| Author | Message | ||
     Gary Davies (gary_davies) New member Username: gary_davies Post Number: 1 Registered: 03-2005 |
I am setting up the thermal entry problem in FlexPDE 4. Briefly, a fluid passing along a pipe encounters a change in pipe wall temperature. To establish is the thermal profile. The solution could be steady state, eg where a pipe enters the ground, or transient, if the pipe wall temperature was being dynamically controlled for some reason. For pipes of circular section, the problem can be simply modelled in 2D using axisymmetry. A solution requires coupling of the velocity field (which assuming small changes in viscosity with temperature can be obtained independently) with the heat equation. Can this be achieved in FlexPDE, and what would the resulting heat equation look like? Thanks Gary | ||
| Robert G. Nelson (rgnelson) Moderator Username: rgnelson Post Number: 334 Registered: 06-2003 |
The buoyant flow examples do a problem very similar to this, with coupled heat and flow equations. In that case, we use a streamline/vorticity model, but the same thing could be done with Navier-Stokes equations. See "Samples | Steady_State | Fluids | Buoyant.pde" and "Samples | Time_Dependent | Fluids | BuoyantT.pde". |