- #1
Jennifer_88
- 17
- 0
Hi,
I am working out a heat transfer problem but I've to solve the Differential equation in order to keep going on but it's been a long time since i did any Differential. your help will be appreciated.
d/dx[(k+aT)dT/dx]=0
i need thins in terms of T(x)
my boundary conditions T(x=0)=To
T(x=L)=TL
my work
d/dx[(k+aT)dT/dx]=0
(k+aT)dT=C1dx
KT+(a/2)T^2=C1x+C2
rearranging
T^2+(2/a)*k*T=(2/a)*(C1x+C2)
lets call (2/a)=z
T^2+z*k*T=z*(C1x+C2)
i could not get further from here due to lack of my Deferential equation knowledge. I really need to learn this as I'm expecting to see a lot more of this later and i actually took differential long time ago. any help would be appreciated
thanks in advance
I am working out a heat transfer problem but I've to solve the Differential equation in order to keep going on but it's been a long time since i did any Differential. your help will be appreciated.
d/dx[(k+aT)dT/dx]=0
i need thins in terms of T(x)
my boundary conditions T(x=0)=To
T(x=L)=TL
my work
d/dx[(k+aT)dT/dx]=0
(k+aT)dT=C1dx
KT+(a/2)T^2=C1x+C2
rearranging
T^2+(2/a)*k*T=(2/a)*(C1x+C2)
lets call (2/a)=z
T^2+z*k*T=z*(C1x+C2)
i could not get further from here due to lack of my Deferential equation knowledge. I really need to learn this as I'm expecting to see a lot more of this later and i actually took differential long time ago. any help would be appreciated
thanks in advance