Hi everybody... i would like to seek help for the problem below. the assumptions i've considered is that transfer is radial only since it is a very long cylinder (infinitely long) that transfer in z direction is negligible, thermal radiation is zero, and wood properties are constant. Starting from the general energy equation i've come with a form similar to a modified bessel function of zero order but I'm stuck after that. i hope you may be able to help me. thanks a lot in advance.(adsbygoogle = window.adsbygoogle || []).push({});

Problem : Burning of a wooden dowel

In a fire research experiment, a long wooden dowel ( around rod), diameter 1.00 inch, temperature 74°F, is placed in a stream of 1,500°F air. The heat transfer coefficient between gas and surface is 5 Btu/h-ft2-F. Estimate the exposure time up to ignition of the rod on the assumption that ignition takes place when the surface temperature reaches 750°F.

Wood Properties at 74°F

Ρ= 50 lb/ft3

k = 0.10 Btu/h-ft-F

cp = 0.6 Btu/lb-F

assume that the wood properties are constant up to 750°F. Neglect the possible role of thermal radiation.

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# Help needed! transport problems involving bessel eqn

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