1. Reference problem#

1.1. Geometry#

We are dealing with a one-dimensional problem in Cartesian coordinates. The « structure » considered is finally a segment of length 1

_images/Shape1.gif

1.2. Boundary conditions and loads#

A pressure varying linearly from \(P\) in \(x\mathrm{=}0\) to \(0\) in \(x\mathrm{=}1\) is imposed:

_images/Object_1.svg

In \(x\mathrm{=}0\): the temperature is imposed zero

In \(x\mathrm{=}1\): the temperature is set to 1.

1.3. Initial conditions#

\(T(x)\mathrm{=}0\) everywhere

We are interested in the permanent regime