A copper sheet of thickness 2L=2mm has an initial temperature of Ti=118C. It is suddenly quenched in liquid water, resulting in boiling at its two surfaces. For boiling, Newton's Law of Cooling is expressed as q''=h(Ts-Tsat), where Ts is the solid surface temperature and Tsat is the saturation temperature of the fluid (in this case Tsat=100C).
The convection heat transfer coefficient may be expressed as h=1010 W/m^2K^3(T-Tsat)^2. Determine the time needed for the sheet to reach a temperature of T=102C. Plot the copper temperature versus time for 0