Calculate heat flux (W/cm 2 ) for node (2, 2) in Figure using finite-difference approximations for the

Question:

Calculate heat flux (W/cm²) for node (2, 2) in Figure using finite-difference approximations for the temperature gradients at this node. Calculate the flux in the horizontal direction in materials A and B, and determine if these two fluxes should be equal. Also, calculate the vertical flux in materials A and B. Should these two fluxes be equal? Use the following values for the constants: Δz = 0.5 cm, h = 10 cm, k_A = 0.25 W/cm · C, k_B = 0.45 W/cm · C, and nodal temperatures: T₂₂ = 51.6°C, T₂₁ = 74.2°C, T₂₃ = 45.3°C. T₃₂ = 38.6°C, and T₁₂ = 87.4°C.