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Consider a short cylinder whose top and bottom surfaces are insulated. The cylinder was initially at a uniform temperature of Ti. At time t=0, the cylinder is suddenly subjected to a convection from its side surface to a surrounding fluid at temperature T infinite. The convection heat transfer coefficient of h. Assuming constant thermal conductivity (k) of the cylinder material and no heat generation by the cylinder, Write the governing equation (in its simplest form) and the boundary & initial conditions to find the temperature distribution during this heat conduction. DO NOT SOLVE the differential equation.
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