The purpose of the paper is to study the diffusion flames in rotating flows, considering general Lewis numbers. A similar study was indeed presented by Lozinski and Matalon in an earlier work, but with a Lewis number equal to 1. The authors start from the conservation equations for mass, momentum, temperature and species in terms of the velocity field, and which involve Darmköhler, Lewis (for the fuel and for the oxidizer) and Prandtl numbers. The authors use spherical coordinates assuming an axisymmetry with respect to \(\varphi =0\). On the surface \(r=1\), the temperature is prescribed, the heat transfer is expressed in terms of the latent heat of vaporization, and a Robin type boundary condition is imposed for the fuel species. Prescribed values of the unknowns are imposed at \(r=\infty \). The authors simplify the problem assuming large values of Darmköhler number and look for the unknown temperature as an even power series of the parameter \(\omega \) which is the ratio of the tangential velocity to the radial diffusion velocity. They give the expressions of the first two terms of this series. The main part of the paper presents some computations obtained for different values of Lewis number. The paper ends with a discussion of the extinction of flame within this context.