Unformatted text preview: insulation at the left (node 0) and radiation at the right boundary (node 5). The explicit transient finite difference formulation of the boundary nodes is to be determined. Assumptions 1 Heat transfer through the wall is given to be transient and onedimensional, and the thermal conductivity to be constant. 2 Convection heat transfer is negligible. Analysis Using the energy balance approach and taking the direction of all heat transfers to be towards the node under consideration, the explicit transient finite difference formulations become Left boundary node: t T T C x A x A g x T T kA i i i i i Δ − Δ = Δ + Δ − + 1 1 2 2 & Right boundary node: t T T C x A x A g x T T kA T T A i i i i i i Δ − Δ = Δ + Δ − + − + 5 1 5 5 5 4 4 5 4 i surr 2 2 ] ) ( ) [( εσ & ε T surr Δ x Insulated • • • • • • 0 1 2 3 4 5 g ( x ) 569...
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 Fall '10
 Dr.DanielArenas
 Thermodynamics, Conductivity, Convection, Mass, Heat, Heat Transfer, Boundary Node

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