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

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SUMMARY

This discussion focuses on calculating temperature variation in a 2-D heat transfer scenario involving different thermal conductivities (k1 and k2) and convective heat transfer coefficients (h). The user seeks guidance on combining these varying 'k' values into a single equation for node 24, which experiences convection from the upper left and conduction from the upper right and bottom sides. The solution involves adding the power contributions from each side and formulating the appropriate partial differential equation (PDE) that incorporates both k1, k2, and the convective boundary condition.

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  • Understanding of 2-D heat transfer principles
  • Familiarity with thermal conductivity (k) and convective heat transfer coefficient (h)
  • Knowledge of partial differential equations (PDEs)
  • Basic concepts of boundary conditions in heat transfer
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  • Learn about combining different thermal conductivities in heat transfer calculations
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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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