We can identify some cases that have a reference solution (either analytical or established) and solve the same with Lizzy to compare results.
The channel flow experiment, as described in the well-known work by Weitzenbock, has an analytical solution. For a constant inlet pressure and a perfectly one-dimensional flow, the time of arrival of the flow front at a distance L from the inlet is expressed as:
To conduct the channel flow experiment, we will use the following values:
-
$\phi$ = 0.5 -
$\mu=0.1$ Pa$\cdot$s - $\Delta p=$1.0E+05 Pa
-
$\mathbf{K}$ = 1.0E-10$\cdot I$ m$^2$
By plugging the values in Eq. (XXXX), and considering a distance L = 1m, we obtain a theoretical arrival time of:
The simulated scenario is the same as seen in Channel flow experiment tutorial, with dimensions L = 1 m, W = 0.5 m
Running the simulation with increasing number of elements we obtain the following results:
| Number of elements | Fill time [s] | % Error |
|---|---|---|
| 16 | 2530.1 | 1.20 |
| 64 | 2510.5 | 0.42 |
| 256 | 2503.4 | 0.13 |
| 1024 | 2501.0 | 0.04 |
| 4096 | 2500.3 | 0.01 |
As the number of elements increases, the fill time of the part approaches the theoretical solution and the error decreases.
For this validation we simulate a radial infusion experiment with an isotropic material. The analytical solution for time of arrival of the flow front at a radial distance