Laboratory scale platform suitable for investigations on the structure of laminar diffusion and premixed flames in a counter-flow burner configuration is reported within this work. In particular, it is focused on design and setup of counter-flow burner apparatus specifically aimed at stabilization of laminar premixed cool flames. One-dimensional numerical simulations of dimethyl ether-air flames with detailed chemical kinetics and multi-component transport were carried out. More complex, three-dimensional, numerical simulations were performed assuming axially symmetric flow fields in realistic burner geometry, when addressing the effect of different nozzle shape on the flow-fields and corresponding flame structure.