Asymptotic Solution of the Turbulent Mixing Layer for Velocity Ratio Close to Unity

The equations describing the rst two terms of an asymptotic expansion of the solution of the planar turbulent mixing layer for values of the velocity ratio close to one are obtained The rst term of this expansion is the solution of the well known time evolving problem and the second which includes the e ects of the increase of the turbulence scales in the stream wise direction obeys a linear system of equations Numerical solutions of these equations for a two dimensional reacting mixing layer show that the correction to the time evolving solution may explain the asymmetry of the entrainment and the di erences in product generation observed in ip experiments