Heat transfer - PDE second order

momo91

New member
Joined
Oct 16, 2020
Messages
2
Hello,

I am working with a heat transfer problem and have been looking for ways to solve the PDE, but I am really stuck. The energy equation boils down to;

1602869556980.png

In this case U and alfa can be treated as constant. Any advice for how I can solve this? Is a coordinate change necessary to solve it, if so any good material/video that I could look into?

Have a great evening
/M

The boundary conditions are as follows;
dT/dY = 0 at y=0, x=0
T = T_s at y=+- b (symmetric) where b is the distance from the centreline of the duct to the wall.
 

Subhotosh Khan

Super Moderator
Staff member
Joined
Jun 18, 2007
Messages
22,405
Hello,

I am working with a heat transfer problem and have been looking for ways to solve the PDE, but I am really stuck. The energy equation boils down to;

View attachment 22358

In this case U and alfa can be treated as constant. Any advice for how I can solve this? Is a coordinate change necessary to solve it, if so any good material/video that I could look into?

Have a great evening
/M

The boundary conditions are as follows;
dT/dY = 0 at y=0, x=0
T = T_s at y=+- b (symmetric) where b is the distance from the centreline of the duct to the wall.
Please see the responses at:

 

momo91

New member
Joined
Oct 16, 2020
Messages
2
Is it possible to get guidence on where I can learn/see the explanation for the solution? Unfortunetly I do not have my multivariable calculus book anymore.
 
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