Conduction heat transfer with varying cross section

In summary, the conversation discusses calculating the conduction heat transfer between two parts with different temperatures and geometries. The equations for heat conduction in each part are given, and the goal is to find the conduction heat transfer Q.
  • #1
imselva
14
0
Conduction_Case_12.jpg

How to modify this Formula? and arrive at the solution.
Q = -K(Th-Tc)A/thickness
 
Science news on Phys.org
  • #2
I don't understand the geometry you are trying to specify.
 
  • #3
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
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
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
Q1 = (-K*A1*(1020-T))/d1
Q2 = (-K*A2*(T-20))/d2
 
  • #7
imselva said:
Q1 = (-K*A1*(1020-T))/d1
Q2 = (-K*A2*(T-20))/d2
Q1 and Q2 are both Q. Eliminate T between the two equations.
 

1. What is conduction heat transfer?

Conduction heat transfer is the process by which heat is transferred through a material without any movement of the material itself. This occurs due to the transfer of energy between neighboring molecules in a material.

2. How does the cross section affect conduction heat transfer?

The cross section of a material can affect conduction heat transfer by altering the amount of surface area available for heat to transfer through. A larger cross section means more surface area for heat to travel through, resulting in a slower rate of heat transfer.

3. What is the relationship between temperature and conduction heat transfer?

The rate of conduction heat transfer is directly proportional to the temperature difference between two points. This means that the greater the temperature difference, the faster heat will transfer through a material.

4. How does material composition impact conduction heat transfer?

The type of material and its composition can greatly affect conduction heat transfer. Materials with higher thermal conductivity, such as metals, will transfer heat more quickly than materials with lower thermal conductivity, such as wood or plastics.

5. Can conduction heat transfer occur in a vacuum?

No, conduction heat transfer requires the presence of molecules to transfer heat between. In a vacuum, there are no molecules present, so heat transfer cannot occur through conduction.

Similar threads

Replies
7
Views
228
  • Thermodynamics
Replies
6
Views
454
Replies
2
Views
953
  • Thermodynamics
Replies
5
Views
1K
Replies
20
Views
1K
Replies
2
Views
1K
  • Thermodynamics
Replies
2
Views
713
  • Thermodynamics
Replies
2
Views
1K
Back
Top