# exam1_sol - ME 410 Spring 2008 Name Exam 1 Exam is open...

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Unformatted text preview: ME 410 Spring 2008 Name Exam 1 Exam is open notes, open book. Problems have indicated point value. Problem 1 (40 pts) Consider the base plate of a 1200 W household iron that has a thickness of L= 0.5 cm, base area of A = 300 cm 2 , and a thermal conductivity of k = 15 W/mK. The inner surface of the base plate is in contact with the resistance heaters inside, and the outer surface losses heat to the surrounds at 20°C with a convection coefficient of h=80 W/m 2 k. The base plate is initially in equilibrium with the ambient air. A. Begin with the most general form of the heat conduction equation for the base plate and determine the describing differential equation and boundary conditions for the temperature distribution in the base plate. Be specific with notation and labels. ( ) ( ) ( ) ∞ ∞ = = = − = ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ − = = ′ ′ ′ ′ = ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ − ∂ ∂ = − ∂ ∂ = + ∇ T x T T t L T h dx dT k m W A q q q dx dT k conditions Boundary t T dx T d t T c q T k t L x t x p , , 000 , 40 1 generation heat no transient, D 1 for reducing , 2...
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exam1_sol - ME 410 Spring 2008 Name Exam 1 Exam is open...

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