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Unformatted text preview: explicit transient finite difference formulations become Left boundary node: t T T C x A x A g x T T kA T T hA T T A i i i i i i i i Δ − Δ = Δ + Δ − + − + − + ∞ 1 1 4 4 surr 2 2 ) ( ] ) ( [ ρ εσ & Heat transfer at right surface: t T T C x A x A g x T T kA Q i i i i i i Δ − Δ = Δ + Δ − + + 4 1 4 4 4 3 surface rightt 2 2 & & Noting that , the total amount of heat transfer becomes ∑ Δ = Δ = i i t Q t Q Q & & h, T ∞ Δ x q • • • • • 0 1 2 3 4 g ( x, t ) T surr T L ∑ ∑ = + = Δ ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ Δ − Δ + Δ − Δ − = Δ = 20 1 4 1 4 4 3 4 20 1 surface right surface right 2 2 i i i i i i i i t t T T C x A x A g x T T kA t Q Q & & 570...
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This note was uploaded on 01/22/2012 for the course PHY 4803 taught by Professor Dr.danielarenas during the Fall '10 term at UNF.
 Fall '10
 Dr.DanielArenas
 Thermodynamics, Conductivity, Convection, Mass, Heat, Radiation

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