THe following exercise deal with the steady state distribution of the temperature in either 2-dimensional plates or 3-dimensional regions.(adsbygoogle = window.adsbygoogle || []).push({});

Problem: A 10X20 rectangular plate with boundary conditions . at the lower side where there is poor insulation the normal derivative of the temperature is equal to 0.5 times the temperature

The rectangular 10 X 20 plate is as follows

bottom part : poor insulation

left side: Insulation

right side: Kept at 10 degrees

top side: Kept at 20 degrees

Write the BVP

Solution: What i found was the expression for poor insulation but i think this is more for one space variable, [tex]u_{x}(0,t)[/tex] + au(0,t) = 0

i wrote some BVP:

[tex]u_{x}(0,y) = 0[/tex]

u(x,0) = poor insulation ( i dont know how to do this part)

u(10,y) = 10

u(x,20) = 20

Is this even right?

any help would be appreciated

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# Rectangular Plate BVP problem

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