In this project, you will perform transient analysis on a segment of a wall. The wall is made of 3

materials: brick, plaster and foam. The brick has the following properties: k = 2.5 W/mK, p =

2400 kg/m3, cp = 800 J/kgK. The plaster has the following properties: k = 0.8 W/mK, p = 1800

kg/m3, cl, = 850 J/kgK. The foam has the following properties: k = 0.25 W/mK, p = 40 kg/m3, cp

= 900 J/kgK. The leﬁ: side of the wall is subject to convection with an ambient temperature of

250 deg C. The right side of the wall is subject to convection with an ambient temperature of 25

deg C and a heat transfer coefﬁcient of 10 W/mzK. The top and bottom wall surfaces can be

treated as insulated. Consider a 1 m segment (depth) of the wall. The wall is initially at a

uniform temperature of 25 deg C. 1ch 8cm 1 cm plaster 4—>4———>4—> 4—)

1.5 cm 3 cm 1.5 cm 1.5 cm Write an example nodal equation for each of the 6 following locations (use variables, not

numbers): I. Left edge of plaster subject to convection 2. Upper left corner of plaster subject to convection (and insulated top) 3. Interface between brick and plaster — edge 4. Interface between brick and plaster — corner 5. Top surface at interface between foam and plaster (insulated top surface)

6. Internal node in brick Using thermal resistance, calculate the temperature at the 5 points on the diagram. Show all

work.