The experimental investigation of superfluid turbulence in He-3-B is generally not possible with the techniques which have been developcd for He-4-II. We describe a new method by which a transient burst of turbulent vortex expansion can be generated in He-3-B. It is based on the injection of a few vortex loops into rotating vortex-free flow. The time-dependent evolution of the quantized vorticity is then monitored with NMR spectroscopy. Using these techniques the transition between regular (i.e. vortex number conserving) and turbulent vortex dynamics can be recorded at T similar to 0.6T(c) and a number of other characteristics of turbulence can be followed down to a temperature of T less than or similar to 0.4 T-c.