Consider the rectangular$-$shaped systems in the figure below,

comprising two contacting slabs of thermally conductive materials $($blue and red$).$ The

slabs have conductivity k$1$ and k$2$ and thickness d$1$ and d$2.$ In Scenario $($A$)$ the materials

are surrounded by fluids A and B$,$ each with given convection coefficient $($hA and hB$)$ and

bulk temperature $($TA and TB$).$ In Scenario $($B$)$ the slab on the left is put in contact with a

heat source that transfers a heat flux qB across the left boundary of the system. Find the

values of temperature at the interface between the two materials in Scenario A and

Scenario B$.$ Explicitly state all your assumptions.