A thick metal plate (alpha = 3.5 x 10-6 m2/s and k = 0.7 W/m-K), initially at a uniform temperature of 100oC, is suddenly exposed to a convection environment of water at 20oC, giving a very large convection coefficient.
1. A thick metal plate (alpha = 3.5 x 10-6 m2/s and k = 0.7 W/m-K), initially at a uniform temperature of 100oC, is suddenly exposed to a convection environment of water at 20oC, giving a very large convection coefficient.
a. Sketch the surface heat flux, q”, as a function of time
b. Using an explicit numerical scheme with a time step of 60 s, calculate the time required for the temperature to change 80 mm from the surface.