Consider steady one-dimensional heat conduction in a plane wall with variable heat generat...

Consider steady one-dimensional heat conduction in a plane wall with variable heat generation and constant thermal conductivity. The nodal network of the medium consists of nodes 0, 1,2, 3,4, and 5 with a uniform nodal spacing of Δx. Using the finite difference form of the first derivative (not the energy balance approach) , obtain the finite difference formulation of the boundary nodes for the case of insulation at the left

FIGUREP5-10

boundary (node 0) and radiation at the right boundary (node 5) with an emissivity of ε and surrounding temperature of Tsurr.