Reply by the Authors to G. Emanuel

W E would like to thank Prof. Emanuel for his interest and for his comment on our recent paper,¹ which included an exact inversion formula of the Prandtl-Meyer function for a specific heat ratio of γ = 5/3. After presenting our exact inversion formula in Ref. 2, we made an unfruitful effort to determine whether similar inverse relations were reported in the literature. We failed to discover the work of Probstein³ whose exact inversion formula for γ = 5/3 is different than ours.