Thermodynamics HW Solutions 465

Thermodynamics HW Solutions 465 - Chapter 5 Numerical...

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Unformatted text preview: Chapter 5 Numerical Methods in Heat Conduction 5-73 A plane wall with no heat generation is subjected to specified temperature at the left (node 0) and heat flux at the right boundary (node 6). The explicit transient finite difference formulation of the boundary nodes and the finite difference formulation for the total amount of heat transfer at the left boundary during the first 3 time steps are to be determined. Assumptions 1 Heat transfer through the wall is given to be transient, and the thermal conductivity to be constant. 2 Heat transfer is one-dimensional since the plate is large relative to its thickness. 3 There is no heat generation in the medium. q Δ x T • • • • • • • 0 1 2 3 4 5 6 Analysis Using the energy balance approach and taking the direction of all heat transfers to be towards the node under consideration, the explicit finite difference formulations become Left boundary node: C 50 ° = = T T i Right boundary node: t T T C x q x T T k i i i i Δ − Δ =...
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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.

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