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.
