Heat transfer in 2-D with different 'k' values.

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The discussion focuses on calculating temperature variation in a 2-D heat transfer scenario involving node 24, which experiences convection and conduction from different directions with varying thermal conductivities (k1 and k2). The key challenge is combining these different k values into a single equation. Participants suggest adding the power contributions from each side of the node and inquire about the specific lines of constant x and y. Additionally, they seek clarification on the partial differential equation (PDE) that incorporates k1 and k2, as well as the mathematical expression for the convective boundary condition. The conversation emphasizes the need for a clear mathematical framework to solve the heat transfer problem effectively.
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Hello. I'm a student of Univ. of Korea.

As you can see in the attachment, I'm calculating the Temp variation in 2-D.

The node 24 has a convection from left upper quadrant with h, a conduction from right upper with k1 and a conduction from bottoms with k2.

I can't figure out how should I combined those different k values in one Equation...

Thanks..
 
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I think you just add the power coming into 24 through each side.
 
Which are the lines of constant x and which are the lines of constant y? What is the pde, including the k1 and k2? What is the mathematical expression of the convective BC?
 

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