Conduction heat transfer with varying cross section

[imselva]

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

 

[Chestermiller]

I don't understand the geometry you are trying to specify.

 

[imselva]

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?

 

[imselva]

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. ?

 

[Chestermiller]

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?

 

[imselva]

Q1 = (-K*A1*(1020-T))/d1
Q2 = (-K*A2*(T-20))/d2

 

[Chestermiller]

Q1 = (-K*A1*(1020-T))/d1
Q2 = (-K*A2*(T-20))/d2

Q1 and Q2 are both Q. Eliminate T between the two equations.