  Deciphering the flow below the cloud-level of Jupiter remains a critical
milestone in understanding Jupiter's internal structure and dynamics. The
expected high-precision Juno measurements of both the gravity field and the
magnetic field might help to reach this goal. Here we propose a method that
combines both fields to constrain the depth dependent flow field inside
Jupiter. This method is based on a mean-field electrodynamic balance that
relates the flow field to the anomalous magnetic field, and geostrophic balance
that relates the flow field to the anomalous gravity field. We find that the
flow field has two distinct regions of influence - an upper region in which the
flow affects mostly the gravity field, and a lower region in which the flow
affects mostly the magnetic field. An optimization procedure allows to reach a
unified flow structure that is consistent with both the gravity and the
magnetic fields.
