Shortround6
Major General
The German axial flow compressors were actually not very good, having pressure ratios of under 4 to 1. Many of the centrifugal jets could match that and few exceeded it.
For the axial engine to really beat the centrifugal engine it needed to use a higher pressure ratio, this actually took several more years after WW II to get any significant advance (5 to 1 in not that much better than 4.1 to 1.) The Axial engines, while thinner were often much heavier for similar amounts of power.
The axial engine promised more power and better fuel economy, it took until the early 50s to fulfil that promise.
For the axial engine to really beat the centrifugal engine it needed to use a higher pressure ratio, this actually took several more years after WW II to get any significant advance (5 to 1 in not that much better than 4.1 to 1.) The Axial engines, while thinner were often much heavier for similar amounts of power.
The axial engine promised more power and better fuel economy, it took until the early 50s to fulfil that promise.