As shown in the figure below, a two-dimensional rectangular plate is subjected to prescribed boundary conditions and has a thermal conductivity of
50(W)/(m)*K
, where
W=0.8m,L=1.6m,T_(1)=50\deg C
, and
T_(2)=150\deg C
◻
Beginning with the exact solution for the temperature distribution, derive an expression for the heat transfer rate per unit thickness from the plate along the lower surface. Use your expression to evaluate the heat rate from the plate, kW/m, considering the first five nonzero terms of the infinite series.