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9 j$ C+ @6 j/ K) w提示:已知一个圆柱体的顶面温度和侧面、底面温度,求温度分布。
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0 {! O' r9 F: a3 ~* S, R; ?0 |6 LTitle Temperature Distribution in a Short, Solid Cylinder
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| Reference: | P. J. Schneider, Conduction Heat Transfer, 2nd Printing, Addison-Wesley Publishing Co., Inc., Reading, MA, 1957, pg. 134, fig. 6-7. | | Analysis Type(s): | Thermal Analysis |
& ]; g j9 u# y4 X8 x8 WTest Case* [) v. R- {% x
# A/ y- ^5 ^0 Q! rA short, solid cylinder is subjected to the surface temperatures shown. Determine the temperature distribution within the cylinder
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Figure 96.1 Short, Solid Cylinder Problem Sketch
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| Material Properties | | k = 1.0 Btu/hr-ft-°F |
| | Geometric Properties | | r =l= 0.5 ft |
| | Loading | | Ttop = 40°F | | Tbot = Twall = 0°F |
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; k8 O1 Q5 T" DAnalysis Assumptions and Modeling NotesSince the problem is axisymmetric, the entire cylinder geometry is not required. An angle Θ = 45° is arbitrarily chosen. Postprocessing is used to print temperatures at the centerline in geometric order. A finer mesh density (than required for reasonable results) is used to produce a smooth isosurface plot.
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Results Comparison| At Centerline | Target | ANSYS | Ratio | | z = 0.0 ft | T, °F | 0.0 | 0.0 | -- | | z = 0.125 ft | T, °F | 6.8 | 6.8 | 1.007 | | z = 0.25 ft | T, °F | 15.6 | 15.4 | 0.984 | | z = 0.375 ft | T, °F | 26.8 | 26.6 | 0.991 | | z = 0.5 ft | T, °F | 40.0 | 40.0 | 1.00 |
l+ f! H+ f) @, _- X9 ^8 ?Figure 96.2 Temperature Isosurface Display with Annotation% ~1 C: l! s1 l, }( y4 t
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1 X* b' D& Z6 B[ 本帖最后由 tigerdak 于 2007-11-6 12:02 编辑 ] |
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