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Unformatted text preview: up. The PDE is: ( ∂ T/ ∂ t) = α ( ∂ 2 T/ ∂ x 2 ) where the LHS term accounts for the time dependency, the RHS term for heat diffusion in the slab and α is the thermal diffusivity of the slab material (units cm 2 /s). We have the following BCs, after placing the coordinate system at the insulated side of the slab: IC) t< 0, T=T o , all x BC1) all t, ( ∂ T/ ∂ x)=0, x=0 BC2) t>0, -k ( ∂ T/ ∂ x)= h(T- T ∞ ), x= l Here k is the thermal conductivity of the slab and h is the heat transfer coefficient for the fluid. Using separation of variables, obtain the solution for T....
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This note was uploaded on 02/18/2010 for the course ENGINEEING 32145 taught by Professor Stroeve during the Fall '09 term at Universidad de Carabobo.
- Fall '09