Problem 1 The oblate spherical coordinate system ((n, 0, 0) is related to rectangular coordinates as follows: x = Acoshn sine coso y = Acoshn sino sino z = Asinhn cos Determine the scaling factors and develop an expanded form of the Heat Conduction Equation considering a moving solid. Problem 2 Consider 1-D, steady conduction through a composite wall fabrication with two different Materials A and B. The wall composed of material A is in direct contact with a well-insulated surface at x = 0 and is in imperfect contact with a wall composed of Material B at x = L. A constant heat sink is applied within Material B, and convective heat transfer occurs at x = 2L. The thermal conductivities of Materials A and B are different with KA > kg. Develop a simplified form of the Heat Conduction Equation for Material Domains A and B and define all boundary conditions. Sketch the temperature profile in Figure 2. x=0 L- Material A Material B Figure 2. h, T