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An analytical model is proposed to calculate the three-dimensional axisymmetric turbulent flowfield in a radial vaneless diffuser. The model assumes that the radial and tangential boundary layer profiles can be approximated by power law profiles. Then, using the integrated radial and tangential momentum and continuity equations for the boundary layer and corresponding inviscid equations for the core flow, there results six ordinary differential equation in six unknowns which can easily be solved using a Runge- Kutta technique. A model is also proposed for fully developed flow. The results using this technique have been compared with the results from a three- dimensional viscous, axisymmetric duct code and with experimental data and good quantitative agreement was obtained. Additional keywords: Antrifugal compressors; numerical analysis; charts.