm{~cm}, w_{2}=10 \mathrm{~cm}, L=40 \mathrm{~cm}, L_{3}=41 \mathrm{~cm} (a) Determine all view factors for all surfaces in this problem (9 total view factors). You may need to-consult your textbook for a reference for view factors for parallel plates connected by a midline, for F12. (b) Draw the radiation network for this problem and label all nodes and resistances using variables. (c) If the radiosity at surface 1 is J1=1670 kW/m, determine the radiation heat transfer rate per unit depth-into the page (kW/m) to surface 1 (the turbine vane) that must be removed by cooling. Ans: 47.8 kW/m