- #1
ficku1
Homework Statement
I have to calculate the stationary field inside a room.
Homework Equations
The Attempt at a Solution
I used the diffusion equation to calculate the temperature, which is
T(x,y)=(Eeknx+Fe-knx)cos(kny),
k=(n*pi/a), a is the length of the room.
Now i have to satisfy boundary conditions
-λdT/dx(x=0,y)=h((T(0,y)-T1) and
-λdT/dx(x=a,y)=h((T2-T(a,y)).
h is convective heat coefficient.
I am wondering if this is possible to solve without the use of Matlab or some programme?
I can't figure out how to get constants E and F with these two BCs.
I tried and i got
-λk(E-F)cos(ky)=h((E+F)cos(ky)-T1) but i don't know how to continue. Do you mulltiply it by cos(kmy) and then integrate it? But I can't come to any reasonable result, i can't get the E or F out of it.
If anybody has any advice i would be very happy to hear it.
Thank you.