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Application of Series in Heat Transfer: transient heat conduction. This Fourier series for the temperature converges slowly when the non-dimensional value of time that appears in the exponential called the Fourier number, Fo, is less than 0.2, where. Fo 0.2 fast convergence. In our case, our bar is L=10cm and α=10. 3.8 Transient conduction 3.8.1 Lumped thermal capacity model Internal energy generation Temperature-dependent specific heat Pure radiation cooling Simultaneous convective–radiative cooling Temperature-dependent heat transfer coefficient Heat capacity ofthe coolant pool 3.8.2 Semi-infinite solid model Specified surface temperature.
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