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Unformatted text preview: Homework E Solve the following problems. Turn in solutions and graphs on
paper. When computer tools are used, include enough details so that your solution is reproducible from the
provided information. The computational project needs to be
solved with SolidWorks Simulation. The solution to the
computational project should be described in a brief report. The
purpose is to practice professional communication in addition to
the theo1y and practice of ﬁnite element analysis. Refer to the
audiovisual tutorials "parallel plate heatsink" and "spacer" for
guidance to the computational project. Homework computational project E. 1 Using SolidWorks Simulation model the steadystate heat conduction
through a wall of thickness L using a tetrahedral FE model for a strip
of width d and depth Dz. On the right the surface temperature is
prescribed, on the left Newton's BC is given. Thermal conductivity is T: go°c ac : (.8 Wm /I< Compute the solution for the temperature
and visualize the temperature with iso
surfaces and the heat ﬂux with vectors. Finally, solve the problem using a mesh of a
single L2 element through the thickness, and
compare the temperature of the surface on
the left between the computational model
solution and the paper and pencil solution. [ J Homework 86b Solve the steady state temperature distribution for a squarecrosssection
chimney with a square duct using the mesh of T3 ﬁnite elements. Use as
many planes of symmetry as possible. Assume Newton's convection
boundary conditions. The ambient temperature and the heat surface transfer
coefficients are as show'11 in the ﬁgure. Assume homogeneous isotropic
material. Solve by hand; use of symbolic..""numerical algebra toolkits (Maple,
Mathematica, Matlab, Mathcad) is allowed. rc : 0.5W/(m.K) Exterior
Ta = —20°C Ta = 100000 2
. h : 15mm .K) .h = 5W m2.K a a a 57 Homework computational project 6.2 Solve the steady state temperature distribution for a squarecrosssection
chimney with a square duct from homework 86h on a threedimensional
slice geometry with SolidWorks draftquality ﬁnite elements. Obtain good
accuracy solution for the temperature at the corner A, and estimate the error of the paperandpencil solution for the temperature at A.
re : 0.5l/V/(m.K) Exterior
Ta = —2000
h : 15W/(m2.K) Interior Ta = 100000 ,h = 5W/(m2lf) ...
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 Spring '08
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