Consider the square channel shown in the sketch operating under steady-state conditions. The inner surface of the channel is at a uniform temperature of 700K, while the outer surface is exposed to convection with a fluid at 300K and a convection coefficient of 50W/m2. K. From a symmetrical element of the channel, a two dimensional grid has been constructed and the nodes labeled. The temperatures for nodes 1,3,6,8, and 9 are identified: T1=473.5K,T3=425.5K,T6=556.1K,T8=T9=700K. The thermal conductivity of the material is k=1.0W/mK. Find the temperature at node 2 , in K. T2= Step 2 Find the temperature at node 4 , in K. Find the temperature at node 7, in K. T7= K Step 4 Find the heat loss per unit length by convection from node 2 , in W W/m. Solve for the heat loss per unit length from the whole channel (all 8 control volumes), in W/m