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Unformatted text preview: t T ∂ ∂ = ∂ ∂ 0.0 0.40 0.64 0.64 0.40 0.0 t=0.04 0.0 0.48 0.80 0.80 0.48 0.0 t=0.02 0.0 0.64 0.96 0.96 0.64 0.0 t=0 x 6 =1.0 x 5 =0.8 x 4 =0.6 x 3 =0.4 x 2 =0.2 x 1 =0 EX5. Establish a PDE, initial condition and boundary condition for the following heat transfer problem: A long thin rod with a length of 10cm is made from aluminium (Al). The thermal conductivity of Al is k=0.49 (cal/s ⋅ cm ⋅° C); The heat capacity of Al is C v =0.2174 (cal/g ⋅° C). The density is ρ =2.7 (g/cm 3 ). T(x=0)=100 ° C; T(x=10cm)=50 ° C At t=0, T=0 ° C...
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 Spring '10
 Dr.G.P.Zheng
 Heat, Heat Transfer, Partial differential equation, Parabolic partial differential equation, heat transfer equation

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