: A solid bar of Radius r$=$b is initially at a uniform temperature T$0.$ For times t$>0,$ it is cooled by convection from the surface at r$=$b$$ into ambient air at temperature Tair with a heat transfer coefficient hair $.$ Write the mathematical formulation of this heat conduction problem for the determination of one dimensional time dependent temperature distribution T$($r$,$t$)$ within the rod

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$$ r and t dimensions only$$

Boundary conditions:

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$$: A solid bar of Radius r$=$b is initially at a uniform temperature T$0.$ For times t$>0,$ it is cooled by convection from the surface at r$=$b$$ into ambient air at temperature Tair with a heat transfer coefficient hair $.$ Write the mathematical formulation of this heat conduction problem for the determination of one dimensional time dependent temperature distribution T$($r$,$t$)$ within the rod

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$$ r and t dimensions only$$

pls solve it to pc

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