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What is characteristic time in Fourier number exactly?

Please tell me

  • What is characteristic time in Fourier number?

  • How can I calculate characteristic time?

Suppose I started heating water in a closed container by immersion rod. And temperature increases continuously, Suppose at time, $t=260 sec$ temp. at center is $40^oC$, and at $t=480 sec$, center temp is $42^oC$. Then to calculate Fourier number I need characteristic time.

  • Then which time I should consider, $263$ or $480 sec$?