Concrete wall (25cm thick and thermal conductivity 0.9W/mK). Consider Convective boundary condition on one side ( h=100W/m²K and Tfluid=298K ) of the wall and heat flux (1250W/m² on the other side). Consider heat flux to be leaving the wall (heat being removed from the wall at a certain rate). Consider heat generation (〖1x10⁴ W/m³) in the wall.
i) Rederive the discretized equations for a composite wall made up of two materials (20cm thick concrete slab and 5cm thick insulation layer with thermal conductivity 0.01W/mK).
ii) Develop a MATLAB code and perform grid convergence analysis.