Conduction heat transfer with varying cross section

  • #1
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0

Summary:

The thickness of the 39.4mm part is 5mm and the thickness of 64.8 mm part is.
The temperature on the top cross sectional Surface is 1020°C and 20°C on the Bottom cross sectional surface.
If K is the thermal conductivity of the material. T1 and T2 are hot and Cold temp. A1 and A2 are the cross sectional Areas. What is the conduction heat Transfer Q?
Conduction_Case_12.jpg

How to modify this Formula? and arrive at the solution.
Q = -K(Th-Tc)A/thickness
 

Answers and Replies

  • #3
14
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The geomentry consists of two parts in complete contact with each other.
The first part is a Stadium shape with 5 mm thickness and a height of 39.4mm.
The second part is also Stadium shape with 0.9mm thickness and a height of 64.8mm.

The Bottom of the first part is at 1020°C and the top for the second part is 20°C.
I want to calculate the conduction heat Transfer between the two different temperatures. How to find Q?
 
  • #4
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View attachment Unbenannt.PNGThe temperature T1 at the top Surface is 1020°C and T2 at the Bottom Surface is 20°C and K is the thermal conductivity of the material.

What is the conduction heat Transfer Q. ?
 
  • #5
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4,357
Let T be the temperature at the junction between the two parts. Q is going to be the same through each of the two parts. In terms of T, what are the two heat conduction equations for each of the two parts?
 
  • #6
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Q1 = (-K*A1*(1020-T))/d1
Q2 = (-K*A2*(T-20))/d2
 
  • #7
20,447
4,357
Q1 = (-K*A1*(1020-T))/d1
Q2 = (-K*A2*(T-20))/d2
Q1 and Q2 are both Q. Eliminate T between the two equations.
 

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