Start with 2D/3D heat differential equation Think about a sphere with radius b, and it is...

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Start with 2D/3D heat differential equation Think about a sphere with radius b, and it is heated to uo°C, then prove that its centre's temperature is u(0, t) = 2uo (-1)^-1-²²-² n=1 where a is the thermal diffusivity. Then consider a rod with length 2b and has same initial temperature, compare rod's centre's temperature with the central temperature of sphere. Start with 2D/3D heat differential equation Think about a sphere with radius b, and it is heated to uo°C, then prove that its centre's temperature is u(0, t) = 2uo (-1)^-1-²²-² n=1 where a is the thermal diffusivity. Then consider a rod with length 2b and has same initial temperature, compare rod's centre's temperature with the central temperature of sphere.

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The basic objective of this course can be stated as given an object that is subjected to known tempe... View the full answer