Abstract
The motivation behind the thesis work has its origin in the applications of perforated plates to the flow control of transonic Aircrafts, as well as the effusive cooling for gas turbine engines. Aside the prior work done by P. Doerffer and T. Lewandowski in this area using the Finite Volume Method, there was an interest to explore the applicability of the Meshfree particle methods to simulate certain configurations of gas flow through microchannels, and whether such methods are practical enough to extend the model to further configurations. For that purpose, the Weakly Compressible Smoothed Particle Hydrodynamics was chosen to model low Reynolds number incompressible gas flows through microchannel, including heat transfer through the channel walls. A proposed scheme was implemented via LAMMPS software and the results were processed via a developped C++ code for cartesian interpolation using the SPH formula. Finally, a data bank was provided for all the test cases. In general, the SPH results well captures the various flow features in the domain. A careful choice regarding the parameters of the state equation is crucial to the solution accuracy as well as avoiding any unphysical behaviours. From a computational aspect, the implemented SPH scheme is much more expensive than traditional Eulerian solvers; hence it may not be suitable for practical situations. Further investigations are still required regarding the transient behavior of the model; and the effect of the model parameters needs to be quantified in order to stand on the best accuracy.