Stretch rate of tubular premixed flames

Following Seshadri and Williams solution describing the flow field for the opposed jet burner, the analytical solution is given for the flow field of two other burners: the opposed tubular burner and the tubular burner. Under plug flow boundary conditions, it is shown that the stretch rate at the stagnation surface of the opposed tubular burner is k=πV/(R2−R1)k=πV/(R2−R1) for the case of equal velocities and equal densities (i.e., ρ1=ρ2ρ1=ρ2 and V1=−V2=VV1=−V2=V). For the tubular burner, the stretch rate at the center of the burner is k=πV/R2k=πV/R2. The comparison of the numerical simulation and analytical solution is carried out to verify the analytical solution.