7.) The conduction heat transfer rate through a wall is modeled by the following equation: Q = kAT L where Q = heat transfer rate in Btu hr k = thermal conductivity of the wall A = area of the wall in fr L= wall thickness in ft AT = steady-state temperature difference between the inside and the outside surfaces of the wall, in F° What is the appropriate unit for k if the preceding equation is to be homogeneous in units?

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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**Conduction Heat Transfer Through a Wall**

**Equation:**  
The conduction heat transfer rate through a wall is modeled by the following equation:

\[ \dot{Q} = k \frac{A}{L} \Delta T \]

**Where:**

- \( \dot{Q} \) = heat transfer rate in \( \frac{\text{Btu}}{\text{hr}} \)
- \( k \) = thermal conductivity of the wall
- \( A \) = area of the wall in \( \text{ft}^2 \)
- \( L \) = wall thickness in \( \text{ft} \)
- \( \Delta T \) = steady-state temperature difference between the inside and the outside surfaces of the wall, in \( F^\circ \)

**Question:**  
What is the appropriate unit for \( k \) if the preceding equation is to be homogeneous in units?
Transcribed Image Text:**Conduction Heat Transfer Through a Wall** **Equation:** The conduction heat transfer rate through a wall is modeled by the following equation: \[ \dot{Q} = k \frac{A}{L} \Delta T \] **Where:** - \( \dot{Q} \) = heat transfer rate in \( \frac{\text{Btu}}{\text{hr}} \) - \( k \) = thermal conductivity of the wall - \( A \) = area of the wall in \( \text{ft}^2 \) - \( L \) = wall thickness in \( \text{ft} \) - \( \Delta T \) = steady-state temperature difference between the inside and the outside surfaces of the wall, in \( F^\circ \) **Question:** What is the appropriate unit for \( k \) if the preceding equation is to be homogeneous in units?
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