The free convection heat transfer coefficient on a thin hot vertical plate suspended in still air can be determined from observations of the change in plate temperature with time as it cools. The ambient air temperature is 18 C and the plate area (one side) is 0.01 m2 with a mass 0.12 kg and a specific heat of 2,746 J/kg*K. At the instant of time when the plate temperature is 295 C and the change in plate temperature with time is -0.035 K/s.
(a) Assuming the plate is isothermal and radiation exchange with its surroundings is negligible, evaluate the convection coefficient.
(b) Including radiation exchange with the surrounding at 2 C , evaluate the convection