Reproduce results from Vynnycky for flow-over-plate tutorial

As described in [1], we currently cannot reproduce the results from the Vynnycky paper [2] with the flow-over-plate tutorial. Comparing the measurements of our simulation with the results from [2] gives the following plot:

The main conclusion from [1] is the following: Coupling buoyantPimpleFoam with laplacianFoam (OF-OF) gives similar results as coupling buoyantPimpleFoam with FEniCS (OF-FE). However, both results do not agree with the reference results from [2] (Vynnycky).

More details and possibly helpful scripts can be found here (e.g. case files, simulation parameters, plotting scripts).

The main open questions are the following:

How to choose the temperature of the plate and at the inflow?

There are no numbers given in [2]. However, the results strongly depend on the temperatures used. And they are not independend, as the non-dimensional parameter theta suggests.

How to choose boundary conditions and geometry?

The geometry used for obtaining the results from above is not in agreement with the geometry from the Vynnycky paper. A comparison of both geometries and boundary conditions being used is given in [1, sl. 17]. Refer to [1, sl. 20] for results using the actual geometry from [2]. However, even if we use the correct geometry, we do not obtain the reference solution.

References

[1] B. Rüth, P. Meisrimel, P. Birken, G. Chourdakis and B. Uekermann: Using FEniCS and OpenFOAM for the simulation of conjugate heat transfer in a partitioned fashion, In 90th GAMM Annual Meeting, 2019.
[2] Vynnycky, M., et al. (1998). Forced convection heat transfer from a flat plate: the conjugate problem.

Start with the CHT/flow-over-plate tutorial and the buoyantPimpleFoam-fenics/validation directory on the GAMMAnnual2019 branch. Inspect the case files, simulation parameters, and plotting scripts, then compare the tutorial outputs with the Vynnycky reference and the geometries and boundary conditions described in [1]. Done means identifying and resolving the cause of the mismatch or documenting the remaining parameters and limitations.