Mass, Momentum and Energy Transport Phenomena by Harry Van den Akker Robert F. Mudde

Author:Harry Van den Akker, Robert F. Mudde
Language: eng
Format: epub
Publisher: De Gruyter
Published: 2023-05-20T10:20:27.423000+00:00

Figure 3.20 shows numerical solutions for two moments in time: t = 8.5 s and 427 s, respectively (where Δx = 0.02 m and Δt = 0.85 s). It also shows the analytical solutions as solid lines for these two moments in time. It is clear that the numerical solutions closely correspond to the analytical ones.

The numerical methods can of course also be used effectively in the case of long-term heating. The temperature distribution of the copper strip for t = 2,654 s is shown in Figure 3.21. The numerical solution is denoted by the symbols, while the solid line is the analytical long-term solution to equation (3.99). There is a good agreement between numerical and analytical solutions. The broken line is the solution according to penetration theory which, it is clear, is no longer valid here.

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