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hw 5

# hw 5 - Homework E Solve the following problems Turn in...

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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 steady-state 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 86-b Solve the steady state temperature distribution for a square-cross-section 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 square-cross-section chimney with a square duct from homework 86-h on a three-dimensional slice geometry with SolidWorks draft-quality ﬁnite elements. Obtain good accuracy solution for the temperature at the corner A, and estimate the error of the paper-and-pencil 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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