4 insec2 analysis assumptions and modeling notes the

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Unformatted text preview: 2114 . © SAS IP, Inc. VM147: Gray-Body Radiation within a Frustum of a Cone Overview Reference: R. Siegel, J. R. Howell, Thermal Radiation Heat Transfer, 2nd Edition, Hemisphere Publishing Corporation, 1981, pg. 277, prob. 9. Analysis Type(s): Thermal Analysis (ANTYPE = 0) AUX12 (Radiation View Factor Utility) Element Type(s): 2-D Conduction Bar Elements (LINK32) 2-D Thermal Surface Effect Elements (SURF151) Superelement (or Substructure) Elements (MATRIX50) Input Listing: vm147.dat Test Case A frustum of a cone has its base heated (q1) as shown. The top is held at temperature T3, while the side is perfectly insulated. All the surfaces are diffuse-gray (with emissivities ε1, ε2, ε3, respectively). Determine the temperature T1, achieved by surface 1 as a result of radiation exchange within the enclosure. Figure 147.1 Gray-Body Radiation Problem Sketch Material Properties ε1 = .06 ε2 = 0.8 ε3 = 0.5 Geometric Properties ri = 0.050 m r2 = 0.075 m h = 0.075 m Loading T3 = 550 K q1 = 6000 W/m2 Analysis Assumptions an...
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