The conduction heat transfer rate through a wall is modeled by the following equation: = k- L where Btu heat transfer rate in k = thermal conductivity of the wall A = area of the wall in fi² 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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Chapter2: Loads On Structures
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The conduction heat transfer rate through a wall is modeled by the following equation:
& kAT
L.
where
Btu/
heat transfer rate in
/hr
k = thermal conductivity of the wall
A = area of the wall in
fi?
L = wall thickness in "
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?
Transcribed Image Text:The conduction heat transfer rate through a wall is modeled by the following equation: & kAT L. where Btu/ heat transfer rate in /hr k = thermal conductivity of the wall A = area of the wall in fi? L = wall thickness in " 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?
Expert Solution
Step 1

The expression for heat transfer rate is given by,

Q=kALT

Here,

Q is the heat flow rate and its unit is Btu/hr.

k is the thermal conductivity of the wall.

A is the area of the wall and its unit is ft2.

L is the thickness of wall and its unit is ft.

t is the steady state temperature.

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