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1. An aluminum circular cylinder 50 mm in diameter with ends insulated is initially at 100â—¦C....

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Mechanical Engineering

1. An aluminum circular cylinder 50 mm in diameter with endsinsulated is initially at 100◦C. Approximate the temperature at thecenter of the cylinder after 2 s if the lateral surface is kept at0◦C.For aluminum, k = 8.6 × 10−5m2 /s.

2. A circular cylinder 1 m in radius is completely insulated andhas an initial temperature distribution 100r â—¦C. Find an expressionfor the temperature as a function of r and t. Write integralexpressions for at least three coefficients in the seriesexpansion.

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