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# HW1 - CHE 303-Problem Set 1 Due Oct 5 2011 4 PM 1 Consider...

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CHE 303-Problem Set 1 Due Oct. 5, 2011, 4 PM 1) Consider a two dimensional slab that is a composite of two materials; one of the materials has a thermal conductivity of 14 W/m/C and the other a thermal conductivity of 23 W/m/C. The wall bounding the less conductive material is kept at 43 deg. C while the wall near the more conductive material is kept at 28 deg. C. Assume that the top and bottom walls are bounded by good insulators such that there is negligible heat transfer in the y direction. The dimension of the square slab is 2 m, and the slab consists of 1 meter of each material, a) What is the temperature at the interface between the two materials? b) What amount of heat is transferred across the slab per meter of depth (into the page) per unit time? 2) Consider the temperature variation in a silicon chip below which runs an array of parallel wires that lead to an integrated circuit. Each wire carries 3 mA of current with a voltage drop of 1 Volt along its length (along z ) of 1 cm.

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HW1 - CHE 303-Problem Set 1 Due Oct 5 2011 4 PM 1 Consider...

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