A long cylindrical wood log (k = 0.17 W/mK and = 1.28 10 -7 m

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A long cylindrical wood log (k = 0.17 W/m·K and α = 1.28 × 10-7 m2/s) is 10 cm in diameter and is initially at a uniform temperature of 15°C. It is exposed to hot gases at 550°C in a fireplace with a heat transfer coefficient of 13.6 W/m2·K on the surface. If the ignition temperature of the wood is 420°C, determine how long it will be before the log ignites. Solve this problem using analytical one-term approximation method (not the Heisler charts).

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Fundamentals of Thermal-Fluid Sciences

ISBN: 978-0078027680

5th edition

Authors: Yunus A. Cengel, Robert H. Turner, John M. Cimbala

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