- #1
jc2009
- 14
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THe following exercise deal with the steady state distribution of the temperature in either 2-dimensional plates or 3-dimensional regions.
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 don't know how to do this part)
u(10,y) = 10
u(x,20) = 20
Is this even right?
any help would be appreciated
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 don't know how to do this part)
u(10,y) = 10
u(x,20) = 20
Is this even right?
any help would be appreciated