In numerous experiments, magnetic energy coupled to strongly radiating Z-pi
nch plasmas exceeds the thermalized kinetic energy, sometimes by a factor o
f 2-3. We demonstrate that the enhanced energy coupling may be due to the b
uoyancy rise, of toroidal magnetic flux tubes converging to the axis throug
h. the unstable pinch plasma. We derive an explicit formula for the enhance
d dissipation rate and apply this formula to reconsider an old problem of p
ower balance in a steady-state Z pinch, and then to analyze a new challenge
of producing K-shell 3 to 10 keV radiation in long-pulse Z-pinch implosion
s.