A composite wall is made of wood (Zw = 0.0127 m), cork-board (Lcb = 0.1016 m), and concrete (Le=0.0762 m). The thermal conductivities of the wall materials are k=0.151 W/m-K, keb = 0.0433 W/m-K, and ke = 0.762 W/m-K. The initial temperatures of the wall are 255.4 K (Tin) and 297.1 K (Tour), respectively. Assuming one-dimensional, steady state conduction, no internal heat generation. Wood Cork-board Concrete Tin Lew Lcb Lc T out T=300 K h=10 W/m²K * Please note: you may ignore convection for (a) to (c). Convection is only considered in (d). (a) Sketch a thermal circuit for the composite wall and label each thermal resistance term; (b) Compute the total unit thermal resistance of the composite wall and the heat flux through the wall; (c) Find the temperature at the interface between the wood and cork-board; (d) If the outside wall experiences an airflow at an ambient temperature of 300 K, with h of 10 W/m²K, what would be the new outside temperature (Tout,new) of the wall?

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Chapter4: Numerical Analysis Of Heat Conduction
Section: Chapter Questions
Problem 4.12P
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A composite wall is made of wood (Zw = 0.0127 m), cork-board (Lcb = 0.1016 m), and concrete
(Le=0.0762 m). The thermal conductivities of the wall materials are k=0.151 W/m-K, keb =
0.0433 W/m-K, and ke = 0.762 W/m-K. The initial temperatures of the wall are 255.4 K (Tin) and
297.1 K (Tour), respectively. Assuming one-dimensional, steady state conduction, no internal heat
generation.
Wood
Cork-board
Concrete
Tin
Lew
Lcb
Lc
T
out
T=300 K
h=10 W/m²K
* Please note: you may ignore convection for (a) to (c). Convection is only considered in (d).
(a) Sketch a thermal circuit for the composite wall and label each thermal resistance term;
(b) Compute the total unit thermal resistance of the composite wall and the heat flux through the
wall;
(c) Find the temperature at the interface between the wood and cork-board;
(d) If the outside wall experiences an airflow at an ambient temperature of 300 K, with h of 10
W/m²K, what would be the new outside temperature (Tout,new) of the wall?
Transcribed Image Text:A composite wall is made of wood (Zw = 0.0127 m), cork-board (Lcb = 0.1016 m), and concrete (Le=0.0762 m). The thermal conductivities of the wall materials are k=0.151 W/m-K, keb = 0.0433 W/m-K, and ke = 0.762 W/m-K. The initial temperatures of the wall are 255.4 K (Tin) and 297.1 K (Tour), respectively. Assuming one-dimensional, steady state conduction, no internal heat generation. Wood Cork-board Concrete Tin Lew Lcb Lc T out T=300 K h=10 W/m²K * Please note: you may ignore convection for (a) to (c). Convection is only considered in (d). (a) Sketch a thermal circuit for the composite wall and label each thermal resistance term; (b) Compute the total unit thermal resistance of the composite wall and the heat flux through the wall; (c) Find the temperature at the interface between the wood and cork-board; (d) If the outside wall experiences an airflow at an ambient temperature of 300 K, with h of 10 W/m²K, what would be the new outside temperature (Tout,new) of the wall?
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