CosmosWorks算法验证文件 5 (Thermal Analysis)

tigerdak

.
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。
5 L3 E9 K% X8 V
Title      Temperature Distribution in a Short, Solid Cylinder
7 ]$ b( |3 L# l2 p
" g* ]# k. K+ D6 t4 L6 Y$ k9 a  tOverview

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! z, I. v" Q; dTest Case

A short, solid cylinder is subjected to the surface temperatures shown. Determine the temperature distribution within the cylinder

Figure 96.1  Short, Solid Cylinder Problem Sketch

1 Y# z/ A& @* r9 z+ c5 [, V

( L6 z# y5 X. ]2 i8 s$ J

Material Properties k = 1.0 Btu/hr-ft-°F

Geometric Properties r =l= 0.5 ft

Loading Ttop = 40°F Tbot = Twall = 0°F

; i. u( R3 K2 z, W# R' Z
Analysis 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.

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

Figure 96.2  Temperature Isosurface Display with Annotation
: J( z9 }" b/ I0 c* u

/ r* z% d0 E, s2 j. x3 }
. z0 @9 x, b  p; Z[ 本帖最后由 tigerdak 于 2007-11-6 12:02 编辑 ]

bachelor717

感覺起來好像有限元素法一樣....有熟悉的感覺.